17 Problem-solving Orla drove 155 km in 2 hours. Then she drove 48 km at a speed of 60 km/h. 48 Work out Orla's average speed for the whole journey.​

Answers

Answer 1

The average speed for the whole journey is 72.5 km/h. The result is obtained by using the formula for the average speed.

What is average speed?

Average speed is the overall speed of a moving object during a given amount of time. It can be expressed as

Avg speed = Total distance covered / Total time taken

The speed itself is

v = s/t

Where

v = speeds = distancet = time taken

Orla drove 155 km in 2 hours. Then, she drove 48 km at a speed of 60 km/h. Find the average speed for the whole journey!

We have

s₁ = 155 kmt₁ = 2 hourss₂ = 48 kmv₂ = 60 km/h

The time taken in the second journey is

v₂ = s₂/t₂

60 = 48/t₂

t₂ = 48/60

t₂ = 0.8 h

The average speed will be

= total distance covered / total time taken

= (s₁ + s₂)/(t₁ + t₂)

= (155 + 48)/(2 + 0.8)

= (203)/(2.8)

= 72.5 km/h

Hence, the whole journey will have the average speed of 72.5 km/h.

Learn more about average speed here:

brainly.com/question/30218213

#SPJ1


Related Questions

The value in the table below represents Function B, which is a linear function
Function L is represented by the equation y = 6x + 4.
Part A
Answer
X
-3
-1
1
3
By comparing Function B and Function L, which has the greater rate of chan
Show your work.
Part B
Determine which function has the greater y-intercept.
Show your work.
Answer
y
-7
-1
5
11
Part C
Explain why both of your answers above are correct.

Answers

Part A: By comparing B and L, L has greater rate of change.

Part B: By comparing B and L, B has greater y-intercept.

This can be solved using the concept of equation of function.

What is functions?

Function is a mathematical phrase, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable). A function is described as a relationship between a group of inputs and one output each. In simple terms, a function is a connection between inputs, with each input corresponding to exactly one output. Every function has its own domain and codomain, as well as a range. f(x), where x is the input, is a common way to refer to a function.

Part B:

Let, the equation of function B is,

Y = mx+c

Where m is slope and C is intercept

At (-3,-7)

-7 = -3m+c

C = 3m-7

At (-1,-1)

-1 = -m+3m-7

-1 = 2m -7

2m = 6

m = 3

C = 3m-7

C = 3×3 - 7

C =2

So, equation of line B is

Y = mx+c

Y = 3x+2

Where intercept is 2, note y intercept can also be found by putting x = 0, slope = 3

Part A:

Rate of change is slope for B can also be found by -1-(-7)/-1-(-3)=6/2=3

For equation L.

Y=6x+4

Slope=6, intercept =4

For L: when x=0, y=4,x=1,y=10

Rate of change=slope=(10 - 4)/ (1 - 0)=6

Line            Equation              Rate of change(slope(m)      Y intercept (c)

B                    y = 3x+2                      3                                         2

L                     y = 6x- 4                     6                                         - 4

To know more about function refer to:

brainly.com/question/10439235

#SPJ1

A paperweight, the shape of a hemisphere, fits snugly inside a cylinder-shaped box with a radius of 9 cm. A cone fits snugly inside the paperweight hemisphere.

What is the volume of the cylinder in terms of
? Show all work.
What is the volume of the cone in terms of
? Show all work.
Estimate the volume of the hemisphere in terms of
by calculating the average of the volumes of the cylinder and cone. Show all work.

Answers

The volume of the cylinder is 162πx, the volume of the cone (1/3)πx^3 and the volume of the hemisphere is (162πx + (1/3)πx^3)/2

Volume of the cylinder:

The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius and h is the height of the cylinder.

In this case, the height of the cylinder is equal to the diameter of the paperweight hemisphere, which is twice the radius of the cone.

Let's call the radius of the cone "x". The diameter of the paperweight hemisphere is equal to 2x, so the height of the cylinder is equal to 2x. The radius of the cylinder is 9 cm, so we can calculate the volume of the cylinder as follows:

V = πr^2h = π * 9^2 * 2x = 162πx

Volume of the cone:

The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius and h is the height of the cone. In this case, the height of the cone is equal to the radius of the cone, so we can calculate the volume of the cone as follows:

V = (1/3)πr^2h = (1/3)π * x^2 * x = (1/3)πx^3

Volume of the hemisphere:

The volume of a hemisphere can be calculated using the formula V = (2/3)πr^3, where r is the radius of the hemisphere. To estimate the volume of the hemisphere, we can calculate the average of the volumes of the cylinder and cone.

V_hemisphere = (V_cylinder + V_cone)/2 = (162πx + (1/3)πx^3)/2

This expression represents the estimated volume of the hemisphere in terms of x, the radius of the cone.

For such more question on Volume

https://brainly.com/question/463363

#SPJ4

A balloon archway has been ordered for decorating high school gym for a 1950 style prom. The archway will contain 275 balloons each holding 1. 2 liters of helium. Each balloon has a mass of 27 milligrams when empty and all the string and fixings that hold the balloons together total 45 grams. If helium has a density of 0. 1785 grams per liter , what is the mass of the entire archway

Answers

We could calculate the weight of individual balloons from given density and empty mass. From that calculate the total weight of balloons and added to the weight of fixings. So the weight of archway becomes 111.33g.

Volume of helium each balloon is holding = 1.2L

Density of helium = 0.1785

Density = mass/volume

Mass = density/volume

So mass of helium in each balloon = 1.2×0.1785 = 0.2142 g =  214.2 mg

Mass of empty balloon = 27 mg

So the total mass of a balloon after filled with helium = 214.2 + 27 = 241.2 mg

Mass of 275 such balloons = Mass of 1 balloon × 275

                                             = 241.2 ×275 = 66330 mg = 66.33 g

Mass of all strings and fixings = 45 g

Total mass of archway = mass of 275 balloons + mass of fixings and strings = 66.33 + 45 = 111.33 g

For more information regarding mass, volume and density, kindly refer

https://brainly.com/question/18354236

#SPJ4

If the volume of the cylinder is represented by 5x² +
15x + 2 and the height is 5x, which expression
represents the area of the base?

Answers

Answer:

its A. x² + 3x + 2/5x because it's the right answer

giving 50 points and brainliest to the best correct answer. thanks.

Answers

METHOD 1
evidence of substituting into b =
correct substitution
2π (M1) period
e.g. period = 30 minutes, b = 2π A1
30
b=0.209(π ) A1 N2 15
substituting into h(t) (M1) e.g. h(0) = 1 , h(15) = 101 correct substitution A1 1=50sin(−π c)+51
METHOD 2
15 c=7.5 A1 N2
evidence of setting up a system of equations (M1)
two correct equations e.g.1=50sinb(0−c)+51,101=50sinb(15−c)+51 A1A1 attempt to solve simultaneously (M1)
e.g. evidence of combining two equations b=0.209(π ),c=7.5 A1A1 N2N2

evidence of recognizing the amplitude is the radius (M1)
e.g. amplitude is half the diameter
a=8 A1 2
a=4 AG N0
METHOD 2
evidence of recognizing the maximum height (M1) e.g. h = 6 , a sin bt + 2 = 6
correct reasoning
e.g. asinbt = 4 and sinbt has amplitude of 1 A1 a=4 AG N0

valid reasoning for their conclusion (seen anywhere) R1
e.g. h(t) < 0 so underwater; h(t) > 0 so not underwater
evidence of substituting into h (M1)
e.g. h(19.4) , 4 sin 19.4π + 2 15
correct calculation A1
e.g. h(19.4) = −1.19
correct statement A1 N0 e.g. the bucket is underwater, yes METHOD 2
valid reasoning for their conclusion (seen anywhere) R1 e.g. h(t) < 0 so underwater; h(t) > 0 so not underwater evidence of valid approach (M1)
e.g. solving h(t) = 0 , graph showing region below x-axis correct roots A1
e.g. 17.5, 27.5
correct statement A1 N0 e.g. the bucket is underwater, yes

I need to know what is the distance between the points

Answers

Answer:9

Step-by-step explanation:

add

correlation is to as experimentation is to . a. single variables; multiple variables b. unobtrusiveness; correlation c. measurement of variables; manipulation of variables d. manipulation of variables; measurement of variables

Answers

Correlation is to "measurement of variables", as experimentation is to "manipulation of variables".

Correlation refers to the statistical relationship between two or more variables, where changes in one variable are related to changes in the other variable(s). It measures the strength and direction of the relationship, but it does not establish cause and effect.

Experimentation, on the other hand, involves the manipulation of variables to determine the cause-and-effect relationship between variables. The experimenter changes the independent variable and measures the effect it has on the dependent variable.

This method allows the experimenter to establish cause and effect and to control extraneous variables that might interfere with the relationship between the independent and dependent variables.

Therefore, the correct answer is D.

To know more about Correlation, here

https://brainly.com/question/12131966

#SPJ4

--The given question is incomplete; the complete question is

"Correlation is to___as experimentation is to___.

A. manipulation of variables; measurement of variables

B. unobtrusiveness: correlation

C. single variables; multiple variables

D. measurement of variables; manipulation of variables"--

Please hurry
Choose the best method for solving
and solve. Show your work.
y=x-7
y=x+7

Answers

The system of equations has no solution

How to determine the solution

From the question, we have the following parameters that can be used in our computation:

y = x - 7

y = x + 7

By substituting the first equation in the second equation

So, we have the following representation

x + 7 = x - 7

Evaluate the like terms

7 = -7

The above equation is false

Hence, the system has no solution

Readm ore about equations at

https://brainly.com/question/2972832

#SPJ1

9. Triangle LMN with vertices L(-7, 4), M(-3, 0),
and N(-8, 1):
(a) Translation: (x,y) → (x + 5, y-6)
(b) Reflection: in the line y=-x
L’
М'
N'
10

Answers

The transformation of the vertices of the triangle is a. L' = (-7 + 5, 4 - 6) = (-2, -2), M' = (-3 + 5, 0 - 6) = (2, -6), N' = (-8 + 5, 1 - 6) = (-3, -5). b. L' = (-7, 4) = (-4, 7), M' = (-3, 0) = (0, 3), and N' = (-8, 1) = (-1, 8).

What are transformations?

The transformation, or f: X X, is the name given to a function, f, that maps to itself. After the transformation, the pre-image X becomes the picture X. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation.

The vertices of the triangle are L (-7, 4), M(-3, 0) and N(-8, 1).

a. Translation: (x,y) → (x + 5, y-6) is as follows:

L' = (-7 + 5, 4 - 6) = (-2, -2)

M' = (-3 + 5, 0 - 6) = (2, -6)

N' = (-8 + 5, 1 - 6) = (-3, -5)

b. Reflection in line y = -x is as follows:

Here, the value of y coordinate is negative x coordinate and x coordinate is negative y coordinate.

L' = (-7, 4) = (-4, 7)

M' = (-3, 0) = (0, 3)

N' = (-8, 1) = (-1, 8)

Hence, the transformation of the vertices of the triangle is a. L' = (-7 + 5, 4 - 6) = (-2, -2), M' = (-3 + 5, 0 - 6) = (2, -6), N' = (-8 + 5, 1 - 6) = (-3, -5). b. L' = (-7, 4) = (-4, 7), M' = (-3, 0) = (0, 3), and N' = (-8, 1) = (-1, 8).

Learn more about transformation here:

https://brainly.com/question/11709244

#SPJ1

15 more than twice a number is 37. What is the number??

Answers

Answer:

11

Step-by-step explanation:

lets suppose the number is x

twice the number would be 2x and 15 more than that will be

2x + 15

and this is equal to 37

2x + 15 = 37

2x = 37 - 15

2x = 22

x = 22/2

x = 11

It’s 11.. the guy above me is right. All I know is that it’s 11.

The show johnny want to binge is 61 episodes long, it takes him 5 hours to complete 12 episodes, and 10 hours to complete 24 episodes. If johnny were to watch 12 episodes a day, how many days would it take johnny to finish the show?

Answers

Answer:

6 days

Step-by-step explanation:

This is an easy problem if you think about it. Let’s start by identifying unnecessary information. I’ll go ahead and point this out: we don’t need to know how long it takes Johnny to watch the episodes. The question already says he’s only watching 12 episodes per day, so the time information is useless. If you rewrite the problem with only message information, you get something like this:

“The show Johnny wants to binge watch is 61 episodes long. If Johnny were to watch 12 episodes a day, how many days would it take him to finish the show?”

That makes it seem so much easier! Let’s start by dividing the show into sets of 12 episodes. 61 divided by 12 is 5 R1. Since he needs another day to finish the show, even if he only watches one episode, the answer is 6 days.

How does g(x)=8x change over the interval from x=3 to x=5?

Answers

The function g(x) = 8x is increasing over the interval from x=3 to x=5.

The graph of the function g(x) = 8x is shown below.

We can observe that the graph of g(x) is a staright line passing through origin (0, 0)

This means that the function g(x) is a linear function.

For x = 3, the value of function would be,

g(3) = 8 × (3)

g(3) = 24

And for input value x = 5, the value of function would be,

g(5) = 8 × (5)

g(5) = 40

This means that the value of function g(x) increases from x = 3 to x = 5

Also, from the graph the function g(x) is increasing over the interval [3, 5]

Learn more about the function here:

https://brainly.com/question/28193994

#SPJ4

PLEASE ME WITH MY MATH THE QUESTION IS IN THE PICTURE

Answers

The discriminant is the expression b2 - 4ac for the quadratic equation ax2 + bx + c = 0. The discriminant's value reveals how many roots f(x) has: - The quadratic function has two unique real roots if b2 - 4ac > 0, otherwise it does not. The quadratic function has one repeating real root if b2 - 4ac = 0.

What are the quadratic equation's roots' sum and product?

A quadratic equation's roots are equal to the second term's coefficient negated, divided by the leading coefficient. The constant term (the third term), divided by the leading coefficient, is equivalent to the product of the roots of a quadratic equation.

What is the Product Rule Simplified?

According to the Product Rule, the derivative of a product of two functions is equal to the product of the first function times the second function's derivative plus the second function times the first function's derivative.

To know more about quadratic visit:-

brainly.com/question/21685473

#SPJ1

Which expressions are equivalent to t(-7.4s+3.8-4.5)-t? Select all that apply.
-7.4st-1.7t
t(-3.6s-4.5)-t
t(3.8s-7.4-4.5)+10.2t
t(-7.4s-0.7)-t
t(7.4s+3.8)-5.5t

Answers

The equivalent expressions to t(-7.4s+3.8-4.5)-t are:

-7.4st-1.7tt(-3.6s-4.5)-tt(7.4s+3.8)-5.5t

What are the equivalent expression?

This expression can be simplified as follows:

t(-7.4s + 3.8 - 4.5) - t

= t(-7.4s - 0.7) - t

= -7.4st - 1.7t.

t(-7.4s+3.8-4.5)-t

= t(-3.6s-4.5)-t

-7.4s + 3.8 - 4.5t - t

= t(7.4s+3.8)-5.5t

Therefore the correct options are A, B, E.

Learn more about expression here:https://brainly.com/question/1859113

#SPJ1

what are the beat numbers

Answers

The musical frequency of notes is decreasing between beat number 6 and 7.

What is beat frequency?

Beats refer to the periodic variations in the loudness of a sound resulting from the interference between two waves of slightly different frequencies. When two waves of different frequencies overlap, they create an interference pattern that results in a waveform that varies in amplitude (loudness) over time. The resulting pattern of loud and soft sounds is known as beats.

The musical note frequency is in the given question is measured in Hz and it started decreasing from a frequency of 444 Hz to frequency of 392 Hz.

Learn more about beat frequency here: https://brainly.com/question/3086912

#SPJ1

Fill in the answers on the right
Long's Coffee Shop sells a refill mug for $8. 95. Each refill costs $1. 50. Last month, Jalissa spent $26. 95 on a mug and refills. How many refills did she buy?
constant:
Rate:
Equation:
Solve:​

Answers

Constant: Mug price = $8.95, Refill price = $1.50, Rate: Refill rate = $1.50, Equation: 8.95 + 1.50x = 26.95, Solve: x = 15 refills​. Jalissa purchased 15 refills last month, paying $26.95 for the mug and refills combined.

To calculate the number of refills Jalissa purchased last month, we must first define the constants of the equation. The cost of the mug is $8.95 and the cost of the refill is $1.50. After establishing these constants, we can create an equation using the rate of refills ($1.50) and the total amount that Jalissa spent ($26.95). The equation is 8.95 + 1.50x = 26.95. This equation can then be solved to find the value of x, which is the number of refills Jalissa purchased. To solve the equation, subtract 8.95 from both sides to get 1.50x = 18. This equation can then be divided by 1.50 to find the value of x, which is 15. This means that Jalissa purchased 15 refills last month, paying $26.95 for the mug and refills combined.

Learn more about equation here

https://brainly.com/question/2228446

#SPJ4

1. Two points on k are (-4, 3) and (2, -1). Write a ratio expressing the slope of k​

Answers

Answer: The slope of a line can be found using the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line. Plugging in the given points, we get:

slope = (-1 - 3) / (2 - (-4)) = -4 / 6 = -2/3

So the ratio expressing the slope of line k is -2/3.

Step-by-step explanation:

The sum of three consecutive natural numbers is 1197, find the numbers.
The three numbers in increasing order are

Answers

Answer: 398 + 399 + 400 equals 1197 

Step-by-step explanation: The sum of three consecutive natural numbers is 1197, find the numbers X) + (X + 1) + (X + 2) = 1197 To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:X + X + 1 + X + 2 = 11973X + 3 = 11973X + 3 - 3 = 1197 - 33X = 11943X/3 = 1194/3X = 398Which means that the first number is 398, the second number is 398 + 1 and the third number is 398 + 2. Therefore, three consecutive integers that add up to 1197 are 398, 399, and 400. 

please help!! for 20 points

Answers

The solution is given below.

What is transformation?

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have,

the reflection is with respect to y=x line,

so, the transformation will be,

(x,y)⇒(y,x)

so, we get,

X = (-3,8 ) ⇒ X' = (8,-3)

Y(2,5)⇒Y(5,2)

Z(-4,-1)⇒Z'(-1,-4)

To learn more on transformation click:

brainly.com/question/20211457

#SPJ1

In a cookie jar, 1/5 of the cookies are chocolate chip and 1/2 of the rest are peanut butter. what fraction of all the cookies are peanut butter?

Answers

Answer: 3/10

Step-by-step explanation: Convert given fractions into like terms. In this case 1/5 becomes 2/10 and 1/2 becomes 5/10. Add them up and you get 7/10. Subtract from the total of 10/10 and the result is 3/10. Since the final fraction can't be simplified, this is the final answer.

Cindy is making a paste. For every 1 1/8 cups of water she uses 2 5/8 of flour. How much flour does Cindy need for each cup of flour?

Answers

Answer:

0.43 cup of water

Step-by-step explanation:

We know

For every 1 1/8 cups of water, she uses 2 5/8 of flour.

1 1/8 = 9/8 = 1.125

2 5/8 = 21/8 = 2.625

How much water does Cindy need for each cup of flour?

1.125 divided by 2.625 = 0.43 cup of water

So, Cindy needs 0.43 cup of eater for each cup of flour

PLEASE HELP

I finished the first one but this website called edmentum /PLATO cant explain very well.

Answers

Step-by-step explanation:

It may be your last point

[tex]y = 2x + 6[/tex]

[tex]y = 2(2) + 6 = 10 \: not \: 8[/tex]

You have the point (2,8) when it should be (1,8)

Keep me updated

Can you guy solve it please

Answers

The area of the triangle in the diagram is one square foot.

How to find the area of the triangle?

We know that the area of a triangle of base B and height H is given by the formula:

Area = B*H/2

On the diagram we can se that the measure of the base is 3 ft, and the height is 2/3 ft, then the area of that triangle will be:

Area = (3 ft)*(2/3 ft)/2 = 1 ft²

The area of the triangle is one square foot.

Learn more about triangles at:

https://brainly.com/question/2217700

#SPJ1

Help me urgentt 16 pointsssss

Answers

Answer:

Step-by-step explanation:

Sorry did you already finish?

1. B. 2/3 = 8/12 b/c 2x4 = 8 and 3x4 = 12

2. D. 5/6 = 10/12 b/c 5x2 = 10 and 6x2 = 12

3. 2

4. A. simplified is 2/3 C. self-explanatory D. simplified is 3/4

A salesman earns 6% commission on all the merchandise that he sells. Last month he sold $6000 worth of merchandise. How much

Answers

The commission he earned last month was amount of $360.

What is the commission?

The commission is determined by the product of the commission rate and the total sales.

A salesman receives a 6% commission on all merchandise sold.

He sold $6000 in merchandise last month.

Salesman earns 6% = 6/100 = 0.06

Now, we have to evaluate 6% of $6000

= 0.06 x 6000

Apply the multiplication operation, and we get

= 360$

Thus, the commission he earned last month was the amount of $360.

To learn more about the commission click here:

https://brainly.com/question/20987196

#SPJ1

The question seems incomplete, the complete question would be as:

A salesman earns 6% commission on all the merchandise that he sells. Last month he sold $6000 worth of merchandise. How much commission (in dollars) did he earn last month?

Solve the equation round the result to the nearest hundredth 13.7t-4.7=9.9+8.1t

Answers

Answer:

t ≈ 2.61

Step-by-step explanation:

13.7t - 4.7 = 9.9 + 8.1t ( subtract 8.1t from both sides )

5.6t - 4.7 = 9.9 ( add 4.7 to both sides )

5.6t = 14.6 ( divide both sides by 5.6 )

t ≈ 2.61 ( to the nearest hundredth )

2. Use the linear combination method to solve the system of equations. Explain each step of your solution.
2x – 3y = 13
3x + y = -8

Answers

To use the linear combination method to solve the system of equations:

2x – 3y = 13

3x + y = -8

We can multiply the second equation by 3 to get:

9x + 3y = -24

Now we can add this equation to the first equation to eliminate the y term:

2x – 3y + 9x + 3y = 13 - 24

Simplifying the left-hand side and the right-hand side of the equation:

11x = -11

Finally, we can solve for x:

x = -1

Substitute x = -1 in either of the original equations:

2x – 3y = 13

2(-1) - 3y = 13

-2 - 3y = 13

-3y = 15

y = -5

Therefore, the solution to the system of equations is x = -1 and y = -5.

Explanation: We used the linear combination method to eliminate one of the variables by adding the two equations together. Then, we solved for the remaining variable and substituted the value back into one of the original equations to solve for the other variable.

I need help on this,
what's the vertex form of 8-2x=3(y+1)^2?

Answers

Answer:

The vertex form of 8-2x=3(y+1)^2 is: y= -1/6x^2 + 4x - 8.

Step-by-step explanation:

Answer:

Step-by-step explanation:

D(-5, -6), E(5,2), F(4, -4), G(-6, -12) (Distance & Slope Formulas)

Answers

The distance between D(-5, -6) and E(5,2) is 12.8, and the slope is 0.8. The distance between E(5,2) and F(4, -4) is 6.08, and the slope is 6. The distance between F(4, -4) and G(-6, -12) is 12.8, and the slope is 0.8.

Distance Formula:

The distance between two points A(x1, y1) and B(x2, y2) is calculated using the following formula:

d = √((x2-x1)² + (y2-y1)²)

Slope Formula:

The slope of the line between two points A(x1, y1) and B(x2, y2) is calculated using the following formula:

m = (y2-y1)/(x2-x1)

Distance between D(-5, -6) and E(5,2):

d = √((5-(-5))² + (2-(-6))²)

d = √((10)² + (8)²)

d = √(100 + 64)

d = √164

d = 12.8

Slope between D(-5, -6) and E(5,2):

m = (2-(-6))/(5-(-5))

m = (8)/(10)

m = 0.8

Distance between E(5,2) and F(4, -4):

d = √((4-5)² + (-4-2)²)

d = √((-1)² + (-6)²)

d = √(1 + 36)

d = √37

d = 6.08

Slope between E(5,2) and F(4, -4):

m = (-4-2)/(4-5)

m = (-6)/(-1)

m = 6

Distance between F(4, -4) and G(-6, -12):

d = √((-6-4)² + (-12-(-4))²)

d = √((-10)² + (-8)²)

d = √(100 + 64) …

d = √164

d = 12.8

Slope between F(4, -4) and G(-6, -12):

m = (-12-(-4))/(-6-4)

m = (-8)/(-10)

m = 0.8

To learn more about Slope visit:

https://brainly.com/question/3493733

#SPJ4

The slope is 0.8 and the distance between D(-5, -6) and E(5,2) is 12.8.

The slope is 6 and the distance between E(5,2) and F(4, -4) is 6.08.

The slope is 0.8 and the distance between F(4, -4) and G(6, -12) is 12.8.

The formula for Distance:

The following formula is used to determine the distance that separates points A (x1, y1) and B (x2, y2) from one another:

d = √((x2-x1)² + (y2-y1)²)

Slope Method:

The following formula can be used to determine the slope of the line that connects the two points A (x1, y1) and B (x2, y2):

m = (y2-y1)/(x2-x1)

The distance that separates D(-5, -6) from E(5,2):

d = √((5-(-5))² + (2-(-6))²)

d = √((10)² + (8)²)

d = √(100 + 64)

d = √164

d = 12.8

Slope from D(-5, -6) to E(5,2):

m = (2-(-6))/(5-(-5))

m = (8)/(10)

m = 0.8

Between E(5, 2) and F(4, -4):

d = √((4-5)² + (-4-2)²)

d = √((-1)² + (-6)²)

d = √(1 + 36)

d = √37

d = 6.08

Slope between E(5,2) and F(4, -4):

m = (-4-2)/(4-5)

m = (-6)/(-1)

m = 6

Distance between F(4, -4) and G(-6, -12):

d = √((-6-4)² + (-12-(-4))²)

d = √((-10)² + (-8)²)

d = √(100 + 64) …

d = √164

d = 12.8

Slope between F(4, -4) and G(-6, -12):

m = (-12-(-4))/(-6-4)

m = (-8)/(-10)

m = 0.8

Learn more about Slope :

brainly.com/question/3493733

#SPJ4

You have been hired to design the next Desla Electric Advertisement. Use your work from today to create a persuasive and accurate advertisement. Include any additional information that you think is important when buying a vehicle.

Answers

Kweku would save $180 in a year buying electricity for the Desla electric compared to buying gas for the Deswagon.

To make up for the higher sale price,

it will take him more than 66 years.

And hybrid cars save money in the long term.

What is an equation?

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

Given:

Deselectric costs $11900 more than the Deswagon.

Unit cost:

Deselectric: $0.11 per mile.

Deswagon: $0.12 per mile.

Kweku drives about 18,000 miles a year.

That means

the cost for each car;

Deselectric: 18000 x 0.11 = $1980

Deswagon: 18000 x 0.12 = $2160

The more cost is,

= $2160 - $1980

= $180 of savings in a year.

Now, the make-up for the higher sale price,

= 11900/180

= 66.11 in years.

And hybrid cars save money in the long term.

Therefore, it will take him more than 66 years.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ1

Other Questions
which of the following is correct? question 3 options: a decrease in the productivity of labor leads to economic growth. an increase in the quantity of labor always leads to economic growth. increased education adds to the stock of human capital. third world countries are rich in human capital. What was life like for a hunter-gatherer What are five specific rights FDR said the ND provided? write molecular formula of sodium Ferrocyanide A legislative assembly made up of the House of Commons and the House of Lords 2. In chapter 5 Clerval proves himself to be a faithful friend to Victor. Recall two specific ways he shows friendship and how Victor reacts to these actions. Bring in textual support with MLA citation for both examples. Clerval's actions Victor's reaction Textual evidence 1 the nurse is providing care to a school-age client who is overweight. which nursing action is appropriate to enhance the client's intake of healthy food choices? in the modern world, many countries of kings and queens have enolved into constitutional democraccies in the countries Monarch are mostly will give brainliest. A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.Ice Cream Candy Cake Pie Cookies81 9 72 36 27Which statement is the best prediction about the slices of pie the college will need? A. The college will have about 480 students who prefer pie. B. The college will have about 640 students who prefer pie. C. The college will have about 1,280 students who prefer pie. D. The college will have about 1,440 students who prefer pie. thankssss so much which of the following natural processes would have to occur for water in the oceans to become fresh water available for human use?A) evaporation and precipitationB) transpiration, purification, and precipitationC) precipitation and infiltrationD) evaporation and infiltration the mean radius of the earth is 6.37 x 10^6 meters, while the mean radius of the moon is 1.74 x 10^6 meters. approximately how many times larger is the diameter of the earth than the diameter of the moon? Una bomba llena un tinaco en 16 minutos si el Tina cmo conservar 3/8 de su capacidad en cuntos minutos llenar completamente Es para hoy Which of the following is a sentence fragment?A. Realizing you are getting older is sobering.B. knowing he would be late, she took a nap.C. checking his mail each day was always fun.D. hiding in the tree fort he had built as a kid. When describing the differences between public health nursing and nursing in general, which of the following would an instructor include as characteristic of public health nursing? Select all that apply.A)Acute care servicesB)Focus on the greater goodC)Seek out of clients in needD)Community commitmentE)Health restoration As long as an object is not gaining or losing mass, a constant force applied to an object for a period of time will result in a change ina) direction.b) speed.c) weight.d) velocity.e) acceleration. The driver of a car moving with a uniform speed of 40m/s observes a truck approachingin the opposite direction with a speed of 20m/s.Calculate the speed of the car relative to that of the truck. what famous american filed the first patent on a process using strips of clear plastic photos and film? Which sentence shows the correct use of the common homophone (its/it's)?My dog was unable to relocate its buried bone.Our old oak tree has dropped all of its leaves.The overplayed song has lost its appeal for me.Its been too many weeks since it last rained. Which is a warning sign that someone needs the help of a mental health professional