Calculate the distance between the points G=(-9, 8) and C=(-1, 1) in the coordinate plane.
Give an exact answer (not a decimal approximation).

Answers

Answer 1

Answer:

10.63

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

01(x2-x1) = (-1 - -9) = 8

(y2-y1) = (1 - 8) = -7

Square the results and sum them up:

(8)2 + (-7)2 = 64 + 49 = 113

Now Find the square root and that's your result:

Exact solution: √113 = √113

Approximate solution: 10.6301


Related Questions

What is the value of the expression shown below, when p= 1 and q= 4

Answers

Answer:

The correct answer is 5.

Step-by-step explanation:

I got 100% on the assignment

This graph represents the design of a child’s slide what is the slope of the slide

Answers

Answer:

I think it is 1/2 because it goes up 1 over 2

A group of students are working on a project. They complete 30%percent of the project in 12 hours. If they continue to work at the same speed, how many hours will it take the group to finish the project

Answers

Answer: 40 HOURS

Step-by-step explanation:

If the students complete 30% of the project in 12 hours,

that means:

12 h................................30%

? h...................................100%

(12*100)/30= 40H

THE STUDENTS NEED 40H TO COMPLETE THE PROJECT

It will take 40 hours for the group to finish the project.

How many hours will it take the group to finish the project?

If the students complete 30% of the project in 12 hours,

that means:

⇒ 12 h = 30%

⇒ ? h = 100%

By using percentage theory:

Percentage formula = (Value/Total value) × 100.

⇒ (12*100)/30= 40H

The answer is 40 hours.

What are a percentage and its formula?

To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100. Percentage formula = (Value/Total value) × 100.

Learn more about percentage here: brainly.com/question/843074

#SPJ2

is y = 2/3x - 7 proportional or not?

Answers

Answer: No, it is not a direct proportion equation

Explanation:

Direct proportions are always in the form [tex]y = kx[/tex] where k is any nonzero real number. So for example, we could have the equation [tex]y = 9x[/tex]. The y intercept of any direct proportion is always zero. Visually, such equations will go through the origin.

Something like [tex]y = \frac{2}{3}x-7[/tex] has a y intercept of -7 and it doesn't fit the form [tex]y = kx[/tex], so it's not a direct proportion equation.

The following shapes are congruent. Write the correct congruence statement for shape MJZP.

A. BLXY

B. LXYB

C. XYBL

D. YBLX

Answers

Answer:

B. LXYB.

Step-by-step explanation:

Write a function rule for "The output is three times the input increased by two

A) y=5x
B) y=3x+2
C) y=3x - 2
D) y=2x+3

Answers

X is the input.

Three times the input would be 3x

Increased by two would be adding two at the end.

Answer: B. y = 3x + 2

The value of y varies directly with x.
When y=3, x=1.
What is the value of y when x is 4?
12
3/4
4 1/3
8

Answers

Answer:

12

Step-by-step explanation:

x = 1 y = 3, x = 2 y = 6, x = 3 y = 9, x = 4 y = 12

Answer:

12

Step-by-step explanation:

if x=1 , y =3

if x=4 then y=3×4=12

y=12

Apple + Orange = $20
Apple is twice the price of the orange
How much does the apple cost?

Answers

Answer:

Step-by-step explanation:

let price of Orange=x

price of Apple=2x

x+2x=20

3x=20

x=20/3

cost of Apple=2x=2×20/3=40/3=$13 1/3

Let Apple be 2x and y
According to question,
x + 2x = 20
3x = 20
x = 20/3
x = 6.6667
2x = 2 x 6.667 = 13.33

A triangle has interior measures of 45° and 50°. What is the measure of the third angle?
950
850
90°
50

Answers

Answer:

85 degrees

Step-by-step explanation:

the inside of a triangle is always 180 degrees.

180-45-59=85

Use the linear combination method to solve the system of equations PLZ HELP I WILL GIVE BRAINLIEST AND ITS WORTH A LOT OF POINTS, PLZZZZZZZZZZZZZZZZ
2x-3y=13
2x+4y=-8

Answers

2x-3y=13...(1)
2x+4y=-8...(2)

Multiply equation 2 by -1 to eliminate x

2x-3y=13
+ -2x-4y=8
—————
-7y=21
y=-3
Substitute y=-3 into equation 2
2x+4(-3)=-8
x=2

Therefore, the solution to the system is (2, -3)

The population of a pigeons in a city is 100 and is growing exponentially at 20% per year. Write a function to represent the population of pigeons after
t
t years, where the monthly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per month, to the nearest hundredth of a percent

Answers

Answer:

p(t) = 100×1.0153^(12t)1.53% per month

Step-by-step explanation:

In general, the function will be written ...

  p(t) = (initial value)×(growth factor)^t

where t is in units comparable to those applicable to the growth factor. The growth factor is found from ...

  growth factor = 1 + growth rate

Here, the growth rate is given as 20% per year, so the growth factor per year is ...

  1 +20% = 1.20

The initial value is given as 100, so we can write the exponential function as ...

  p(t) = 100×1.20^t

__

The time period units for t are supposed to be years, but we want to find the growth rate for a month. We can do that by recognizing there are 12 months in a year. In the above equation, we can use (1/12)(12t) in place of t, then figure the growth factor (and growth rate) per month.

  p(t) = 100×(1.20^(1/12))^( 12t)

  p(t) = 100×1.0153^(12t) . . . . population exponential function

This shows the monthly growth factor is 1.0153, so the monthly rate of change (growth rate) is ...

  1.0153 -1 = 0.0153 = 1.53% . . . . monthly rate of change

Answers:

Function is [tex]P(t) = 100(1.0153)^{12t}\\\\[/tex]Monthly growth rate is roughly 1.53%

=====================================================

Explanation:

The population starts at 100 pigeons. After a year, the population goes up by 20%, meaning the population goes up by 20. It lands on 120 after a full year (100+20 = 120).

Dividing the "before" and "after" population amounts gets us 120/100 = 1.20

If we didn't worry about the monthly rate, and only cared about the annual rate of growth, then the population function would be

[tex]P(t) = 100(1.20)^t[/tex]

where t is the number of years and P(t) is the population for that year number. Notice how the 1.20 is the base of the exponential to quickly tell the reader the annual rate of growth. We read off the .20 portion and that converts to 20% after moving the decimal 2 spots to the right.

If we were to plug t = 0 into that function, then we'd get P(0) = 100. Inputting t = 1 leads to P(1) = 120. This helps confirm we have the correct annual growth rate function.

---------------------

Unfortunately, your teacher doesn't want the annual growth rate function. Instead, they want you to write a function where the reader can easily pick out the monthly rate of change without having to do any math. This is due to the instructions that "the monthly rate of change can be found from a constant in the function". Let m be this constant.

Since t is the number of years, this means t = 1/12 represents 1/12 of a year, aka 1 month. If you were to compute P(1/12), then you should get roughly 101.530947049973

Divide this amount over the initial population to find m.

m = 101.530947049973/100 = 1.01530947049973

So we get m = 1.0153 after rounding to four decimal places.

The number m is in the form 1+x. Solving 1+x = m will lead to x = 0.0153 to indicate a monthly rate of change is roughly 1.53% since we move the decimal point 2 spots to the right to go from 0.0153 to 1.53%

The pigeon population is increasing by roughly 1.53% each month.

This is why computing this m value leads to the reader able to spot the monthly rate of change without having to resort to a calculator. All they have to do is read the digits to the right of the decimal point and convert that to percentage form.

---------------------

An alternative way to compute this value is to use this formula

m = (1+r)^(1/12)

We'll plug in the annual rate r = 0.20 to get:

m = (1+r)^(1/12)

m = (1+0.20)^(1/12)

m = 1.01530947049973

m = 1.0153

We get the same approximate value as earlier.

---------------------

Whichever method you use, you should get roughly m = 1.0153

We're given that A = 100 is the initial population

So we'll then be able to form this function

[tex]P(t) = A*(m)^{12t}\\\\P(t) = 100(1.0153)^{12t}\\\\[/tex]

This represents the monthly growth of the population where t is in years. Note that after something like t = 3 years, we have 12t = 12*3 = 36 months pass by. So that's why the 12t is in the exponent rather than simply t.

Once again, for comparison we have...

[tex]P(t) = 100(1.20)^{t}\\\\[/tex] for annual growth[tex]P(t) = 100(1.0153)^{12t}\\\\[/tex] for monthly growth

Each function has t represent the number of years. The difference is the base of each exponential to tell us the respective annual or monthly growth rate. Also, the exponent up top must be adjusted depending on which you go for.

---------------------

You may be wondering: "what if the exponent in the monthly growth rate function wasn't 12t?". Let's find out. We'll assume the monthly growth rate function is [tex]P(t) = 100(1.0153)^{t}\\\\[/tex] and show that an error happens.

If we plugged in something like t = 1, we should get P(t) = 120 like mentioned earlier.

[tex]P(t) = 100(1.0153)^{t}\\\\P(1) = 100(1.0153)^{1}\\\\P(1) = 100(1.0153)\\\\P(1) = 101.53\\\\[/tex]

That value of 101.53 is the approximate population number after 1 month, rather than 1 year. Making the exponent 12t will fix the issue.

Please solve this...I can;t do it do it

Answers

Answer:

Area = 867 meters

Step-by-step explanation:

You have a rectangle. This means opposite sides are equal. If you set these expressions equal to each other, you will get two equations with two unknowns, x and y. Next, solve the system of equations to find x and y. Then, use the values to find the length and width of the rectangle. Last, multiply length × width to find the area.

Calculate the distance between the points M=(-1,-2) and C=(-9, 2) in the coordinate plane.
Round your answer to the nearest hundredth.

Answers

Answer:

8.9443

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.9443

Unit Rate
Madison can eat 12 eggs in 20 minutes. How many
eggs can she eat in 35 minutes?

Answers

Answer:

37

Step-by-step explanation:

38 + u actually thought lol

Angelique Calculated the slope of a line that passed through points (-5,4) and (2,-3) her work is shown below. identify her error and correct her mistakes.

Answers

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, 4 ) and (x₂, y₂ ) = (2, - 3 )

m = [tex]\frac{-3-4}{2-(-5)}[/tex]

Her error was subtracting 5 from 2 instead of - 5 from 2

m = [tex]\frac{-7}{2+5}[/tex] = [tex]\frac{-7}{7}[/tex] = - 1 ← corrected solution

What’s the figure name

Answers

Answer:

Line GH or Line HG

Step-by-step explanation:

Hope it help !!

Answer:

line segment

Step-by-step explanation:

a point to a point which makes a straight line is called a line segment

deposited ​$7,500 into a savings account 5 years ago. The simple interest rate is 2​%. How much money did earn in​ interest?

Answers

Answer:

$750

Step-by-step explanation:

simple interest equation is:

I (interest) = P (principal) x R (interest rate, as a decimal) x T (time, in years)

I = 7500 x .02 x 5

I = 750

please help me with this

Answers

MN= 9.1 cm
LM= 9.9 cm

.this is all the question ​

Answers

Answer:

Answer: 2

Step-by-step explanation:

Someone please help me

Answers

the answer for this question is -3

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeee ty :)

Answers

Answer:Our equation is y = 2x/3 - 1.Step-by-step explanation:

We know the equation.

=> y = mx + b

We also know the y-intercept is -1.

=> y = mx - 1

All we need to do now is to find the slope. We know the slope formula.

=> Rise/Run = Slope=> 4/6 = Slope=> 2/3 = SlopeConclusion:

Therefore, our equation is y = 2x/3 - 1

Hoped this helped.

[tex]BrainiacUser1357[/tex]

11. A bank teller has a total of 124 bills in five-dollar bills and ten-dollar bills. The total value of the
money is $840. How many ten-dollar bills does she have?

Answers

From my understanding, there are 124 5 dollar bills which would equal $620.

The total money of the value is $840 then you would subtract. $840-$620=$220.

Divide that by ten so, $220/10= 22.

She has 22 ten dollar bills.

10. Mrs. Taylor wants to lay new carpet in the entrance and hallway of her home as shown below. The carpet she selected sells for $2.50 a square foot. How much will it cost to lay the carpet in the entrance and hallway?

Answers

Don’t u just multiply $2.50 to 2…

B. {(15,0),(15,-2)}
Function?
Domain:
Range

Answers

Answers:

Function? No, it's not a functionDomain:  {15}Range: {0, -2}

===============================================

Explanation:

The domain consists of the set of x coordinates of each point. In this case, we only have one x value listed. The domain is {15}. Use curly braces even if there's only one item. This tells the reader we have a set.

The range is {0,-2} to indicate the y coordinates of the two points.

We don't have a function because x = 15 repeats itself. The input x = 15 leads to multiple outputs at the same time, which isn't allowed if you want a function. You can use the vertical line test as a visual way to see that we don't have a function.

Giving brainliestttyttttt

Answers

Answer:

C

Step-by-step explanation:

Because its right

Can someone also help me with this one? Thank you very much!

Answers

Answer:

10950 feet

Step-by-step explanation:

1 mile is 5280 feet

5280*2=10560

10560+390=10950

:)

Answer:

Your answer would be 10950!

Step-by-step explanation:

There are 5280 Feet in a mile.  It says that there are 2 MILES and 390 FEET.  We Multiply 2 by 5280 to get 10560 feet.Lastly, we add 10560 and 390 to get 10950

As a car owner/lessee, it is not a requirement to have minimum coverage auto insurance.

T or F

Answers

Answer: False

Step-by-step explanation:

Write
48
:
132
:
84
in its simplest form.

Answers

Answer:

4:11:7

Step-by-step explanation:

Find the GCF, or greatest common factor of the 3 numbers. In this case it is 12. To simplify, divide each number by 12

Answer:

4:11:7

Step-by-step explanation:

please mark me as brainlest

George and Marylin were both given the following example to complete on their
exam:
(152 +122-24x)
3.x
Below is each of their answers:
George
Marylin
(15x' +12° -24x)
3.x
(158° +12r -24x)
Зr
5r? +4x-8
5x +4x? - 8x
Which student is correct?
Explain the mistake that the other student made (Be detailed in your answer)

Answers

Answer:

this is not my level of math sorry i cant help you :(

Step-by-step explanation:

sorry

1. Which value is the closest to 0.9.997?
a.
1,000
b.
81
C.
10,000
d.
10

Answers

I think the answer would be D. 10 is closest to 0.9997

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