Q(8,7), r(-7,2) s(8,13),t(-11,2) is it parallel

Answer:

Speed of the first car = x = 35km/hr

Speed of the second car = 25km /hr

Step-by-step explanation:

The calculation of speeds of the cars is given below:-

Assume that the speed of the 1st car which is opening from A = x km/hr

and assume the Speed of the 2nd car which is starting from B

= y km/hr  

As we know that

Time = Distance ÷ Speed

So, the distance lies between two places i.e.  A and B are

80km d = 80 km

1. now when the car moves in the similar  direction

So, the corresponding speed of them = (x + y)km/hr

Time = 8hr

d = 80km

[tex]8 = \frac{80}{(x + y)}\\\\x + y = \frac{80}{8}\\\\x + y = 10 ..... (i)[/tex]

2. when two cars moving in the inverse direction,

So, the corressponding speed = (x - y) km / hr

Time = 1 hr 20 minutes

That means

= (1 + 20 ÷ 60) hr

= (80 ÷ 60)

= 4/3 hr

d = 80km

Now

4 ÷ 3 = 80 ÷ (x -y)

x -y = (80 × 3) ÷ 4

x - y = 60 ..... (ii)

Now, we will sum equation 1 and equation 2 we will get

2x = 70

x = 35

now, Put x = 35 in (i) we will get

y = 25

Speed of the first car = x = 35km/hr

Speed of the second car = 25km /hr

Answer:

x = 1

Step-by-step explanation:

4x+7(3x-3) = 9-5x (equation)

4x+21x-21 = 9-5x (simplify)

25x-21 = 9-5x (combine like terms)

30x-21 = 9 (add 5x to each side)

30x = 30 (add 21 to each side)

x = 1 (divide each side by 30)

Answer: {y,x}={2,8}

// Solve equation [2] for the variable  y

 [2]    y = -2x + 18

// Plug this in for variable  y  in equation [1]

  [1]    (-2x+18) - x = -6

  [1]     - 3x = -24

// Solve equation [1] for the variable  x

  [1]    3x = 24

  [1]    x = 8

// By now we know this much :

   y = -2x+18

   x = 8

// Use the  x  value to solve for  y

   y = -2(8)+18 = 2

Solution :

{y,x} = {2,8}

Answer:

The length of the base the pyramid is 116 feet.

Step-by-step explanation:

See the diagram attached to this answer.

Let Δ OAB is the side triangle of the square pyramid, and A'B' is the mid segment parallel to the ground with length of 58 feet.

Now, Δ OAB and Δ OA'B' are similar triangle and the length of sides of the triangle Δ OA'B' are in the same ratio with the corresponding sides of Δ OAB.

Hence,

⇒ AB = 2 × 58 = 116 feet.

The length of the base the pyramid is 116 feet. (Answer)  

Answer:

Elizabeth what??????

Answer: 4

Step-by-step explanation: 2+2 is 4

Answer:

V = 432 inches^3

Step-by-step explanation:

V = 1/3 (18)^2 (4)

V = 1/3 (1296)

V = 1296/3

V = 432

Answer:

x+3-12/8

Step-by-step explanation:

h(x)=-3/8x+12

y=h(x) let

y=-3/8x+12

here,

put at x at y and put y at x

x=-3/8y+12

8y=x+3-12

y=x+3-12/8

Answer:

The x-intercept occurs when y is zero. The y-intercept is the point, (0,b) , where the graph crosses the y-axis . The y-intercept occurs when x is zero.

Step-by-step explanation:

Answer:

7x+23 would be the answer

Given:

Able's age can be represented by x.

Able's sister is 4 years younger than him.

Able's older brother is twice as old as he is.

The combined age of all three siblings is 32.

To find:

The age of Able's younger sister.

Solution:

Able's age can be represented by x.

Able's sister is 4 years younger than him.

Age of Able's sister = (x-4)

Able's older brother is twice as old as he is.

Age of Able's older brother = 2x

The combined age of all three siblings is 32.

[tex]x+(x-4)+2x=32[/tex]

[tex]4x-4=32[/tex]

Add 4 on both sides.

[tex]4x=32+4[/tex]

[tex]4x=36[/tex]

Divide both sides by 4.

[tex]x=\dfrac{36}{4}[/tex]

[tex]x=9[/tex]

The age of Able is 9 years. So, age of his younger sister is

[tex]9-4=5[/tex]

Therefore, the age of Able's sister is 5 years.

Answer:

Step-by-step explanation:

Answer:

Your friend is incorrect

Step-by-step explanation:

(a + b) + c = a + (b + c) .... associative property of addition

(ab)c = a(bc) .... associative property of multiplication

(a + b)c = a + (bc) .... Incorrect

(ab) + c = a(b + c) .... Incorrect

the answer is 95.

Step-by-step explanation:

180-85=95

Answer:

m<1= 95

Step-by-step explanation:

180-85=95

The correct option is Option C: The function shown on the graph has a greater rate of change and a higher starting point.

The rate of change of function is the change in the value of the function with respect to x value.

rate of change of function f(x)= df(x)/dx= f'(x)

Here the function given in the question is y=2x-5

rate of change of function= f'(x)= df(x)/dx= dy/dx= d(2x-5)/dx= 2

the starting point of the function f is y-intercept of the function.

the y-intercept of the function is the point where the function touches the y-axis which can be calculated by putting x value is equals to 0.

y= 2x-5

⇒y= 2*0-5

⇒y= -5

The starting point of function is -5.

Given the graph has slope = |y-intercept| / |x intercept|

= 4/1 =4

rate of change of graph = slope of graph= 4

similarly, the y-intercept of the function is the point where the function touches the y-axis which can be calculated by putting x value is equals to 0.

The y-intercept of the graph= the starting point of the graph= -5

Therefore the function in the graph has a higher rate of change as well as a higher starting point.

From the above, it is clear that the correct option is Option C: The function shown on the graph has a greater rate of change and a higher starting point.

Learn more about the rate of change of function

here: https://brainly.com/question/3939432

#SPJ2

Answer:

18

Step-by-step explanation:

2×(4 - 1) ^2

2 ×3 ^2

2 ×9

18

Answer:

1/2 is 0.5

but % means times by 0.01

so 1/2% is way more smaller

Answer:

1) The dependent variable is the monthly charge and the independent variable is the $110 to open the membership.

2)The dependent variable is the monthly charge because it will change depending on how many months you plan to keep your membership.

3)This relationship is linear because it will go up by $30 every month.

4)You could create a graph off of this information because all you would need to do is graph the cost each month.

5)I would need the number of month that I would keep the membership going and the amount that i have already paid.

Answer:

[tex]x^{3} + 7x[/tex]

Step-by-step explanation:

cube of a number is the number multiplied by itself thrice.

This means:

x × x × x = [tex]x^{3}[/tex]

Seven times (multiply, ×) the number(x) means:

7 × x = [tex]7x[/tex]

We are to sum (add, +) both:

[tex]x^{3}[/tex] + [tex]7x[/tex]

Answer is [tex]x^{3}[/tex] + [tex]7x[/tex]

Answer:

[tex]Frozen\ Soup = 7550mL[/tex]

Step-by-step explanation:

Given

[tex]Soup = 9,350mL[/tex]

[tex]Packed = 1.8L[/tex]

Required

Determine the frozen soup

This is calculated as thus:

[tex]Frozen\ Soup = 9,350mL - 1.8L[/tex]

Convert 1.8L to mL

[tex]Frozen\ Soup = 9,350mL - 1.8 * 1000mL[/tex]

[tex]Frozen\ Soup = 9,350mL - 1,800mL[/tex]

[tex]Frozen\ Soup = 7550mL[/tex]

Answer:

[tex]b_2 = -2.5[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}(4.5 + b_2) * 6 = 21[/tex]

Required

Determine the value of T

[tex]\frac{1}{2}(4.5 + b_2) * 6 = 21[/tex]

Multiply both sides by 2

[tex]2 * \frac{1}{2}(4.5 + b_2) * 6 = 21 * 2[/tex]

[tex](4.5 + b_2) * 6 = 42[/tex]

Divide through by 6

[tex]4.5 + b_2 = 42/6``[/tex]

[tex]4.5 + b_2 = 7[/tex]

[tex]b_2 = 7 - 4.5[/tex]

[tex]b_2 = -2.5[/tex]

Answer:

first option

Step-by-step explanation:

Answer:

A. 0.05, 0.2, 0.48, 0.6.

Answer:

Step-by-step explanation:

Several congruent angles are formed.

Vertical angles are formed.

Complementary angles are formed.

Supplementary angles are formed.

Obtuse angles are formed.

1

Answer:

16

Step-by-step explanation:

Answer:

terminating repeating decomal

Step-by-step explanation:

Answer: terminating repeating decimal

Step-by-step explanation: In the subject of Mathematics, we usually classify numbers in several types: whole numbers, rational numbers, natural numbers, and real numbers. We also include decimals in these types. Decimals are used by us to convey a whole number and a fraction together. We do this by separating a whole number from the adjoining fraction by inserting “.” between them. This symbol is called a decimal point. In other words, decimals are just another way of representing fractions.

Answer:

x ≤ 2

Step-by-step explanation:

6−2 ≤ −2x

4 ≤ −2x

x ≤ 2

Answer:

36

Step-by-step explanation:

(2p-3r)^2

(2•6-3•2)^2

(12-6)^2

(6)^2

36

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