Find the slope between the two points (-5,5) and (3,-5)

Answers

Answer 1
Answer: the formula is y2 minus y1 over x2 minus x1 or rise (y) over run (x). So you would do (-5) - (5) over (3) - (-5). that would equal -10 over 8, or -5/4 when you simplify. your slope would be -5/4

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Translate a point (x, y) 3 units left and 5 units up. Then translate the image 5 units right and 2 units up. What are the coordinatesof the point after the translations?
The coordinates are

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Answer:

Please check the explanation.

Step-by-step explanation:

Given the point

P(x, y)

Please note that when we translate a point 'c' units left, the 'c' units are subtracted from the x-values, and when translating a point 'c' units right, we add the 'c' units to the x-values.

Also, note that when we translate a point 'c' units down, the 'c' units are subtracted from the y-values, and when translating a point 'c' units up, we add the 'c' units to the y-values.

After First Translation:

3 units left and 5 units up

P(x, y) → P'(x-3, y+5)

After Second Translation:

Translate the image 5 units right and 2 units up.

P'(x-3, y+5)  → P''(x-3+5, y+5+2) = P''(x+2, y+7)

Thus, the coordinates  of the point(x, y) after the translations are:  P''(x+2, y+7)

TAKING AN EXAMPLE

Let us consider that point

P(0, 0)

After First Translation:

3 units left and 5 units up

P(0, 0) → P'(0-3, 0+5) = P'(-3, 5)

After Second Translation:

Translate the image 5 units right and 2 units up.

P'(-3, 5) → P''(-3+5, 5+2) = P''(2, 7)

Thus, the coordinates  of the point P(0, 0) after the translations are:

  • P''(2, 7)

The final coordinates of the point after the translations are (x + 2, y + 7). Let's start with a point (x, y) and apply the translations step by step: 1. Translate the point 3 units left and 5 units up:

New coordinates after the first translation: (x - 3, y + 5)

2. Translate the new point 5 units right and 2 units up:

New coordinates after the second translation: (x - 3 + 5, y + 5 + 2)

Now, simplify the expressions inside the parentheses:

New x-coordinate: x - 3 + 5 = x + 2

New y-coordinate: y + 5 + 2 = y + 7

So, the final coordinates of the point after the translations are (x + 2, y + 7).

To know more about coordinates:

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Solve 2x+7=-3 please

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The answer is x=-5, to solve the equation you subtract 7 from both sides, then you divide both sides by 2. 

Hoped this helped you!

Which answer describes the restrictions for the variables?

x - 4 / x + 1

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restrictions are not allowed values

the most common restrictions are sqrt of a negative and dividng by zero
since there are no sqrts in this quesiton, see whicch value of x will make us divide by zero
x-4/x+1
denom=0 to find restricted value
x+1=0
minus 1
x=-1

the restricted value is x=-1
basically
x=all real numbers except for -1
4x/ 1x = 4 
4X/1+ 2

Does the amount of gas in a car depend on how many miles have been driven Or do the number of miles driven depend on the amount of gas in the car? Explain

Answers

Answer:

The amount of gas in a car depend on how many miles have been driven.

Step-by-step explanation:

The number of miles driven is proportionally related to the number of gallons of gas because every  measure of gallons of gas can be multiplied by to get every corresponding measure of miles driven.

Also,

The number of miles driven is the dependent variable

Because the number of miles you can drive depends on the number of gallons of gas you have in your tank.

So, The correct answer is -  The amount of gas in a car depend on how many miles have been driven.

How to find the slope of a line if it says 2x+Y=15 what do i do??

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First, you have to convert it to slope intercept form, which is y=mx+b)

2x+y-2x=15-2x
y=-2x+15

Knowing this, you can easily find the slope. In slope intercept form, the "m" or the coefficient of "x," is the slope.

m=-2

Therefore, your slope is -2.

Find the surface area of the cylinder formed by the net. Use 3.14 for π.

Answers

Answer:

138.23

Step-by-step explanation:

  • 2·π·4·1.5+2·π·42
  • estimated to 138.23

Answer:17.27

Step-by-step explanation: add subtract  and multiply.