Ahot air balloon is tethered to the ground by rope that is 200 feet long. the balloon floats into the sky at a rate of 4 feet per second. the equation y=4x gives the height, y, of the balloon x seconds after leaving the ground.

graph the function
what’s the domain?
what’s the range?
interpret the x and y intercepts.

Step-by-step explanation:

y is the height of the balloon.  x is the time in seconds.

The balloon starts on the ground, so the smallest value of y is 0.  We know the rope is 200 feet long, so the biggest value of y is 200.  So the range is 0 ≤ y ≤ 200.

Find the value of x at each end of the range.

When y = 0:

0 = 4x

x = 0

When y = 200:

200 = 4x

x = 50

So the domain is 0 ≤ x ≤ 50.

The x and y-intercept is (0, 0).  This means the balloon is initially on the ground.

Graph: desmos.com/calculator/eaavtvbuxm

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

ummm seems that u didnt post the attachement !