What is the y intercept in the equation y=45x+65

Mathematics

1 answer:

vlada-n [284]4 years ago

8 0

Answer:

Step-by-step explanation:

You might be interested in

A basketball player stands near the middle of the court and throws the ball toward the basket.

kompoz [17]

Answer:

A function to represent the height of the ball in terms of its distance from the player's hands is $y=\frac{-1}{54}(x-18)^2+12$

Step-by-step explanation:

General equation of parabola in vertex form $y= a(x-h)^2+k$

y represents the height

x represents horizontal distance

(h,k) is the coordinates of vertex of parabola

We are given that The ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.

So,(h,k)=(18,12)

Substitute the value in equation

$y=a(x-18)^2+12$ ---1

The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0

So, y = 6

So, $6=a(0-18)^2+12$

6=324a+12

-6=324a

$\frac{-6}{324}=a$

$\frac{-1}{54}=a$

Substitute the value in 1

So, $y=\frac{-1}{54}(x-18)^2+12$

Hence a function to represent the height of the ball in terms of its distance from the player's hands is $y=\frac{-1}{54}(x-18)^2+12$

8 0

4 years ago

When Raphael solved the system below by using the method of elimination, he changed the second equation to -8x-2y=-2 what proper

galben [10]

For this case, what we are going to do is use the following property:
Multiply an equation by a scalar.
In this case, the scalar will be:
k = -2
We have then that equation 2 will be:
k * (4x + y) = k * 1
-2 * (4x + y) = - 2 * 1
-8x-2y = -2
Answer:
The property that justifies this manipulation is:
Multiply an equation by a scalar.

4 0

3 years ago

I need help with number 6

gavmur [86]

Answer:

Step-by-step explanation:

Hola kamustas

7 0

3 years ago

Solve the inequality 4y+3x-y>-6x+12

Nady [450]

First, combine like terms.

3y+3x>-6x+12

Next, because there can not be the same variable on both sides, add 6x to both sides.

3y+9x>12