Answer:
free points thanks
Step-by-step explanation:
Imao
Answer:
march
Step-by-step explanation:
march because it it the smallest number because it is a negative
Answer:
(- 4, 2 )
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ), thus
(2, - 4 ) → (- 4, 2 )
Answer:
<h3>After 0.75 seconds the ball would reach it's maximum height of 16 feet.</h3>
Step-by-step explanation:
We are given a quadratic function
for height of the ball after T seconds.
We need to find the time T when ball would reach at it's maximum height and also maximum height of the ball.
In order to find the maximum height of the ball, we need to find the x-coordinate of the vertex.
x-coordinate of the vertex is given by formula
x =
.
For the given quadratic a=-16 and b= 24.
Plugging a=-16 and b= 24 in above formula of x-coordinate of the vertex.
.
Now, plugging x=0.75 in given quadratic
, we get
![-16(0.75)^2+24(0.75)+7](https://tex.z-dn.net/?f=-16%280.75%29%5E2%2B24%280.75%29%2B7)
= -16(0.5625)+18+7
= -9+25
=16.
<h3>Therefore, after 0.75 seconds the ball would reach it's maximum height of 16 feet.</h3>
the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1
<h3>How to determine the equation</h3>
From the figure given, we can deduce the coordinates of the sides
For A
A ( 4,2)
For B
B ( 4, 5)
C ( 1, 2)
D ( 2, -4 )
E ( 5, -4)
F ( 2, -1)
The slope for BC
Slope = ![\frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D)
Substitute the values for both B and C coordinates, we have
Slope = ![\frac{2- 5}{1 - 4}](https://tex.z-dn.net/?f=%5Cfrac%7B2-%205%7D%7B1%20-%204%7D)
Find the difference for both the numerator and denominator
Slope = ![\frac{-3}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%7D%7B-3%7D)
Slope = 1
We have the rotation for both point ( 0, 1)
y - y1 = m ( x - x1)
The values for y1 and x1 are 1 and 0 respectively and the slope m is 1
Substitute the values
y - 1 = 1 ( x - 0)
y - 1 = x
Make 'y' the subject of formula
y = x + 1
Thus, the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1
Learn more about linear graphs here:
brainly.com/question/4074386
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