Answer:
y = 112
Step-by-step explanation:
If y varies directly as the square of x
mathematically;
y ∝ x²
y = kx² where 'k' is the constant of proportionality
let u know the value of k for this equation by making k the subject of the formular from y = kx²
divide both sides by x²
k = y / x²
given that y = 567 x = 9
k = 567/(9)²
k = 567/81
k = 7
now to get the value of y when x = 4
from the equation conneting x, y,
y = kx²
y = 7 × (4)²
y = 7 × 16
y = 112
Answer:
b
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
5x-4=9
5x=9-4
5x=5
x=1
Answer:
<h2>
y = -¹/₄x - 1</h2>
Step-by-step explanation:
If two lines are perpendicular then the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = 4x - 2 ⇒ m₁=4
4×m₂ = -1 ⇒ m₂ = -¹/₄
The line y=-¹/₄x+b passes through point (4, -2) so the equation:
-2 = -¹/₄×4 + b must be true
-2 = -1 + b
b = -1
Therefore equation in slope-intercept form:
y = -¹/₄x - 1
Answer:
the initial height of ball when the player releases it
Step-by-step explanation:
A basketball player shoots a free throw in a game. The quadratic expression models the height of the ball, in feet, where t is the time, in seconds.
y= -16t^2 + 25t+7
Given equation is in the form of
y= -16x^2 + V t + h
Where V represents the initial velocity and h represents the initial height of the ball
Now we compare our equation with the general equation
We have 7 in the place of h
So , 7 is the initial height of the ball
Answer is 7 is the initial height of ball when the player releases it
