Answer:
4 inches
Step-by-step explanation:
A = b x h
A = 36
b = 9
36 = 9 x h
4 = h
height = 4 inches
Answer:
b)-9,2
Step-by-step explanation:
x^2+7x-18=0
x^2+9x-2x-18=0
x(x+9)-2(x+9)=0
(x+9)(x-2)=0
therefore
x=-9
x=2
Answer: 1.4 seconds
<u>Step-by-step explanation:</u>
The equation is: h(t) = at² + v₀t + h₀ where
- a is the acceleration (in this case it is gravity)
- v₀ is the initial velocity
- h₀ is the initial height
Given:
- a = -9.81 (if it wasn't given in your textbook, you can look it up)
- v₀ = 12
- h₀ = 3
Since we are trying to find out when it lands on the ground, h(t) = 0
EQUATION: 0 = 9.81t² + 12t + 3
Use the quadratic equation to find the x-intercepts
a=-9.81, b=12, c=3

Note: Negative time (-0.2) is not valid
Answer:
slope: 3; vertex: (5, -8)
Step-by-step explanation:
Compare the given y+8=3(x−5) to the slope-vertex form y - k = m(x - h). We see that the slope, m, must be 3 and the vertex must be (h, k): (5, -8).
a. Answer: m = 2
<u>Step-by-step explanation:</u>
f(x) = x² - 4x + 1
f(m) = m² - 4m + 1 = -3
m² - 4m + 4 = 0
(m - 2)(m - 2) = 0
m = 2
***************************************************
b. Answer: k = 2 and k = 5
<u>Step-by-step explanation:</u>
f(x) = x² - 7x + 14
f(k) = k² - 7k + 14 = 4
k² - 7k + 10 = 0
(k - 2)(k - 5) = 0
k = 2 k = 5