4th from the top: 1/2base x height
The line x - y = 5 passes through the point (0, -5)
Answer:
2x^2 +11
Step-by-step explanation:
f(x) = 3x^2 + 2 and g(x) = x^2 – 9
(f – g)(x) = 3x^2 + 2 -( x^2 – 9)
Distribute the minus sign
3x^2 + 2 - x^2 + 9
Combine like terms
2x^2 +11
Answer:
<h3>A. y=-2x+3z+25</h3>
Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
<u>To solve:</u>
![\Longrightarrow: \sf{\sqrt{2x+y-3z}=5}](https://tex.z-dn.net/?f=%5CLongrightarrow%3A%20%5Csf%7B%5Csqrt%7B2x%2By-3z%7D%3D5%7D)
<h3>2x+y-3z=25</h3>
<u>First, you have to subtract by 2x-3z from both sides.</u>
![\Longrightarrow: \sf{2x+y-3z-\left(2x-3z\right)=25-\left(2x-3z\right)}}](https://tex.z-dn.net/?f=%5CLongrightarrow%3A%20%5Csf%7B2x%2By-3z-%5Cleft%282x-3z%5Cright%29%3D25-%5Cleft%282x-3z%5Cright%29%7D%7D)
<u>Solve.</u>
![\Longrightarrow: \boxed{\sf{y=25-2x+3z}}}](https://tex.z-dn.net/?f=%5CLongrightarrow%3A%20%5Cboxed%7B%5Csf%7By%3D25-2x%2B3z%7D%7D%7D)
- <u>Therefore, the correct answer is "A. y=-2x+3z+25".</u>
I hope this helps, let me know if you have any questions.
Answer:
d = (1/20) t + 2
Step-by-step explanation:
∵ The equation of Monika is:
d = (1/15)t + 1 ⇒ linear equation
∴ The slope of the line = 1/15 ⇒ speed of Monika
∵ The speed of Mark is 3/4 as fast as Monika
∴ The speed of Mark = 3/4 × 1/15 = 1/20
∵ Mark starts a mile behind her
∵ at t = 0 ⇒ her distance is 1
∴ at t = 0 ⇒ his distance is 2
∴ His equation is d = (1/20) t + 2