Answer:
I'm pretty sure the answer is Domain
The domain is the set of all X coordinates, range is the set of all Y coordinates
Completing the Square
2. Solve the equation by completing the square. Show your work.
x^2 – 30x = –125
Step 1: Add to both sides of the equation. (2 points)
Add 225 both sides of the equation
x^2 – 30x + 225 = –125
+ 225
x^2 - 30x + 225 = 100
Step 2: Factor the left side of the equation. Show your work. (2 points)
Hint: It is a perfect square trinomial.
x^2 - 30x + 225 = 100
Factor the left side of the equation:
(x - 15)^2 = 100
Step 3: Take the square root of both sides of the equation from Step 2. (1 point)
√(x - 15)^2 = √100
Step 4: Simplify the radical and solve for x. Show your work. (1 point)
x - 15 = + - 10
x - 15 = 10
x = 25
x - 15 = -10
x = 5
Solutions x = 25, 5
let x = one number
let x - 27 = second number
x + x -27 = -91
2x - 27 = -91
2x = -64
x = -32
Numbers are -32 and -59
Hope this helps! ;)
Answer:
1 - c
2 - A
Step-by-step explanation:
Hey There!
So for the first one we are given the dimensions of a rectangular prism and they want us to find the volume
Remember to find the volume we use the equation
V = length x width x height
so we just plug in the values
v = 2.6 x 2.1 x 3.9 = 21.294
the closest is 20 so C is your answer
For the second one we are given a triangular prism
and they want us to find the volume
![V=\frac{1}{2} bhl](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B2%7D%20bhl)
b = base (10.3)
l = length (4)
h = height (7)
7x4=28
28x10.3=288.4
then we divide by 2
288.4/2=144.2
so your selected answer is correct
Answer:
<h2>y = 4.5</h2>
Step-by-step explanation:
![\dfrac{15}{y}=\dfrac{40:4}{12:4}\\\\\dfrac{15}{y}=\dfrac{10}{3}\qquad\text{cross multiply}\\\\10y=(15)(3)\\\\10y=45\qquad\text{divide both sides by 10}\\\\\dfrac{10y}{10}=\dfrac{45}{10}\\\\y=4.5](https://tex.z-dn.net/?f=%5Cdfrac%7B15%7D%7By%7D%3D%5Cdfrac%7B40%3A4%7D%7B12%3A4%7D%5C%5C%5C%5C%5Cdfrac%7B15%7D%7By%7D%3D%5Cdfrac%7B10%7D%7B3%7D%5Cqquad%5Ctext%7Bcross%20multiply%7D%5C%5C%5C%5C10y%3D%2815%29%283%29%5C%5C%5C%5C10y%3D45%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%2010%7D%5C%5C%5C%5C%5Cdfrac%7B10y%7D%7B10%7D%3D%5Cdfrac%7B45%7D%7B10%7D%5C%5C%5C%5Cy%3D4.5)