Solutions
Factor <span>8x</span>²<span>−27
</span><span>=<span>8x</span></span>²<span>−<span>27
You can not factor </span></span><span>8<span>x</span></span>²−<span>27</span>
Suppose the shorter leg is x, then the longer leg is x+3, and the hypotenuse is x+6
x^2 +(x+3)^2 =(x+6)^2
x^2 + x^2 + 6x +9=x^2 + 12x +36
x^2-6x-27=0
(x+3)(3-9)=0
x=-3, which is impossible, or x=9
so the shorter leg is 9mm, the longer leg is 12mm, and the hypotenuse is 15mm
1
a numerator in a fraction is the top number
Answer:
f(x + 3) = x² + 3x - 2
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Expand by FOIL (First Outside Inside Last)
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² - 3x - 2
f(x + 3) is x = x + 3
<u>Step 2: Find</u>
- Substitute: f(x + 3) = (x + 3)² - 3(x + 3) - 2
- Expand by FOILing: f(x + 3) = x² + 6x + 9 - 3(x + 3) - 2
- Distribute 3: f(x + 3) = x² + 6x + 9 - 3x - 9 - 2
- Combine like terms: f(x + 3) = x² + 3x - 2
Your answer would be 4 you go with P.E.M.D.A.S so (5-1)= 4 then 4+4=8-4=4
