Answer:
p = -160
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
p/5 = -32
<u>Step 2: Solve for </u><em><u>p</u></em>
- Multiply 5 on both sides: p = -160
Explanation:
To find x we need to find the unknown side that connects the two triangles using the Pythagorean theorem:
a² + b² = c² (c is always hypotenuse)
So:
a² + 6² = 9²
a² = 9² - 6²
a² = 81 - 36
a² = 45
a = sqrt45
Now we do the same thing for the other triangle:
x² + 5² = sqrt45²
x² + 25 = 45
x² = 20
x = 2√5 or 4.5...
Answer:
6x-5 if x<5
Step-by-step explanation:
If x<5, then x-5<0.
If x-5 is negative, then |x-5)=-(x-5) or -x+5.
5x - |x - 5|
5x-(-x+5) provided x<5
5x+x-5 by distributive property
6x-5 combined liked terms
Answer:
5
Step-by-step explanation:
It's directly proportional, so
m=kw
Find the value of k
900=k(18)
k= 50
Answer: m=50w
