Answer:
The answer is C. An absolute value will never have a negative in it.
Step-by-step explanation:
Using the Pythagorean theorem:
a^2 + b^2 = c^2
A and B are the sides and c is the hypotenuse.
4^2 + 5^2 = c^2
Simplify:
16+25 = c^2
41 = c^2
Take the square root of both sides:
c=√41
Answer:
1. 2³ × 2² = (2 × 2 × 2) × (2 × 2) = 23+2 = 2⁵
2. 3⁴ × 3² = (3 × 3 × 3 × 3) × (3 × 3) = 34+2 = 3⁶
3. (-3)³ × (-3)⁴ = [(-3) × (-3) × (-3)] × [(-3) × (-3) × (-3) × (-3)]
= (-3)3+4
= (-3)⁷
4. m⁵ × m³ = (m × m × m × m × m) × (m × m × m)
= m5+3
= m⁸
Step-by-step explanation:
exponential law
Hey there!
When we multiply fractions and whole numbers, we simply take that whole number and put it over them, and just multiply across. That gives us:

Notice how it's four, because when we have a fraction, we divide. 8 divided by 2 equals four. Next:

4/4 is equal to 1 because 4 divided by 4 is one. 4 goes into 4 once. Next, we have:

That's because 6/3 = 2.
Hope this helps!
Answer:
<h2><u>
x = 8.2</u></h2>
Step-by-step explanation:
A^2+B^2=C^2 is the pythagorean theorem to find a missing siede of a triangle.
First triangle on the right:
5^2+B^2=10^2
25+B^2=100
B^2=75
B=8.66025404
B=8.7
Second triangle of left:
3^2+B^2=8.7^2
9+B^2=75.69
B^2=66.69
B= 8.16639455
B=8.2
x=8.2