Answer:
L = 5
Step-by-step explanation:
use Pythagorean Theorem:
L² + (5
)² = (10
)²
L² + 25(2) = 100(3)
L² + 50 = 300
L² = 250
L = 
= 
· = 5
Answer:-7
Step-by-step explanation:do absolute value first and then put the negative sign
5x/4 plug in any number by x
If you have at least as many equations as your have unknown variables, the 'system' is solvable (unless the equations are copies of eachother).
In this case, isolate one letter and plug it in the other. I'm going for the 2a in the bottom one (it doesn't matter)
2a - 4b = 12 => (divide by two and move the b's to the other side)
a = 6 + 2b. (plug this one into the top equation)
4(6+2b) + 6b = 10 => 24+8b+6b = 10 => 24 + 14b = 10 => 14b = -14 => b=-1
a = 6 + -2 = 4.
So a=4 and b=-1.
Answer:
b
Step-by-step explanation:
In a 30-60-90 right triangle, the hypotenuse is twice the length of the short leg.
The hypotenuse is AB and is 18.
The short leg is BC and is 9.
The only choice with BC = 9 is b.
Answer: b
