Answer:
9. 6k + 5 and 2k - 1.
10. 5√2 .
Step-by-step explanation:
9. Area = 12k^2 + 4k - 5
Factoring:
12k^2 - 6k + 10k - 5
= 6k(2k - 1) + 5(2k - 1)
= (6k + 5)(2k - 1)
So the required lengths are 6k + 5 and 2k - 1.
10. The ratio of a leg to the hypotenuse is 1: √2 so if the hypotenus = 10 the length of a leg is 10 / √2
= 10 √2 / 2
= 5√2 .
Answer:
Step-by-step explanation:
In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:
Therefore, the length of the opposite side is about 7.8 units
Answer:
4
Step-by-step explanation:
2x + 3x + 4x = 36
Evaluate like terms.
9x = 36
Find x.
x = 36 ÷ 9
x = 4
Answer:
Slope is 1/2
Step-by-step explanation:
Slope Formula = m = y2 - y1/x2 - x1
Point = (4,2) and (10,5)
m = y2 - y1/x2 - x1
m = 5 - 2/10 - 4
m = 3/6
m = 1/2
