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 .
Try this solution. Basic steps marked by '·'
You may simplify the answer.
Answer: 49.25
Step-by-step explanation:
Answer:
62 units
Step-by-step explanation:
The absolute value of a number A is the positive distance between 0 and the number A (you can think this distance as the distance measured with a ruler from 0 to the number). For example:
|-2|=2 , |25|=25, |-3|=3, |-25.3|=25.3
Note that the absolte value is always positive.
The distance between two numbers P,Q in the real line is the absolute value of the difference between the two points:
Hence, the distnce between P=-50 and Q=12 is equal to