The answers is Rational. hope that helps
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: Given expression 
.
In order to find the product of given expression, we need to convert 5,600,000 into scientific notation, because other number is also in scientific notation.
5,600,000 = 5.6 × 10^6.
Therefore, 
.
Now, multiplying 5.63 × 5.6 first, we get 31.528.
And 10^5 × 10^6 = 10^11.
Therefore,
.
<h3>Or 3.1528 × 10^12.</h3>
This problem exercises the concept of "similar triangles."
With similar triangles, we can compare the sides using ratios.
The equation we can use to find side A is stated below.
Side 1A / Side 1B = Side 2A / Side 2B
The number refers to the triangle, and the letter refers to the side of each triangle. Side A in both triangles must be the base of the triangle, and side B in both triangles can be either of the other sides. The only restriction is that once we pick a side B on triangle 1, we must pick that same side on triangle 2.
A / 7 = 3 / 2
Then we can solve for the length of side A.
A = 7*3/2 = 21/2 = (E) None of These
