Hi someone please help me I'm not sure how to do thi If the longer base of triangle XYZ is three times the length of the shorter base, a, what is the length of the hypotenuse in terms of the shorter base?

(√10)*a

Step-by-step explanation:

In a triangle rectangle, we have 3 sides, in this case, the shorter base, a, the longer base, b and the hypotenuse h.

And the hypotenuse can be found with the Pythagorean's theorem.

a^2 + b^2 = h^2

now, we know that b = 3a, then we can replace it in the above equation:

a^2 + (3*a)^2 = h^2

a^2 + 9*a^2 = h^2

10*a^2 = h^2

now we can apply the square root to both sides and get:

√(10*a^2) = √h^2

(√10)*a = h

Then we have found the length of the hypotenuse in terms of the shorter side a.

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

~

$15.40 per mile

step-by-step explanation:

you have to round up to 4 because 6 is over 5 so you have to round the 3 up to 4