Answer:
Step-by-step explanation:3(x - 2) + 5x = 9x - 24
Given
3x - 6 + 5x = 9x - 24
Distributive Property
3x + 5x - 6 = 9x - 24
Commutative Property of Addition
8x - 6 = 9x - 24
Combine Like Terms
8x - 8x - 6 = 9x - 8x - 24
Subtraction Property of Equality
0 - 6 = x - 24
Additive Inverse Property (left)
Combine Like Terms (right)
-6 = x - 24
Additive Identity Property
-6 + 24 = x - 24 + 24
Addition Property of Equality
18 = x + 0
Addition (left)
Additive Inverse Property (right)
18 = x
Additive Identity Property
Answer:
9 is the answer
Step-by-step explanation:
If w = t and you know t=9. You know the answer equals 9.
The roots are 3 and 17 so the distributed equation is
(x-3)(x-17)
distribute
x²-3x-17x+51
x²-20x+51
I hope I've helped!
Answer:
Acute
Step-by-step explanation:
The Converse of the Pythagorean Theorem states that:
- If
then the triangle is acute. - If
then the triangle is obtuse. - If
then the triangle is right.
The side lengths 8, 14, and 15 are given. We can assume the hypotenuse (or c) is the longest side length, so it is 15.
It doesn't matter which order of the numbers are plugged in for a and b, so a and b will be 8 and 14.
Now we have to add
and
to see if the sum is greater than, less than, or equal to 15 (c).
Calculate the rest of the problem.
We have to find what
is before we can make a decision using the Converse of the Pythagorean Theorem.
260 (
) is greater than 225 (
). This means that the triangle is acute because
.