Answer:
(2a + 1)(2a - 5)
Step-by-step explanation:
Given
4a² - 8a - 5
Consider the factors of the product of the coefficient of the a² term and the constant term which sum to give the coefficient of the a- term
product = 4 × - 5 = - 20 and sum = - 8
The factors are + 2 and - 10
Use these factors to split the a- term
4a² + 2a - 10a - 5 ( factor the first/second and third/fourth terms )
= 2a(2a + 1) - 5(2a + 1) ← factor out (2a + 1) from each term
= (2a + 1)(2a - 5)
Answer:
x = 27
Step-by-step explanation:
vertical angles are congruent , then
5(x - 4) = 4x + 7 ← distribute parenthesis on left side
5x - 20 = 4x + 7 ( subtract 4x from both sides )
x - 20 = 7 ( add 20 to both sides )
x = 27
Use the Pythagorean theorem:

<u><em>Answer:</em></u>
x = 3
<u><em>Explanation:</em></u>
The complete question is shown in the attached diagram
<u>Collinear points</u> are defined as points that lie on the same straight line
Since points U, T and V are given to be collinear, this means that these three points lie on the same straight line
Now, we are given that point U is between points T and V
This would mean that the length of segment TV can be written as the sum of the segments TU and UV
<u>Therefore:</u>
TV = TU + UV
<u>We are given that:</u>
TV = 14x - 8
TU = 9x + 2
UV = 5
<u>Substitute with the givens in the above mentioned equation and solve for x as follows:</u>
TV = TU + UV
14x - 8 = 9x + 2 + 5
14x - 8 = 9x + 7
14x - 9x = 7 + 8
5x = 15
x = 3
Hope this helps :)
Answer:
160%
Step-by-step explanation:
138-100%
355-x%
355*100/138=257.2%~260%
260%-100%=160%