12, 106, 42
hope this helps!
Answer:
(x + 4)
Step-by-step explanation:
By factoring the area expression we obtain the length, that is
x² - 3x - 28
Consider the factors of the constant term (- 28) which sum to give the coefficient of the x- term (- 3)
The factors are - 7 and + 4 , since
- 7 × 4 = - 28 and - 7 + 4 = - 3 , then
x² - 3x - 28 = (x - 7)(x + 4)
with width (x - 7) and length (x + 4)
The sum of the first 14 terms of the finite geometric series 0.5+ (-1) +2+... is -2730.5
<h3>How to determine the sum of the series?</h3>
The series is given as:
0.5+ (-1) +2+...
The above series is a geometric series, with the following parameters:
- First term, a = 0.5
- Common ratio, r = -2
- Number of terms, n = 14
The sum of the first 14 terms is calculated using:
So, we have:
Evaluate
Hence, the sum of the series is -2730.5
Read more about series at:
brainly.com/question/6561461
#SPJ1
Answer:
The perimeter of triangle MNP is 130 units
Step-by-step explanation:
By the mid segment theorem, we have it that the a side of the smaller inner triangle is 1/2 the measure of the parallel side of the bigger triangle that faces it
This mean RS is half MN, QS is half NP and QR is half MP
Using this, we have it that;
2(x + 4) = 5x - 34
2x + 8 = 5x -34
5x-2x = 34 + 8
3x = 42
x = 42/3
x = 14
So we have RS which is x + 4 as 14 + 4 = 18
The perimeter of the smaller triangle is the sum of its side lengths
We have this as;
22 + 25 + 18 = 65
Furthermore, by the mid segment theorem , the perimeter of the bigger triangle is twice that of the smaller
thus, we have the perimeter of MNP as 2(65) = 130 units
Answer:
A≈153.94cm²
Step-by-step explanation:
A=πr2
d=2r
Solving forA
A=1
4πd2=1
4·π·142≈153.93804cm²
