Answer:
s = 71
Step-by-step explanation:
Given that GJ is a midsegment of the triangle then it is half the length of the third side, that is
GJ = 
HI , so
s - 65 = (s - 59) ← multiply both sides by 2 to clear the fraction
2s - 130 = s - 59 ( subtract s from both sides )
s - 130 = - 59 ( add 130 to both sides )
s = 71
Answer:
x = 2
Step-by-step explanation:
Given that the measure of segment BC must equal the addition of the measure of segment BA plus the measure of segment AC, we can write this in equation form:
BC = BA + AC
then we replace them with the measure information they provide:
12 x + 4 = 7 x - 4 + 8 x + 2
and we solve for x in the equation:
12 x + 4 = 15 x - 2
subtract 12 x from both sides:
4 = 15 x - 12 x - 2
4 = 3 x - 2
add 2 on both sides
4 + 2 = 3 x
6 = 3 x
x = 6/3
x = 2
Answer:
$41.63
Step-by-step explanation:
<h2>
The required "option A) 
" is correct.</h2>
Step-by-step explanation:
We have,
..... (1)
To find, 
= ?
Differentiating equation (1) w.r.t. 'x', we get
![\dfrac{dy}{dx}= \dfrac{d[(3x + x^2)^5]}{dx}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%3D%20%5Cdfrac%7Bd%5B%283x%20%2B%20x%5E2%29%5E5%5D%7D%7Bdx%7D)
⇒ 
[ ∵ 
⇒ 
]
⇒ 
⇒ 
Thus, the required "option A) " is correct.
