Given that PS is a median of triangle PQR, find RQ
A.6
B.12
C.19
D.38
1 answer:
The median triangle is a line segment that connects the vertex and the midpoint of the opposite side. Therefore, in the given, we can say that RS = QS
Equating RS and QS, we will find the value of X
RS = QS
5x-11 = 2x+7
5x-2x = 7+11 ⇒ combine like terms
3x = 18 ⇒ divide both sides by 3 to get the x value
x = 6
Find the value of RS and QS, in this, we will show that two are equal
5(6)-11 = 2(6)+7
19 = 19 ⇒ correct
Therefore RQ is the sum of RS and QS or simply twice the length of either segment
RQ = 19 x 2 = 19 + 19 = 38 (D)
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<u>Explanation:</u>
Average rate of change is slope: 
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g(x) = -x² - 4x
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m = 
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