Answer: g(x) = 3/2 x + 9
Step-by-step explanation:
h(x) = -2/3 x - 1
perpendicular lines always have the opposite sign, reciprocal slope
so, the slope of the perpendicular line would be: m = 3/2
y = mx + b
y = 3/2 x + b
plug in (-4, 3) to find b
3 = 3/2 (-4) + b
3 = -6 + b
b = 9
y = 3/2 x + 9
g(x) = 3/2 x + 9
Answer:
QR=RS=QS=29
Step-by-step explanation:
Given QRS is an equilateral triangle, thus all the three sides of the given triangle will be equal.
Also, from the given statement, we have
QR=2x-7, RS=5x-61 and QS=11+X
Now, As all the sides of the triangle are equal, therefore
QR=RS=QS
⇒QR=RS
⇒2x-7=5x-61
⇒-7+61=5x-2x
⇒54=3x
⇒x=18
Thus, the measure of QR=2(18)-7=29,RS=5(18)-61=29 and QS=11+18=29.
