F(x) = x^2
g(x) = x^2+5
g(x) = f(x)+5
We see that g(x) is basically f(x) but we add on 5. So 5 will go in the blank.
T= Total cost
m= # of members
Total equals $60 fee plus ($15 times # of members) plus $95 fee plus ($12 times # of members)
T= $60 + $15m + $95 + $12m
combine like terms
EXPRESSION:
T= $27m + $155
Hope this helps! :)
Answer: 24.2° SouthWest
<u>Step-by-step explanation:</u>
First step: DRAW A PICTURE of the vectors from head to tail <em>(see image)</em>
I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.
<u>Perpendicular (x):</u>
cos 35° = adjacent/hypotenuse
cos 35° = x/160
→ x = 160 cos 35°
<u>Angle (θ):</u>
sin θ = opposite/hypotenuse
sin θ = x/320
sin θ = 160 cos 35°/320
θ = arcsin (160 cos 35°/320)
θ = 24.2°
Direction is down (south) and left (west)
Answer:
Step-by-step explanation:
new length=15+x
width=19+x
then area=(15+x)×(19+x)=285+15x+19x+x²=x²+34x+285 ft²
original area=15×19=285 ft²
then 285+98=x²+34x+285
or
x²+34x-98=0
x²+34x+17²=98+17²
(x+17)²=98+289=387
x+17=√387=3√43
x=3√43-17 ft
Answer:
it is a because you subtract the ten from both side and that makes the -8 into a -18 then you divide by 3 and your answer is -6