Answer:
75
Step-by-step explanation:
So we have:
Take the derivative of the function. Use the power rule, which states that:
Therefore:
![\frac{d}{dx}[f(x)]=\frac{d}{dx}[x^3]](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29%5D%3D%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E3%5D)
Use power rule:
Now, substitute in -5:
Square and multiply:
So our answer is 75.
This means that the slope of the line tangent to the point (-5,-125) on the graph x^3 is 75.
And we're done!
20 / 4 = 5 miles per hour
5 x 10 = 50 mile in all 10 hours
Fred can hike 50 miles in 10 hours total
108/12=9
(You have to divide because you are seeing how many times 12 will go into 108 square feet)
The width of the door is 9 feet!
You can check your answer by multiplying 12 feet times 9 feet.
Your answer will be 108 ft squared! :)
So, the width of the door is 9 feet.
Hope I helped! :)
Answer:
<u>Please read the answers below.</u>
Step-by-step explanation:
Let's recall that in a square all its sides are equal length and all the four internal angles measure 90 °
5. If LN = 46, then we have:
OM = <u>46</u> (Same length than LN)
PN = LN/2 = 46/2 = <u>23</u>
ON = √LN²/2 = √ 46²/2 = √ 2,116/2 = √ 1,058 = <u>32.53 (Rounding to two decimal places)</u>
MN = ON = <u>32.53</u>
6. m ∠EFG = <u>90°</u>
m ∠GDH = ∠GDH/2 = 90/2 =<u> 45°</u>
m ∠FEG = ∠DEF/2 = 90/2 =<u> 45°</u>
m ∠DHG = 180 - (∠GDH + ∠DGH) = 180 - (45 + 45)= 180 - 90 = <u>90</u>°
7. Solve for x
6x - 21 = ∠PQR/2
6x - 21 = 90/2
6x - 21 = 45
6x = 45 +21
6x = 66
<u>x = 11</u>
