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3 years ago

Let f(x) = 22 + 3.0 +2 What is the average rate of change of f(x) from 3 to 6?

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

8 0

Here’s an explanation: The average rate of change of a continuous function, f(x) , on a closed interval [a,b] is given by. f(b)−f(a)b−a.

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1. what’s the distance between (-8, -6) and (4, 10)?

charle [14.2K]

Use the formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(-8,\ -6),\ (4,\ 10)\\\\d=\sqrt{(4-(-8))^2+(10-(-6))^2}=\sqrt{12^2+16^2}\\\\=\sqrt{144+256}=\sqrt{400}=\boxed{20}\\\\(5,\ 14),\ (-3,\ -9)\\\\d=\sqrt{(-3-5)^2+(-9-14)^2}=\sqrt{(-8)^2+(-23)^2}\\\\=\sqrt{64+529}=\boxed{\sqrt{593}\approx24.35}$

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3 years ago

2. Find the measure of the central angle.*

11111nata11111 [884]

Answer: The central angle is 59 degrees.

Step-by-step explanation:

The sector or Arc Length is 59 degrees and the central angle is also 59 degrees, because the central angle equals the same measurement as the sector.

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3 years ago

Steel loading ramps are used to load a

tia_tia [17]

Answer:

6.25 feet.

Step-by-step explanation:

Let L be the length of the ramp in feet.

We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.

We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.

Upon substituting our given values in above formula we will get,

Therefore, the length of the ramp is 75 inches.

Let us convert the length of ramp in feet.

1 feet = 12 inches.

Therefore, the length of the ramp is 6.25 feet.

6 0

3 years ago

Write this number in standard form 3 thousand 16 ten and 7 ones

Lady_Fox [76]

Its 3,167 hope this helped

5 0

3 years ago

Simplify the expression<br> –2 + 7(x + 8)

anastassius [24]

Answer:

54+7x

Step-by-step explanation:

-2+7(x+8)

-2+7x+56

54+7x

7 0

3 years ago

Read 2 more answers