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3 years ago

2(v–11) please help me solve this

Mathematics

1 answer:

nika2105 [10]3 years ago

6 0

Answer: 2v-22

Step-by-step explanation:

2(v)=2v

2(-11)= -22

2v - 22

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What is a limited liability company?

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3 0

3 years ago

From the side of a hill wai-kin looks up at the top of a nearby vertical cliff at an angle of elevation of 36 degrees and looks

oksano4ka [1.4K]

Answer:

881.5 meters.

Step-by-step explanation:

The horizontal plane at the level of wai-kin's eyes divide the height of the cliff into two parts. Let the upper part be represented by x and the lower part be represented by y.

The height of the cliff = x + y

Applying the appropriate trigonometry functions.

To determine the value of x;

Tan θ = $\frac{opposite}{adjacent}$

Tan $36^{o}$ = $\frac{x}{490}$

⇒ x = 490 x Tan $36^{o}$

= 490 x 0.7265

= 355.985

x = 356 meters

To determine the value of y;

Tan θ = $\frac{opposite}{adjacent}$

Tan $47^{o}$ = $\frac{y}{490}$

⇒ y = 490 x Tan $47^{o}$

= 490 x 1.0724

= 525.476

y = 525.5 meters

Therefore,

The height of the cliff = x + y

= 355.985 + 525.476

= 881.461

The height of the cliff is 881.5 meters.

3 0

3 years ago

Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8

vekshin1

Answer:

b=4

Step-by-step explanation:

So, we have the function $f(x)=1/x$ . We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

$\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b} =-1/8$

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

$\frac{.5b-1}{2b-b^2} =\frac{-1}{8}$