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lora16 [44]
3 years ago
11

Find the value of x for which AE¯¯¯¯¯¯¯∥CD¯¯¯¯¯¯¯. answers: 43 31 47 121

Mathematics
1 answer:
suter [353]3 years ago
8 0

Answer:

the answer is 31

Step-by-step explanation:

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Find the distance between points A (10,-1) and B (-2,5). Round to the nearest tenth
bija089 [108]

Answer:

<h2>The answer is 13.4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A (10,-1) and B (-2,5)

The distance is

|AB|  =  \sqrt{ ({10 + 2})^{2} +  ({ - 1 - 5})^{2}  }  \\  =  \sqrt{ {12}^{2}  +  ({ - 6})^{2} }  \\  =  \sqrt{144 + 36}  \:  \:  \:  \:  \:  \:  \:   \\  =  \sqrt{180}  \\  = 6 \sqrt{5}  \:  \:  \\  =13.416407

We have the final answer as

<h3>13.4 units to the nearest tenth</h3>

Hope this helps you

7 0
3 years ago
At Southside Middle School, 30% of the students play an instrument. There are 310 students. How many students play an instrument
rodikova [14]

93 students play an instrument because you would take 310 (the total amount of students) and multiply it by 0.3 (the thirty percent) and get 93

5 0
3 years ago
What function is increasing? will give brainlist !
Wewaii [24]

Answer:

Option B.

Step-by-step explanation:

Option A.

f(x) = (0.5)^{x}

Derivative of the given function,

f'(x) = \frac{d}{dx}(0.5)^x

      = (0.5)^x[\text{ln}(0.5)]

      = -(0.693)(0.5)^{x}

Since derivative of the function is negative, the given function is decreasing.

Option B. f(x) = 5^x

f'(x) = \frac{d}{dx}(5)^x

      = (5)^x[\text{ln}(5)]

      = 1.609(5)^x

Since derivative is positive, given function is increasing.

Option C. f(x) = (\frac{1}{5})^x

f'(x) = \frac{d}{dx}(\frac{1}{5})^x

      = \frac{d}{dx}(5)^{(-x)}

      = -5^{-x}.\text{ln}(5)

Since derivative is negative, given function is decreasing.

Option D. f(x) = (\frac{1}{15})^x

                f'(x) = -15^{-x}[\text{ln}(15)]

                       = -2.708(15)^{-x}

Since derivative is negative, given function is decreasing.

Option (B) is the answer.

7 0
3 years ago
5(x + 9) = 5x + 45?<br> What property is this equation?
posledela

Answer:

distributive property

8 0
3 years ago
Read 2 more answers
What expression is equivalent to 3x + 10 - x + 12
harkovskaia [24]

Answer:

2x +22

Step-by-step explanation:

3x + 10 - x + 12

Combine like terms

3x-x + 10+12

2x +22

5 0
3 years ago
Read 2 more answers
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