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3 years ago

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Mathematics

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11Alexandr11 [23.1K]3 years ago

4 0

Answer:

Ohh

Step-by-step explanation:

The answer is already there

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if A is the midpoint of line segment PR, PA= 7x-11, and PR= 8x+14, then what is the value of line segment AR?

Sergeeva-Olga [200]

Answer:

PA+AR=PR

AR= PR- PA

AR= 8x+14-(7x-11)

AR= 8x+14-7x+11

AR= x+25

Now, if A is midpoint of PR, then

PA=AR

7x-11= x+25

6x=36

x=6

Put value of x in AR

AR= 6+25= 31

Hope this will help:)

8 0

3 years ago

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Simplify.

g100num [7]

Slimplify 2-2/3 to 4/3

1/2*2-6*4/3

slimplify 1/2*2 to 1

1-6*4/3

slimplify 6*4/3 to 24/3

1-24/3

slimplify 24/3 to 8

1-8

slimplify

-7

3 0

3 years ago

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What is the equation of the line that passes through (6, 1) and is perpendicular to the line y 3x+2? CI) At what angle do the li

Andrews [41]

Answer with explanation:

The equation of any line with slope 'm' and passing through any point $(x_1,y_1)$ is given by

$y=mx+(y_1-mx_1)$

As we know that the general equation of a line with slope 'm' is $y=mx+c$

Comparing with the given equation $y=3x+2$ we can conclude slope of the given line is $m_1=3$

Now we know that the product of slopes of perpendicular lines is -1

Mathematically we can write for perpendicular lines

$m_1\times m_2=-1$

Thus the slope of the required line is obtained from the above relation since it is given that they are perpendicular

$3\times m_{2}=-1\\\\\therefore m_{2}=\frac{-1}{3}$

Hence using the given and the obtained values the equation of the required line is

$y=-\frac{1}{3}x+(1-\frac{-1}{3}\times 6)}\\\\y=\frac{-x}{3}+3$

Part b)

The angle of intersection between 2 lines with slopes $m_{1},m_2$ is given by

$\theta =tan^{-1}(\frac{m_2-m_1}{1+m_1m_2})$

Comparing the equations of given lines

$y=6x+3\\\\y=2x+3$

with the standard equation we get

$m_{1}=6\\\\m_{2}=2$

Thus the angle of intersection becomes

$\theta =tan^{-1}(\frac{2-6}{1+2\times6})=17.10$

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3 years ago

Where would you put the decimal point in 201 x 15 to make it equal 30.15<br><br> 201 x 15 = 30.15

Norma-Jean [14]

Answer:

2.01 x 15 = 30.15

Step-by-step explanation:

2.01 x 15 = 30.15

201 * .15 = 30.15

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3 years ago

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Below is the entire graph of function f graph f^-1, the inverse of f

torisob [31]

I think:- every point that expresses the graph of the function f must be subtracted 1

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3 years ago