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Sergeu [11.5K]
3 years ago
8

T What's the circumference of a circle with a diameter of 45 centimeters? A. 141.4 centimeters B. 6,361.7 centimeters C. 282.7 c

entimeters D. 70.7 centimetershe following drawing contains two ______ angles. A. right B. vertical C. obtuse D. acute
Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0
C=pid
d=45
c=45pi
aprox pi=3.14
c=141.3

A is answer
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(x−5) ^2 in expanded
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Answer:

x^{2}-10x+25

Step-by-step explanation:

We can rewrite the question as (x-5)*(x-5).

Using the FOIL Method (First, Outside, Inside, Last):

x^{2}-5x-5x+25

This simplifies to x^{2}-10x+25

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A mountain bike originally priced at $929.00 is up for sale at a discount of 12%. What is the price of the mountain bike after t
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Write an equation in slope-intercept form for the line that passes through the point  ( -1 , -2 )  and is perpendicular to the l
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The equation in slope-intercept form for the line that passes through the point  ( -1 , -2 )  and is perpendicular to the line − 4 x − 3 y  =  − 5 is y = \frac{3}{4}x - \frac{5}{4}

<em><u>Solution:</u></em>

<em><u>The slope intercept form is given as:</u></em>

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Given that the line that passes through the point  ( -1 , -2 )  and is perpendicular to the line − 4 x − 3 y  =  − 5

Given line is perpendicular to  − 4 x − 3 y  =  − 5

− 4 x − 3 y  =  − 5

-3y = 4x - 5

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y = \frac{-4x}{3} + \frac{5}{3}

On comparing the above equation with eqn 1, we get,

m = \frac{-4}{3}

We know that product of slope of a line and slope of line perpendicular to it is -1

\frac{-4}{3} \times \text{ slope of line perpendicular to it}= -1\\\\\text{ slope of line perpendicular to it} = \frac{3}{4}

Given point is (-1, -2)

Now we have to find the equation of line passing through (-1, -2) with slope m = \frac{3}{4}

Substitute (x, y) = (-1, -2) and m = 3/4 in eqn 1

-2 = \frac{3}{4}(-1) + c\\\\-2 = \frac{-3}{4} + c\\\\c = - 2 + \frac{3}{4}\\\\c = \frac{-5}{4}

\text{ substitute } c = \frac{-5}{4} \text{ and } m = \frac{3}{4} \text{ in eqn 1}

y = \frac{3}{4} \times x + \frac{-5}{4}\\\\y = \frac{3}{4}x - \frac{5}{4}

Thus the required equation of line is found

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Answer:

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