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Stells [14]
3 years ago
9

How do you get the area of quarter of a circle

Mathematics
1 answer:
topjm [15]3 years ago
4 0
Find the circumference of the whole circle,divide by 4,and then add the radius twice.
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Solve each quadratic equation by completing the square. 6. x2 + 2x = 8 7. x2 - 6x = 16 8. x2 - 18x = 19 9. x2 + 3x = 3 10. x2 +
Andrei [34K]
Lets get started :)

These questions have asked us to solve by completing the square.
How do we? I have attached a picture, which will explain

6. x² + 2x = 8
→ b is the coefficient of x, which is 2
→ We take half of 2 and square it. Then, we add it to either side

x² + 2x + (\frac{2}{2} )^2 = 8 + ( \frac{2}{2})^2
x² + 2x + 1 = 8 + 1
( x + 1 )( x + 1 ) = 9
( x + 1 )² = 9
\sqrt{( x + 1 )^2} = \sqrt{9}
x + 1 = + 3 or x + 1 = - 3
    x = 2     or     x = - 4

7. x² - 6x = 16

→ We do the same thing we did in the previous question

x² - 6x + (\frac{6}{2})^2 = 16 +  (\frac{6}{2})^2 
x² - 6x + 9 = 16 + 9
(x - 3)² = 25
\sqrt{(x-3)^2} =  \sqrt{25}
x - 3 = + 5 or x - 3 = - 5
   x = 8      or       x = - 2

8. x² - 18x = 19

x² - 18x + ( \frac{18}{2} )^2 = 19 + ( \frac{18}{2})^2
x² - 18x + 81 = 19 + 81
( x - 9 )( x - 9 ) = 100
( x - 9 )² = 100
\sqrt{(x-9)^2} =  \sqrt{100}
x - 9 = + 10 or x - 9 = -10
   x = 19      or      x = - 1

9. x² + 3x = 3

x² + 3x + ( \frac{3}{2} )^2 = 3 +  (\frac{3}{2} )
x^2 + 3x +  \frac{9}{4} = 3 +  \frac{9}{4}
x^{2} + 3x +  \frac{9}{4} =  \frac{21}{4}
(x^2 +  \frac{3}{2} ) ( x^2 +  \frac{3}{2} ) =  \frac{21}{4}
( x^2 + \frac{3}{2} )^2 =  \frac{21}{4}
\sqrt{ x^2 + \frac{3}{2} } =  \sqrt{ \frac{21}{4} } 
x +  \frac{3}{2} = + \frac{ \sqrt{21} }{2} or x +\frac{3}{2} = -  \frac{ \sqrt{21} }{2}
x = \frac{-3+ \sqrt{21} }{2} or x = \frac{-3 - \sqrt{21}}{2}


7 0
3 years ago
What is the absolute value of -5+9
sleet_krkn [62]
The answer is 4
This is because |-5+9|=|-4| which equals 4
5 0
3 years ago
Sara is 5 ft 10 in tall. To the nearest centimeter how tall is Sara? If 1 inch equals 2.54 centimeters
Novay_Z [31]

Answer:

<em>S</em><em>A</em><em>R</em><em>A</em><em>'</em><em>S</em><em> </em><em>h</em><em>e</em><em>i</em><em>g</em><em>h</em><em>t</em><em> </em><em>i</em><em>s</em><em> </em><em>2</em><em>2</em><em>.</em><em>7</em><em> </em><em>c</em><em>m</em>

Step-by-step explanation:

if 1 inch equals 2.54 cm then 5ft will be:

=5*2.54

=12.7 cm

therefore, sara's height in centimeter:

=12.7+10

=22.7 cm

3 0
3 years ago
Read 2 more answers
Giving Brainiest ~~ :)
Gre4nikov [31]
Hi, I think what you need to do is multiply 21 x 4 x 1/3. If you need help multiplying there’s a helpful website called Calculator Soup that is very helpful.
8 0
1 year ago
Read 2 more answers
Tracy was given a bag of 250 colored marbles .She randomly chose marble , recorded its color in the table ,and returned it to th
jok3333 [9.3K]

Answer:

Did you ever figured it out?

Step-by-step explanation:

?

5 0
3 years ago
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