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Setler79 [48]
3 years ago
15

Drag the numbers to order them from least to greatest. 0.9, −2.4, −0.8, 1.6, 0.2

Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0
The answer is -2.4, -0.8,0.2,0.9,1.6
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Find the standard form of the equation of the circle with endpoints of a diameter at the points (3,8) and (-7,2)
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(x+2)^{2}+(y-5)^{2}= 34

The equation of a circle in standard form is

(x-a)^{2}+(y-b)^{2}=r^{2}

where (a , b) are the coordinates of the centre and r is the radius

The centre is at the midpoint of the endpoints and the radius is the distance from the centre to either of the 2 endpoints

Using the midpoint formula

midpoint = [\frac{1}{2}(xx_{1}+x_{2}, \frac{1}{2}(y_{1}+y_{2}

where (x_{1},y_{1}=(3,8) and (x_{2},y_{2}=(-7,2)

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Calculate r using the distance formula

r = √(x_{2}-x_{1})²+(y_{2}-y_{1})²)

= √((3+2)²+(8-5)²) = √(25+9) = √34 ⇒ r² =(√34)² = 34

equation of circle is : (x+2)²+(y-5)² = 34


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