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NeTakaya
3 years ago
5

What’s the angle measure? X=18

Mathematics
1 answer:
FrozenT [24]3 years ago
6 0

Answer:

Since =18 is a vertical line, there is no y-intercept and the slope is undefined.

Slope: Undefined

y-intercept: No y-intercept

Step-by-step explanation:

I hope it helpes u

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Read 2 more answers
Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)
Murljashka [212]

Answer:

Equation of circle is: \mathbf{(x+1)^2+(y-5)^2=28.94}

Step-by-step explanation:

We need to find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)

Endpoints of a diameter A(−6, 3) and B(4, 7)

The general equation of circle is: (x-h)^2+(y-k)^2=r^2

Where r is radius and (h,k) is centre of circle.

Finding centre of circle

The midpoint of diameter is centre of circle.

So, finding midpoint of A(−6, 3) and B(4, 7)

The formula used is: Midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )

We have x_1=-6, y_1=3, x_2=4, y_2=7

Midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\\Midpoint=(\frac{-6+4}{2} ,\frac{3+7}{2} )\\Midpoint=(\frac{-2}{2} ,\frac{10}{2} )\\Midpoint=(-1 ,5)

So, we get Midpoint (x,y)=(-1,5)

Finding radius of circle

Radius of circle can be found by first finding diameter using distance formula and then divide it by 2.

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Distance=\sqrt{(4-(-6))^2+(7-3)^2} \\Distance=\sqrt{(4+6)^2+(7-3)^2} \\Distance=\sqrt{(10)^2+(4)^2} \\Distance=\sqrt{100+16}\\Distance=\sqrt{116}\\Distance = 10.77

So, Diameter = 10.77

Radius = Diameter/2 = 5.38

Equation of circle

Equation of circle having centre(-1,5) and radius r = 5.38 is:

(x-h)^2+(y-k)^2=r^2\\(x-(-1))^2+(y-5)^2=(5.38)^2\\(x+1)^2+(y-5)^2=28.94

So, Equation of circle is: \mathbf{(x+1)^2+(y-5)^2=28.94}

4 0
3 years ago
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