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3 years ago

Loo at the picture! Need help!

Mathematics

2 answers:

tensa zangetsu [6.8K]3 years ago

7 0

The answer is D
25 + 60i

loris [4]3 years ago

4 0

The correct answer would be D. 25 + 60i

Hope I helped you today :)

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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

-1 /5 ÷ 1 /2 = <br> Plz help answer this

Pani-rosa [81]

-1 /5 ÷ 1 /2

-1/5 X 2/1

-2/5 or -0.4

Hope this helps! ;)

4 0

3 years ago

Read 2 more answers

Divide 4 equal bagels by 5 people

fgiga [73]

Each person would get .8 of a bagel

8 0

3 years ago

Can I get someone to help me on this please

Vera_Pavlovna [14]

i think its the second graph

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4 years ago

12 POINTS<br> FIND THE MISSING LENGTH OF THE ANGLE

Aleks04 [339]

Sorry if wrong but here I go
so basically
you need to find the scale factor so
14/10=1.4 and 21/15=1.4

so I take the scale factor 1.4 and divide by 20
20/1.4= about 14.25 or to be exact 14.2857142857

5 0

4 years ago