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3 years ago

Answer this question to get marked as barinliest!!!!!

Mathematics

1 answer:

kap26 [50]3 years ago

6 0

Here’s the answer and working out. Hope it helps

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WILL GIVE BRAINLIEST!

Nataly [62]

Answer:

The equation the circle is given by

${\bf 4x}^{\bf 2}+{\bf 4y}^{\bf 2}-{\bf 8x+0y-60}={\bf 0}$

Step-by-step explanation:

The general form of the circle is

$x^2+y^2+Dx+Ey+F=0\hfill (1)$

Given points are (5,0) , (0,4) and (2,4)

Let the points (5,0) , (0,4) and (2,4) be (x_1,y_1) , (x_2,y_2) and (x_3,y_3) respectively

The equation of the circle passes through given points (5,0) , (0,4) and (2,4)

Substituting the point (5,0) in (1)

$(-5)^2+(0)^2+D(5)+E(0)+F=0$

$25-5D+F=0$

$5D-F=25\hfill (2)$

Substituting the point (0,4) in

$(0)^2+(4)^2+D(0)+E(4)+F=0$

$16+4E+F=0$

$4E+F=-16\hfill (3)$

Substituting the point (2,4) in

$(2)^2+(4)^2+D(2)+E(4)+F=0$

$4+16+2D+4E+F=0$

$2D+4E+F=-20\hfill (4)$

By solving the equations (2) ,(3) and(4) we get the values of D,E and F as below

$D=-2$ , $E=0$ and $F=-15$

substituting the values of D,E and F in (1) we get

$x^2+y^2-2x+(0)y-15=0$

Now multiplying the above equation into 4 we get

$4x^2+4y^2-8x+(0)y-60=0$

6 0

3 years ago

2x + 3y = 12 solve for y

Zielflug [23.3K]

2x+ 3y=12
-2x -2x
3y=12-2x
Divide both sides by 3
Y=4-2/3 x

4 0

3 years ago

on a piece if paper graph y <-3/4x +2 Then determine which answer choice matches the graph you drew

vichka [17]

Answer: graph d for apex

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Kate hiked 14 miles in 6 hours. Which rate represents the number of miles traveled per hour? L

12345 [234]

Answer:

That would be 14 miles ÷ 6 hours which would be 2.3333 or 2 and 1/3

6 0

3 years ago

Please help me.i don't get it.

alukav5142 [94]

Answer:

See below.

Step-by-step explanation:

The addition method is a good choice in this case since you have x in one equation and -x in the other equation, and x and -x add to zero, eliminating x.

x - 5.5y = -14

-x + 2.6y = 8.2

Add the equations. x and -x ad to zero, eliminating x. Then solve for y.

-2.9y = -5.8

Divide both sides by -2.9

y = 2

Substitute 2 for y in the first original equation, and solve for x.

x - 5.5y = -14

x - 5.5(2) = -14

x - 11 = -14

x = -3

Solution: x = -3; y = 2

Since the coefficients of y in the two original equations are not opposites, the addition method would not be the best method to use to solve for y first.

4 0

3 years ago