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3 years ago

Express each equation in slope-intercept form. -2x+4y=68, 13x+4y=284

1 answer:

8 0

To get the answer we have to tranform into y=ax+b form
-2x+4y=68 /+2x
4y=2x+68 /:4
y= $\frac{1}{2} x+17$ - its the result

13x+4y=284 /-13x
4y=-13x+284 /:4
y= $- \frac{13}{4}+ 71$
y=- $3 \frac{1}{4}x+71$ - its the result

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the equation of a circle in general form is x squared + y squared + 20x + 12 y + 15 equals 0what is the equation of the circle i

Marrrta [24]

Answer: $(x+10)^2+(y+6)^2=121$

Step-by-step explanation:

The equation of a circle in the general form is:

$ax^{2}+by^2+cx+dy+e=0$

The equaton of a circle in standard form is:

$(x-h)^2+(y-k)^2=r^2$

Where the center is at <em>(h, k)</em> and <em>r</em> is the radius

To write the equation of a circle from general form to standard form, you must complete the squaare, as you can see below:

1- Given the equation in general form:

$x^{2}+y^2+20x+12y+15=0$

2- Complete the square:

-Group the like terms and move the constant to the other side.

- Complete the square on the left side of the equation.

- Add the same value to the other side.

Then you obtain:

$(x^{2}+20x)+(y^2+12y)=-15\\(x^2+20x+(\frac{20}{2})^2)+(y^2+12y+(\frac{12}{2})^2)=-15+(\frac{20}{2})^2+(\frac{12}{2})^2\\\\(x+10)^2+(y+6)^2=-15+100+36\\(x+10)^2+(y+6)^2=121$

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3 years ago

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Reil [10]

Answer:

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Step-by-step equation:

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3 years ago

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creativ13 [48]

Answer:

Step-by-step explanation:

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2 years ago

A 24 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece

Anastaziya [24]

F=length of first piece=x; S=length of second piece=2x

T=length of third piece=3x

F+S+T=24 inches

x+2x+3x=24 inches

6x=24in

F=x=4in

ANSWER 1: The length of the first piece is 4 inches.

S=2x=2(4in)=8in

ANSWER 2: The length of the second piece is 8 inches.

T=3x=3(4in)=12 inches.

ANSWER 3: The length of the third piece is 12 inches.

CHECK:

F+S+T=24in

4in+8in+12in=24in

24in=24in

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2 years ago

The function y=2.50x+20 can be used to determine the cost in dollars for the rental of x games for game store members. What is t

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Answer: I think it’s d but I’m not sure

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