All categories

3 years ago

Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle.

1 answer:

4 0

5x^2 + 5y^2 + 10x − y = 0 it is the same of 
x^2 + y^2 + 2x −1/5y = 0
and then 
(x + 1)^2 - 1+ (y−1/10)^2 -1/100=0
 (x + 1)^2 + (y −1/10)^2 =(101/100)

the center is C(-1, 1/10), and the radius is R= sqrt(101)/10

You might be interested in

Can someone help me with this problem?

Fynjy0 [20]

Answer is C) Dilate rectangle ABCD with a SF of 1/2 followed by a 180 degree rotation about the origin.

By dividing the sides of rectangle ABCD by the scale factor 1/2, the rectangle becomes the same size as rectangle A'B'C'D'.

Rotating rectangle ABCD by 180 degrees around the origin transforms the rectangle onto rectangle A'B'C'D.

5 0

3 years ago

Which value of x makes the open sentence true?

xeze [42]

Answer:

x=1/2 or 0.5

B. 0.5

Step-by-step explanation:

Step one: Add x to both sides

you then get the equation 7=4x+5

Step two: subtract 5 from both sides

you then get the equation 2=4x

Divide both sides by 4 to undo the multiplication.

2/4=4x/4x

you get x=2/4 which simplifies to 1/2.

7 0

3 years ago

Name the relationship of these angles

Julli [10]

1) linear pair
2) adjacent
3) adjacent
4) complementary
5) vertical
6) adjacent
7) linear pair
8) vertical

5 0

3 years ago

What is the slope of the line that passes through the points (-4, -7)and

dimulka [17.4K]

Answer:

-6.

Step-by-step explanation:

if A(-4;-7) and B(-2;-19), then the required slope can be calculated according to the next formula:

$s=\frac{Y_A-Y_B}{X_A-X_B}; \ s=\frac{-7+19}{-4+2}=-6.$

8 0

2 years ago

5. What property of equality is used to transform the equation from the first step to the second step?

Novay_Z [31]

Answer: The multiplication property of equality is used to transform the equation from the first step to the second step.

Explanation:

The multiplication property states that if any number is multiplied both side of a equation the equation doesn't change.

If x = y and we multiply both side by m, then xm = ym is equivalent to x = y.

The given expression is,

$\frac{x}{5}=2$

Use multiplication property of equality, multiply 5 both sides,

$x=2\times5$

$x=10$

Therefore, the multiplication property of equality is used to transform the equation from the first step to the second step.

3 0

3 years ago