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klasskru [66]
3 years ago
9

Simplify both please thank you

Mathematics
1 answer:
Molodets [167]3 years ago
3 0
Hang on im trying...
You might be interested in
30 POINTS AVAILABLE
kherson [118]

Answer:

\large\boxed{(x-2)^2+(y-1)^2=34}

Step-by-step explanation:

The equation of a circle in standard form:

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

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

Substitute:

h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates of the points (2, 1) and (5, -4):

r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}

Finally we have:

(x-2)^2+(y-1)^2=(\sqrt{34})^2

3 0
4 years ago
How do you solve this equation?
Ivenika [448]
To solve this question, what you would need to do is add 30 to both sides of the equation and then divide by 9, to find the solution.

You can check if it is correct by substituting the same value back into the original equation and seeing if the left hand side is equal to the right hand side.
7 0
3 years ago
Read 2 more answers
When Mohammed was born, the baby was 21 inches tall. at his last check up, he was 38 inches tall. what is the percent increase i
denis23 [38]

Answer:

80.95

Step-by-step explanation:

Percentage increase = \frac{New Value - Old Value}{Old Value} *100

=> (38-21)* 100/21 = 80.9523%

The answer round it to the nearest 100th = 80.95%

5 0
3 years ago
The product of two integers is 96. One of them is-12, find the other numbers​
miss Akunina [59]

Answer:

-8

Step-by-step explanation:

let the other number be x

according to the question equation is

-12x = 96

x = 96/-12

x = -8

4 0
3 years ago
Read 2 more answers
What is the slope help pls?
vodka [1.7K]

Answer:

up 1 over 7 (1,7) 1 = x and 7 = y

Step-by-step explanation:

0 plus 1 is 1. 1 plus 1 is 2. 2 plus 1 is 3. 3 plus 1 is 4

-6 plus 7 is 1. 1 plus 7 is 8. 8 plus 7 is 15. 15 plus 7 is 22

7 0
3 years ago
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