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adell [148]
3 years ago
12

7) What is the equation of a circle with the center (-8, 9) and the radius of 10?​

Mathematics
1 answer:
lutik1710 [3]3 years ago
6 0

Answer:

<h3>(x+8)² + (y - 9)² = 100</h3>

Step-by-step explanation:​

The general equation of a circle is expressed as;

(x-a)² + (y - b)² = r² where;

(a, b) is the centre of the circle

r is the radius

Given

Centre (-8, 9) where a = -8, b = 9

radius r = 10

Substitute into the formula to get the required equation;

(x-(-8))² + (y - 9)² = 10²

(x+8))² + (y - 9)² = 10²

(x+8)² + (y - 9)² = 100

Hence the required equation is (x+8)² + (y - 9)² = 100

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Which of the following is an arithmetic sequence with common difference 2?
Dvinal [7]
D.

cause it’s adding two to get to the next one
3 0
3 years ago
7.4.PS-6
Sedaia [141]

Answer:

The area of the given polygon is:

  • <u>232 cm^2</u>

Step-by-step explanation:

To find the area of the polygon in the picture, you can divide the polygon in three rectangles: a 3 cm by 14 cm, a 5 cm by 14 cm rectangle, and the last rectangle must have a base of 12 cm (20 cm - 3 cm - 5 cm), and a height of 10 cm (14 cm - 4 cm). We can calculate the area of the rectangles with the formula below:

  • Area of a rectangle = Base * height

Now, we're gonna replace the measurements in the formula.

<em>First rectangle:</em>

  • Area of a rectangle = 3 cm * 14 cm
  • <u>Area of a rectangle = 42 cm^2</u>

<em>Second rectangle:</em>

  • Area of a rectangle = 5 cm * 14 cm
  • <u>Area of a rectangle = 70 cm^2</u>

<em>Third rectangle:</em>

  • Area of a rectangle = 12 cm * 10 cm
  • <u>Area of a rectangle = 120 cm^2</u>

By last, we must add the area of the rectangles:

  • Area of the polygon = 42 cm^2 + 70 cm^2 + 120 cm^2
  • <u>Area of the polygon = 232 cm^2</u>

As you can see, <em><u>the area of the polygon in the picture is 232 cm^2</u></em>.

5 0
3 years ago
How would you graph the following systems of equations ? <br><br> y= -3x -7<br> x- 2y=-14
andrey2020 [161]
Solve both formulas to y=mx+b (slope intercept formula) where m=slope and b=y-intercept

y=-3/1x+-7

x-2y=-14
-2y=-14-x
y=7+1/2x

Start with the b variable so for problem 1 put a dot on 0,-7 and for problem 2 put a dot on 0,7

Then from -7 for problem 1 depending on whether the slope is negative or positive go down 3 and over right 1 therefore another point for problem one is marked, at 1,-10; for problem 2 up 1 and to the right 2; 2,8

For problem one connect the dots of 0,-7 and 1,-10

For problem two connect the dots of 0,7 and 2,8
7 0
3 years ago
What is the range of the function f(x) = 1/2 square root of x ? Anyone
siniylev [52]

Answer:

The range is f(x) ≥ 0

Step-by-step explanation:

The range of the function is defined as the set of values of the dependent variable for which the function is defined.

Here the function f(x) = 1/2 √x is defined for all values of x which are greater than or equal to zero or we can say all non-negative real numbers.

So, the range is  f(x) ≥ 0

6 0
4 years ago
.........................................................................
vlabodo [156]

Answer:

Thanks for the free points.

Step-by-step explanation:

4 0
3 years ago
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