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Basile [38]
3 years ago
11

What is the standard form of the equation of a circle whose diameter is 20 units and whose center is (−1,7)?

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
4 0

Answer:

(x + 1)^2 + (y - 7)^2 = 100

Step-by-sep explanation:

Given:

Diameter of circle = 20 units

Center of circle = (-1, 7)

Standard form of the equation of a circle is expressed in the center-radius form as:

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

Where,

h = -1

k = 7

r = ½ of diameter = ½(20) = 10 units

Plug in the values into the equation

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

(x - (-1))^2 + (y - 7)^2 = 10^2

(x + 1)^2 + (y - 7)^2 = 100

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Lines m and n are parallel solve for the following values of x. Tell which theorem you used.
nevsk [136]

Answer:

x=60°

Step-by-step explanation:

angle 135° and (2x+15)° are corresponding and thus are equal

Therefore (2x+15)°=135°

2x=135-15

2x=120°

X=60°

8 0
2 years ago
Plases help<br> Determine the number of solutions of each system of equations.
koban [17]

Answer:

Step-by-step explanation:

this is the same equation, the system has infinitely many solutions

5 0
2 years ago
A the slope of f(x) is greater than the slope of g(x)
Komok [63]

To find the slope of g(x), use the slope formula(m):

m=\frac{y_2-y_1}{x_2-x_1}        And plug in two points, I will use:

(0, 2) = (x₁, y₁)

(5, 4) = (x₂, y₂)

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{4-2}{5-0}

m=\frac{2}{5}

You could do the same to find f(x) by finding two points and using the slope formula, or you could use this to tell visibly:

m=\frac{rise}{run}

Rise is the number of units you go up(+) or down(-) from each distinguished point

Run is the number of units you go to the right from each distinguished point

If you look at the graph, you can see the points (0, -1) and (3, 1). From each point, you go up 2 units and to the right 3 units (you can make sure by using another point). So the slope of f(x) is  \frac{2}{3}

Whichever line looks more vertical(and is positive) has the greater slope. So the slope of f(x) is greater than the slope of g(x). The answer is option A

7 0
3 years ago
Which graph represent the solution set of y=x^2+4x+3 and y=2x+6
Mamont248 [21]

Answer:

solution set are

(-3,0)

(1,8)

Step-by-step explanation:

we are given system of equation as

y=x^2+4x+3

y=2x+6

For finding solution set , we can draw graph of both equations

and then we can find intersection point

the intersection point will be our solution set

we get graph  as

So, solution set are

(-3,0)

(1,8)


4 0
2 years ago
What is (f*g)(x)? f(x)=x^4-9, g(x)=x^3+9
sladkih [1.3K]
(x^4 - 9)(x^3 + 9)
This is a binomial * binomial. Use the FOIL method for multiplying.
First, outer, inner, last.
x^4 * x^3 = x^7
x°^4 * 9 = 9x^4
-9 * x^3 = -9 x^3
-9 * 9 = -81
Putting it back together.
x^7 +9x^4 -9x^3 - 81
3 0
2 years ago
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