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Rina8888 [55]
3 years ago
11

Identify the equation of the circle that has its center at (16, 30) and passes through the origin

Mathematics
1 answer:
Veronika [31]3 years ago
4 0

To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:

(x - 16)^2 + (y - 30)^2 = 1156

Equation of a circle:

The equation of a circle with center (x_0, y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

Center at (16, 30)

This means that x_0 = 16, y_0 = 30

Thus

(x - 16)^2 + (y - 30)^2 = r^2

Passes through the origin:

We use this to find the radius squared, as this means that x = 0, y = 0 is part of the circle. Thus

(x - 16)^2 + (y - 30)^2 = r^2

(0 - 16)^2 + (0 - 30)^2 = r^2

r^2 = 16^2 + 30^2 = 1156

Thus, the equation of the circle is:

(x - 16)^2 + (y - 30)^2 = 1156

For another example to find the equation of a circle, you can look at brainly.com/question/23719612

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Ralph and his brother are at a carnival. They separate from each other at the Ferris wheel at 1:00 PM, and they agree that they
4vir4ik [10]

Answer:

Joe mama

Step-by-step explanation:

Ralph is a weird name so that would be only because Joe mama.

Ralph died on the ferris wheel by decapitation.

4 0
3 years ago
Read 2 more answers
In ΔUVW, w = 3 inches, ∠W=23° and ∠U=73°. Find the length of u, to the nearest 10th of an inch.
kirza4 [7]

Answer:

<h2>7.4inches</h2>

Step-by-step explanation:

Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.

According to the rule;

\frac{u}{sinU} =  \frac{v}{sinV} = \frac{w}{sinW}\\\frac{u}{sinU} = \frac{w}{sinW}

Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;

\frac{u}{sin73^{0} } = \frac{3}{sin23^{0} }\\usin23^{0} = 3sin73^{0}\\u = \frac{3sin73^{0} }{sin23^{0} }\\u = \frac{2.87}{0.39} \\u = 7.358\\u = 7.4in

The length of u is 7.4inches to nearest 10th of an inch

6 0
3 years ago
Urgent!!!!pleasehelp
gavmur [86]

Answer:

y + 2 = -2(x - 3)^2

Step-by-step explanation:

We can see immediately that the vertex is at (3, -2).  

The vertex form of the equation of a parabola is

y - k = a(x - h)^2.

If the parabola opened upward, the equation would be y + 2 = 2(x - 3)^2.  But seeing that this particular parabola opens downward, the equation is

y + 2 = -2(x - 3)^2.

Check:  Does the point (2, -4) satisfy this equation?

-4 + 2 = -2(2 - 3)^2 becomes -2 = -2(-1)^2, which is true.

3 0
3 years ago
14. A rectangle has a width described by the expression (x2 + 2x – 15)/x and a length described by the expression
tensa zangetsu [6.8K]

Answer:

The answer to your question is Perimeter = [4x³ + 14x² + 50x - 150] / x(5 + x)

Step-by-step explanation:

Data

Width = (x² + 2x - 15)/x

Length = (3x² + 4x)/ (5 + x)

Process

1.- Write the formula for the perimeter of a rectangle

Perimeter = 2W + 2L

2.- Substitution

Perimeter = 2(x² + 2x - 15)/x + 2(3x² + 4x)/(5 + x)

3.- Simplification

Perimeter = (2x² + 4x - 30)/x + (6x² + 8x)/(5 + x)

4.- Sum the fractions

Least common factor = x(5 + x)

Perimeter = [(2x² + 4x - 30)(5 + x) + (x(6x² + 8x)] / x(5 + x)

-Simplification

Perimeter = [10x² + 20x - 150 - 2x³ - 4x² + 30x + 6x³ + 8x²] / x(5 + x)

Perimeter = [4x³ + 14x² + 50x - 150] / x(5 + x)

8 0
3 years ago
Question 7 of 8 Which expressions describe the area of the shaded region? Select all that apply. A rectangle is divided into 12
SSSSS [86.1K]

Answer:

D. 1 4 × 1 3 E. 4 12 × 3 6

Step-by-step explanation:

D. 1 4 × 1 3 E. 4 12 × 3 6

4 0
3 years ago
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