All categories

3 years ago

Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.

Mathematics

1 answer:

kogti [31]3 years ago

4 0

Answer:

Step-by-step explanation:

Standard form for a circle is

(x - h)² + (y - k)² = r²

where (h, k) is the center and r is the radius

--------------------------------

x² + y² - 18x + 24y = -200

Rearrange

(x² - 18x) + (y² + 24y) = -200

Complete the square for x

(x - 9)² + (y² + 24y) = -200 + (-9)²

Complete the sqaure for y

(x - 9)² + (y + 12)² = -200 + (-9)² + 12²

(x - 9)² + (y + 12)² = 25

Now the equation is in standard form

r² = 25

r = 5

Therefor Diameter = 10

You might be interested in

5th grade math. Correct answer will be marked brainliest.

dsp73

Answer:

0.65

Step-by-step explanation: Please brainliest!

3 0

2 years ago

Read 2 more answers

What is -2(4n - 1) +15<br> I think that it is -8n - 13 but i am not sure plz help

ANEK [815]

Answer: Your right!

-8n-13

Step-by-step explanation:

-2(4n-1)+15=

-8n+2-15

Combine like terms- 2-5= -13

so -8n-13

8 0

3 years ago

A quality control officer is randomly checking the weights of pumpkin seed bags being filled by an automatic filling machine. Ea

grandymaker [24]

If a bag of pumpkin seeds must weigh within 2.1 grams in order to be accepted, each bags must weigh between (400-2.1) grams and (400+2.1) grams. This means that if a bag weighs less than 397.9 grams (x<397.9) or more than 402.1 grams (x>402.1) it will be rejected. Therefore, 397.9>x>402.1 is the range of rejected bags.

8 0

3 years ago

Read 2 more answers

Help help help pls :)

kykrilka [37]

Answer:

$opposite\approx 70.02$

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

$sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}$

Please note that the names ( $opposite$ ) and ( $adjacent$ ) are subjective and change depending on the angle one uses in the ratio. However the name ( $hypotenuse$ ) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent ( $tan$ ) ratio.