All categories

3 years ago

Write the standard equation of the circle shown.

Mathematics

1 answer:

zysi [14]3 years ago

4 0

Answer:

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ← r is the radius

The circle shown is centred at the origin and has a radius of 5, thus

x² + y² = 5² ⇒ x² + y² = 25 → b

You might be interested in

Mrs. Hartill drove 3.1 miles to the grocery store, then 4.25 miles to the salon, and 10.8 miles to her sons house. How many mile

Bad White [126]

Answer: 18.15 miles

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

What's the sum of 7/16 7/12 7/8 1 1/6??

Neporo4naja [7]

Make all fractions with a 48 denominator:
21/48 + 28/48 + 42/48 + 88/48
=179/48 = 3 (35/48)

5 0

3 years ago

Prime numbers less than 50

SVETLANKA909090 [29]

Answer:

2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,83,89,97

Step-by-step explanation:

those are the prime numbers

3 0

2 years ago

Read 2 more answers

What is the equation of the line in slope intercept form using these points?

deff fn [24]

Answer:

y = -x - 1

Step-by-step explanation:

1. The slope-intercept form of any linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. To find the slope given two points, we can use the formula $\frac{y_2-y_1}{x_2-x_1}$ and plug in the corresponding variable.

$\frac{5-(-2)}{-6-1}$
$\frac{5+2}{-7}$
$\frac{7}{-7}$
$-1$

3. Okay, so the slope is -1x or just -x. This means that the equation looks like this so far: y = -x + b

4. To find b, the y-intercept, we can take the equation of $b = y_1 - m * x_1$ and plug in the values!

$b = -2-(-1)*1$
$b = -2 + 1 * 1$
$b = -1 * 1$
$b = -1$

5. Now that we have our y-intercept and slope, let's plug in those values and find the equation!

$y = -x - 1$

Therefore, the equation of the line is y = -x - 1. I hope this helped you!

3 0

2 years ago

A company produces x units of a product per month, where c(x) represents the total cost and r(x) represents the total revenue fo

Nat2105 [25]

Answer:

The total profit P(x) or the month is $P(x)=-0.5x^2+500x-350$ .

Step-by-step explanation:

A company produces x units of a product per month.

The total cost represents by the function C(x).

$C(x)=300x+250$

The total revenue represents by the function R(x).

$R(x)=-0.5x^2+800x-100$

The profit is the difference between revenue and cost.

$P(x)=R(x)-C(x)$

$P(x)=-0.5x^2+800x-100-(300x+250)$

$P(x)=-0.5x^2+800x-100-300x-250$

Combine like terms.

$P(x)=-0.5x^2+(800x-300x)+(-100-250)$

$P(x)=-0.5x^2+500x-350$

Therefore, the total profit P(x) or the month is $P(x)=-0.5x^2+500x-350$ .

5 0

3 years ago