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2 years ago

Write an equation of the circle with center (-6, 2) and diameter 10.

Mathematics

1 answer:

marshall27 [118]2 years ago

6 0

Solution:

We know that the formula to write the equation of a circle is (x – h)² + (y – k)² = r², where h is the x coordinate, k is the y-coordinate, r is the radius of circle, and the center of circle is (-6,2).

Finding the radius of the circle.

Diameter: 10 units
Radius: 10/2 units = 5 units

Creating the equation:

(x – h)² + (y – k)² = r²
=> (x + 6)² + (y – 2)² = 5²

The equation is (x + 6)² + (y – 2)² = 5².

Learn more: brainly.com/question/26573763

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B. Using your answer in letter a or write the equation of the line in the form Ax + By = C

Svetradugi [14.3K]

Answer:

Step-by-step explanation:

(1, 5.5) ; (2, 9)

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\$

$= \frac{9-5.5}{2-1}\\\\=\frac{3.5}{1}\\\\= 3.5$

= 7/2

m = 7/2 ; (2 , 9)

y - y1 =m(x -x1)

$y - 9 = \frac{7}{2}(x- 2)\\\\y - 9 = \frac{7}{2}x - \frac{7}{2}*2\\\\y -9 = \frac{7}{2}x - 7\\\\y = \frac{7}{2}x - 7 + 9\\\\y = \frac{7}{2}x + 2$

Multiply the equation by 2

$2y = 2*\frac{7}{2}x + 2 *2\\\\2y = 7x + 4\\\\7x - 2y = -4\\$

4 0

3 years ago

How to tell if a table is a exponential decay function an exponential growth function or neither

aliya0001 [1]

Answer:

Exponential function: a*b^x

if B is less than 1, it is a decay function

if B is more than 1, then it is a growth function

if B is 0, then the function neither decreases nor increases

Example 1: 100*0.14^x

The y-intercept is decreasing by 86%

Example 2: 3000*1.14^x

The y-intercept is increasing by 14%

Example 3: 400*0

The y-intercept is neither decreasing nor increasing

Going back to the function, a is the y-intercept, and b is the rate

I hope this will help you, I just started to learn about exponential functions..

5 0

2 years ago

Six more than the product of 10 and craig’s score

maw [93]

Answer:

6+10x

Step-by-step explanation:

if x=craigs score that becomes 6+10 times x or 6+10x

4 0

3 years ago

The output of an economic system Q, subject to two inputs, such as labor L and capital K, is often modeled by the Cobb-Dougl

Anna35 [415]

Answer:

Step-by-step explanation:

Given

Economic system Q is given by

$Q=cL^aK^b$

also $a+b=1$

if $Q=12,200$

$a=\frac{1}{6}$

$b=\frac{5}{6}$

$c=42$

substitute these values

$12,200=42\times (L)^{\frac{1}{6}}K^{\frac{5}{6}}$

$(L)^{\frac{1}{6}}K^{\frac{5}{6}}=\frac{12,200}{42}$

$K^{\frac{5}{6}}=\frac{12,200}{42(L)^{\frac{1}{6}}}$

$K=(\frac{12,200}{42})^{\frac{6}{5}}\times \frac{1}{L^{5}}$

differentiate w.r.t to L to get $\frac{dK}{dL}$

$\frac{dK}{dL}=(\frac{12,200}{42})^{\frac{6}{5}}\times (-5)\times L^{-6}$

$\frac{dK}{dL}=-5(\frac{12,200}{42})^{\frac{6}{5}}\times \frac{1}{L^6}$

$\frac{dK}{dL}=-\frac{4515.466}{L^6}$

6 0

3 years ago

Seth buys last year's best-selling novel, in hardcover, for $13.30$⁢13.30. this is with a 30%30% discount from the original pric

Nadusha1986 [10]

The answer is $19.00

8 0

3 years ago