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3 years ago

What is the equation of a circle with a center located at (-3, 4) and a diameter of 14?

Mathematics

1 answer:

AnnZ [28]3 years ago

7 0

Answer: (x + 3)^2 + (y - 4)^2 = 49

Step-by-step explanation:

The equation of a circle given the center and radius: (x - h)^2 + (y - k)^2 = r^2

Given: center (-3,4) ; h = -3 and k = 4

diameter = 14

To find the radius: divide the diameter by 2 = 14/2 = 7 = r

Center: (-3,4) and radius: 7

Equation of a circle: (x - h)^2 + (y - k) ^2 = r^2

Substitute h = -3, k = 4, r = 7

(x - (-3))^2 + (y - 4)^2 = 7^2

Answer:

Equation of the circle: (x + 3)^2 + (y - 4)^2 = 49

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How does finding the square root of a number compare to finding the cube root lf a number? Use the number 64 in your explainatio

xenn [34]

If you want to know the concept of square roots and cube roots ?

the square root of a number is that number which when multiplied by itself two times gives us that number

e.g.

√64 = x , so that (x)(x) = 64

and from our multiplication table we know that

(8)(8) = 64 , so that

√64 = 8

the cube root of a number is that number which when multiplied by itself three times gives us that number

e.g.

∛64 = x , so that (x)(x)(x) = 64 , and thus x = 4 because 4x4x4 = 64

so ∛64 = 4

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3 years ago

interest rate on a credit card is 15% if we charge $200 to the card, how much will we pay including the interest

san4es73 [151]

Answer:

$230

Step-by-step explanation:

15 percent of 200 is 30, add 30 to 200 which is 115%,

so 230.

5 0

3 years ago

What's the next ones?

hammer [34]

3.) 2 × 0.5 = 1 4.) -2 × -0.5 = 1

4 0

3 years ago

Which of the following is NOT an integer? 1,-3,0,0.25

Darya [45]

Answer:

0.25

Step-by-step explanation:

Fractions and decimals are not integers. Any and all whole numbers, 1, 2,3, 4, -1, -2, -3, -4 etc. are integers. 0.25 is a decimal and therefore not an integer.

Hope this helps and have a nice day!

3 0

2 years ago

Read 2 more answers

The cost for the raw materials of marble countertops, can be represented by the function , where is the area of the countertops.

Lady_Fox [76]

Answer:

$m(c(a)) = 4.8875a$

Step-by-step explanation:

The missing parameters are:

$c(a) = 4.25a$ --- Cost of marble countertops

$m(c) = 1.15c$ --- Cost of retail markup

Required

The cost of marked up price

This implies that we calculate m(c(a))

We have:

$c(a) = 4.25a$

$m(c) = 1.15c$

$m(c) = 1.15c$ can be written as:

$m(c(a)) = 1.15*c(a)$

Substitute: $c(a) = 4.25a$

$m(c(a)) = 1.15*4.25a$

$m(c(a)) = 4.8875a$

Hence, the cost of marked up price is: $m(c(a)) = 4.8875a$

5 0

2 years ago