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3 years ago

The circle below is centered at the point (3,1) and has a radius length of 2.What is its equation

Mathematics

1 answer:

hammer [34]3 years ago

7 0

Answer:

C. $(x-3)^2+(y-1)^2=2^2$

Step-by-step explanation:

The standard equation of a circle, given the radius r units and center (h,k) is given by:

$(x-h)^2+(y-k)^2=r^2$

From the question, we have the center of the circle to be (3,1) and the radius is 2 units.

We substitute the center and radius of the circle into the equation to get:

$(x-3)^2+(y-1)^2=2^2$

The correct answer is C

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Given f ( x ) = 3 x 2 + k x − 13 f(x)=3x 2 +kx−13, and the remainder when f ( x ) f(x) is divided by x + 4 x+4 is 15 15, then wh

Varvara68 [4.7K]

Answer:

k=5

Step-by-step explanation:

We are provided with function, f ( x ) = 3 $x^{2}$ + kx − 13

which is divided by x+4 gives 15.

Here,

since f(x) is divided by x+4 so we can put :

x+4 = 0

x= -4

Putting this in f(x) -----> f(-4)

f(x) = f(-4) = 3 ( $-4^{2}$ ) + k(-4) − 13

f(-4) = 3(16) - 4k - 13

f (-4) = 48 - 4k - 13 ------------------------------------------Equation 1

Since, when f(x) is divided by x+4 , the remainder is 15 so we can say,

f(-4) = 15

putting in equation 1

f (-4) = 15 = 48 - 4k - 13

48 -4k - 13 = 15

35 - 4k = 15

35 - 15 = 4k (Moving - 4k on right hand side and 15 on the left)

or 20 = 4k

or 4k = 20

k = $\frac{20}{4}$

4 0

3 years ago

Which symbol correctly compares these fractions? 3 7 ___ 5 14 < > = ×

GarryVolchara [31]

$\frac{3}{7}$ is more than $\frac{5}{14}$ , because:
$\frac{3}{7}$ = $\frac{6}{14}$
6>5

So, the correct sign for this is >.
Have a great day! ♪

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3 years ago

The sum of three numbers is 10. The first number minus the second number plus the third is 6. The first minus the third is 2 mor

GenaCL600 [577]

So the answer is 6,0,4.

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3 years ago

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Andrei [34K]

Answer:

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Step-by-step explanation:

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Donna needs to memorize words on a vocabulary list for Korean class. She has memorized 36 of the words, which is three-fourths o

Taya2010 [7]

Hi There!

Donna needs to memorize words on a vocabulary list for Korean class. She has memorized 36 of the words, which is three-fourths of the list. How many words are on the list

36 / 3 = 12

12 * 4 = 48

There are 48 words on the list.

Hope This helps :)

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3 years ago

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