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ycow [4]
3 years ago
12

Which pair of number is relative prime 7 and 42 16 and 39 66 and 77 90 and 891

Mathematics
1 answer:
Ann [662]3 years ago
4 0
The relative prime pair is 16 and 39.

This is because between the two numbers their greatest common factor is 1.

Factors of 16 are 1, 2, 4, 8, 16
Factors of 39 are 1, 3, 13, 39,

The rest of the pairs have more common factors than 1.

relative prime are also called coprime or strangers.
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Which equation represents the circle described?
faust18 [17]
ANSWER

{(x - 4)}^{2} +  {(y - 3)}^{2}  =   {2}^{2}

EXPLANATION

The equation of the circle with radius r and centre (a,b) is given by


(x - a)^{2}  +  {(x - b)}^{2}  =  {r}^{2}

The radius is

r = 2

We need to determine the center of the circle from the given equation of another circle, which is,


{x}^{2}  +  {y}^{2}  - 8x - 6y + 24 = 0


We complete the square to obtain,


{x}^{2}  - 8x+  {y}^{2}  - 6y + 24 = 0

{x}^{2}  - 8x+  {y}^{2}  - 6y  =  - 24
{x}^{2}  - 8x+  {( - 4)}^{2} +   {y}^{2}  - 6y  +  {( - 3)}^{2}  =  - 24 +  {( - 3)}^{2} +  {( - 4)}^{2}


{(x - 4)}^{2} +  {(y - 3)}^{2}  =  - 24 +  9+  16




{(x - 4)}^{2} +  {(y - 3)}^{2}  =  1


The centre of this circle is (4,3)


Hence the center of the circle whose equation we want to find is also (4,3).


With this center and radius 2, the required equation is,


{(x - 4)}^{2} +  {(y - 3)}^{2}  =   {2}^{2}


Therefore the correct answer is C.

3 0
3 years ago
Read 2 more answers
Question
dezoksy [38]

Answer:

the height of the triangle is 47 inches

4 0
3 years ago
Help if you get it right I will give you Brainliest
olga_2 [115]

Answer:

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8 0
3 years ago
Beth poured the same amount of juice into 1010 glasses. She used 22 quarts of juice. How much juice is in each glass?
lozanna [386]
22qt/1010gl=11/505 qt/glass
6 0
3 years ago
Statements
vazorg [7]

Answer:

See Explanation

Step-by-step explanation:

The question has unclear information.

So, I'll answer from scratch

Given

ABC = Right angled triangle

DB bisects ABC

Required

Prove that CBD = 45

From the question, we have that:

ABC is right angled at B

So, when DB bisects ABC, it means that DB divides ABC into two equal angles.

i.e.

CBD = ABD

and

CBD + ABD = 90

Substitute CBD for ABD in CBD + ABD = 90

CBD + CBD = 90

2CBD = 90

Divide both sides by 2

\frac{2CBD}{2} = \frac{90}{2}

CBD = \frac{90}{2}

CBD = 45

Hence, it is proved that CBD = 45

<em>Follow the above explanation and use it to answer your question properly</em>

6 0
2 years ago
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