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Hunter-Best [27]
2 years ago
13

Which of the following is a result of shifting a circle with equation

Mathematics
1 answer:
Anna007 [38]2 years ago
6 0

Answer:

Hello,

Answer C

Step-by-step explanation:

x'=x

y'=y+4

(x-1)²+(y-4)²=16

(x'-1)²+(y'-8)²=16

is the circle of center (1,5) and radius 4

<u>The y-coordinate of the center of the circle increases by 4.</u>

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5. 3x + 5y + 5z =1<br> x - 2y = 5<br> 2x + 4y = 11
lilavasa [31]

Answer:

see explanation

Step-by-step explanation:

Given the 3 equations

3x + 5y + 5z = 1 → (1)

x - 2y = 5 → (2)

2x + 4y = 11 → (3)

Use (2) and (3) to solve for x and y

Multiply (2) by 2

2x - 4y = 10 → (4)

Add (3) and (4) term by term

4x = 21 ( divide both sides by 4 )

x = \frac{21}{4\\}

Substitute this value of x into (3)

2 × \frac{21}{4\\} + 4y = 11

\frac{21}{2\\} + 4y = 11 ( subtract \frac{21}{2\\} from both sides )

4y = \frac{1}{2} ( divide both sides by 4 )

y = \frac{1}{8\\}

Substitute the values of x and y into (1) and solve for z

3 × \frac{21}{4\\} + 5 × \frac{1}{8\\} + 5z = 1

\frac{63}{4} + \frac{5}{8} + 5z = 1

\frac{131}{8} + 5z = 1 ( subtract \frac{131}{8} from both sides )

5z = - \frac{123}{8} ( divide both sides by 5 )

z = - \frac{123}{40}

Solution is

x = \frac{21}{4\\}, y = \frac{1}{8\\}, z = - \frac{123}{40}

3 0
2 years ago
A ball has a diameter of 12 inches. What is the value of the ball?
Vedmedyk [2.9K]

I'm really bad at math so can you help me with that

3 0
3 years ago
What is the least common denominator of the fractions 4/15 1/6 and 3/4
Alexus [3.1K]

Answer:

60

Step-by-step explanation:

We have to find least common denominator for these fractions or we just have to find the least common multiple for 15, 6 and 4

In order to find the least common multiple, we have to represent these numbers as factors of prime numbers:

15 = 3 * 5

6 = 2 * 3

4 = 2 * 2

Least common multiples will be common factors (considering that there are no more than of them in other numbers) and the uncommon factors. Then, we can write that:

2 * 2 * 3 * 5 = 60 (there are two 2's, one common 3 and an uncommon 5)

The denominator will be 60 for the least common multiples.

5 0
3 years ago
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Todd swam his race in 26.785 seconds while Frank swam his race in 29.07 seconds. What was the difference in their times?
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All you got to do is subtract. 2.285
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3 years ago
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The width of the rug is 10 feet. <br><br> True<br><br><br> False
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That could be true but could you provide a picture so we know what rug your talking abt
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