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Fed [463]
3 years ago
5

If you transform x 2 + y 2 = 25 into 4x 2 + 4y 2 = 25, which option below describes the effect of this transformation on the rad

ius?
a. It divides the radius by 4.
b. It multiplies the radius by 4.
c. It divides the radius by 2.
d. It multiplies the radius by 2.
Mathematics
2 answers:
FromTheMoon [43]3 years ago
5 0

<em><u>Answer</u></em>


c. It divides the radius by 2.



<em>Explanation</em>

The general equation of a circle is

(x-h)² + (y-k)² = r²

Where (h, k) makes the coordinates of the circle and r the radius.


x² + y² = 25 For this equation,


center (0, 0)

Radius = √25 = 5


4x² + 4y² = 25 First simplify this equation

4x² + 4y² = 25 ⇒ x² + y² = 25/4


center (0, 0)

Radius = √(25/4) = 5/2


The radius has been divided by 2


lesya692 [45]3 years ago
4 0

Answer:

C

Step-by-step explanation:

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3 years ago
Last year, Maria had $10,000 to invest. She invested some of it in an account that paid 6% simple interest per year, and she inv
denis-greek [22]

Answer:

$3,000 invested at 6%

$7,000 invested at 10%

Step-by-step explanation:

Maria had total $10,000 to invest.

Let x be the amount that Maria invested initially at 6% interest rate.

0.06x

Then she invested the remaining amount at 10% interest rate.

0.10(10,000 - x)

She received a total of $880 in interest.

0.06x + 0.10(10,000 - x) = 880

0.06x + 1000 - 0.10x = 880

-0.04x = 880 - 1000

-0.04x = -120

0.04x = 120

x = 120/0.04

x = $3,000

This is the amount that Maria invested initially at 6% interest rate.

The remaining amount is

10,000 - 3,000

$7,000

This is the remaining amount that she invested at 10% interest rate.

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3 years ago
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7 0
3 years ago
Kelly and Greta are asked to write an equation for the scenario below. "One person was able to plant 4 trees in the same amount
Alina [70]

Answer:

y=\dfrac{1}{4}x

Kelly is correct.

Step-by-step explanation:

One person is able to plant 4 trees

Let x be the number of people

y be the number of trees

The situation is represented by

1x=4y\\\Rightarrow y=\dfrac{1}{4}x

5 people are able to plant 20 trees

5x=5(4y)\\\Rightarrow 5x=20y\\\Rightarrow y=\dfrac{5x}{20}\\\Rightarrow y=\dfrac{1}{4}x

So, the situation is represented by y=\dfrac{1}{4}x

Hence, Kelly is correct.

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3 years ago
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Nookie1986 [14]

Answer:

f(1)=34 ; f(n)= f(n-1) +6, for n >2

Step-by-step explanation:

arithmetic sequence

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