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Levart [38]
4 years ago
6

(x-5)²+ (y+7)²= 16. If the circle is shifted 3 units right, and 9 units up, what is the equation of the new circle?

Mathematics
2 answers:
Sati [7]4 years ago
6 0
The coordinates of the center of this circle are (5, -7), so moving the circle 3 units right would add 3 on to the x coordinate, making it (8, -7). Then, you have to move up 9 units, adding 9 on to -7 and giving your y coordinate as 2. This makes your final coordinates (8, 2), so your equation is:
(x - 8)² + (y - 2)² = 16

I hope this helps!
Vitek1552 [10]4 years ago
5 0
(x-8)^2+(y-2)^2=16
Hope this helps
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Answer:

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Step-by-step explanation:

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4 years ago
Please help it’s due tonight. Your help will be greatly appreciated.There is also a graph. WILL PUT YOU AS BRAINLY!!!!!!
chubhunter [2.5K]

Answer: see below

Step-by-step explanation:

The shape is a trapezoid

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A=\frac{10+14}{2} *5\\A=12*5\\A=60

Find distance between QB and HA

D=\sqrt{(x_{2} -x_{1}) ^{2}+(y_{2}-y_{1})  ^{2}

Q( -4,4)  B (-2,9)

D=\sqrt{(-2--4)^{2}+(9-4)^{2}  } \\D=\sqrt{2^{2} +5^{2} } \\D=\sqrt{29}

Perimeter

P=10+14+2\sqrt{29} \\P=24 +2\sqrt{29} \\P= 24+10.77\\P=34.77

5 0
3 years ago
Ralph buys a desk that regularly sells for $250 and a desk chair that regularly sells for $145. both items are on sale at 15% of
Lunna [17]
C) (0.85 + x/100)(250+145) does not give the correct answer.

Explanation
A) works; adding the two costs together is 250+145=395.  We multiply this by 0.85 because 100%-15%=85%=0.85.  We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00.  Altogether this gives us 
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= 395(0.85) + 395(0.0085x)
B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%.  This will simplify out to
0.85*395 + (x/100)(395) = 335.75 + 395x/100 = 335.75 + 3.95x, which is too much.
D) works; simplifying the expression from A, we have 395(0.85) + 395(0.0085x) = 335.75 + 3.3575x.
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