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Dimas [21]
3 years ago
13

Write the standard equation of a circle that passes through (1, −6) with center (7, −2).

Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0

Answer:

D: (x – 7)2 + (y + 2)2 = 52

Step-by-step explanation:

Circle: (x -h)² + (y - k)² = r²    center (h , k)    r: radius

(1 , -6) on the circle: radius   √(1 - 7)² + (-6 - (-2))² = √36 + 16 = √52

(x -7)² + (y +2)² = (√52)² = 52

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Step-by-step explanation:

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3 years ago
Which is the best estimate for 10 drops of liquid?
Fynjy0 [20]

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Step-by-step explanation:

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3 years ago
A pair of Jordans sold at retail for $180 and now sell for $330 after market. A. Is this a percent INCREASE or DECREASE, what is
Elza [17]

Answer:

This is a percent INCREASE

The percent change is 83.33%

Step-by-step explanation:

Let us solve the question

∵ A pair of Jordans sold at retail for $180

∴ The initial price = 180

∵ Now it sells for $330 aftermarket

∴ The new price = 330

→ That means the new price is greater than the initial price

∵ The new price is greater than the initial price

∴ This is a percent INCREASE

∵ The percent of change = (amount of increase ÷ initial amount) × 100%

∵ The amount of increase = new price - initial price

∴ The amount of increase = 330 - 180 = 150

→ Substitute it in the rule of percent of increase above

∵ The percent change = \frac{150}{180} × 100%

∴ The percent change = \frac{5}{6} × 100%

∴ The percent change = 83.33%

4 0
3 years ago
A grocery store sells a 6-pack of bottled water for $3.79 and a 12-pack of water for $6.89.
Ivenika [448]
It will be  26.1131 per bottle hopes this helps :)
7 0
4 years ago
The pentagonal prism has a perpendicular distance of 14 units between the bases. The volume of the prism is 840 cubic units. Wha
Leno4ka [110]

Answer:

Option 4. Perimeter = 30 units

Step-by-step explanation:

Since the volume of a pentagonal prism is 840 cubic units.

Perpendicular distance between the bases = 14 units

We know volume of a pentagonal prism = Area of base × distance between the bases

840 = Area × 14

Area = 840/14 = 60 square units

Now area of a pentagon

A=\frac{a^{2}}{4}\times\sqrt{5(5+2\sqrt{5})}

1.72a^{2}=60

a^{2}=\frac{60}{1.72}=34.90

a=\sqrt{34.9}=5.91

Therefore perimeter of the pentagon = 5×a = 5×5.91 = 29.54 ≈ 30 units

8 0
3 years ago
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