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2 years ago

Write the equation of a circle that has a center of (-8, 0) and a diameter of 8.

Mathematics

1 answer:

Sveta_85 [38]2 years ago

8 0

Answer:

(x+8)^2+y^2=16

Step-by-step explanation:

The equation for a circle in center-radius form is

(x-h)^2+(y-k)^2=r^2

where (h,k) is the center and r is the radius.

We are given the diameter is 8 so the radius is 8/2=4.

We are also given (h,k) is (-8,0).

The equation for the circle is

(x--8)^2+(y-0)^2=4^2

(x+8)^2+y^2=16

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The students in the cooking club brought sugar to class they each brought 3,4,5and 6cups of sugar respectively they divided the

geniusboy [140]

Answer:

if there is 4 students then each student gets about 4 1/2 cups of sugar.

Step-by-step explanation:

3+4+5+6=18

18/4=4.5

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3 years ago

Pilar is playing with a motorized toy boat. She puts the boat in a lake and it travels 400m at a constant speed. On the way back

ankoles [38]

Answer:

The trip normally takes 8 minutes

Step-by-step explanation:

The given information states that the away distance the boat traveled = 400 m

The time traveled at the same initial speed , v₁, by the boat on the way back = 2 minutes

The increase in speed of the boat by Pilar = 10 m/min

The new speed, v₂ = v₁ + 10

The time for the return trip, t₂ = 60 seconds (1 minute) faster than time for the trip, t₁

t₂ = t₁ - 1

Therefore we have;

v₁ × t₁ = v₁×2 + v₂×(t₂-2) = 400

v₁×2 + (v₁ + 10)×(t₂-2) = 400

(v₁ + 10)×t₂ - 20 = 400

But v₁ = 400/t₁ = 400/(t₂ + 1)

Which gives;

(400/(t₂ + 1) + 10)×t₂ - 20 = 400

10×(t₂²+ 36·t₂-2)/(t₂+1) = 400

10·t₂²+ 10·t₂-420 = 0

t₂²+ t₂-42 = 0

(t₂ - 7)(t₂ + 6) = 0

t₂ = 7 minutes or -6 minutes

Given that t₂ is a natural number, we have, t₂ = 7 minutes

Whereby, t₂ = t₁ - 1, we have;

7 = t₁ - 1

t₁ = 1 + 7 = 8 Minutes

The trip normally takes 8 minutes

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3 years ago

A rectangular prism has a length of iom, a height of 2m, and a width of 5m. What is

Vsevolod [243]

Answer: Would it be 10^3m

Step-by-step explanation:

Volume of a rectangular prism = (length x width x height) cubic units.

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3 years ago

How many zeros are at the end of the product 25* 240?

SashulF [63]

Answer:Three zeros

Step-by-step explanation:

Just multiply them and see.

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3 years ago

QUICK<br><br> Find the area of the shaded region. Use 3.14 for pi.

ivolga24 [154]

Answer:

The shaded region is $353.25m^2$ .

Step-by-step explanation:

The area of a circle is defined by the multiplication of the square of its radius, or half its diameter, by pi, or simply $A=\pi r^2$ .

15m is the radius of the large circle, and also the diameter of the smaller circles.

The area of the shaded region will be the subtraction of the area of the two smaller circles from the area of the larger circle.

As such:

$A=\pi(15)^{2}-2(\pi(\frac{15}{2} )^{2})\\\\A=(3.14)(15)^{2}-2(3.14)(\frac{15}{2} )^{2}\\A=706.5-353.25\\A=353.25$

4 0

2 years ago

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