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stepan [7]
2 years ago
5

I NEED HELP WITH A QUICK QUESTION! 30 POINTS!

Mathematics
1 answer:
Artyom0805 [142]2 years ago
6 0

Answer:

The center is (2 ,-3)

The radius is 3

The diameter is twice the radius = 2(3) = 6

Step-by-step explanation:

The equation of a circle is given by

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

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

(x - 2)² + (y+3)² = 9

(x - 2)² + (y- -3)² = 3^2

The center is (2 ,-3)

The radius is 3

The diameter is twice the radius = 2(3) = 6

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Find the measure of an angle such that the difference between the measures of its supplement and three times its complement is 6
kykrilka [37]

Answer:

X=50

Step-by-step explanation:

x is the angle

180 - x is its suplement

90 - x is its complement

(180 - x) - 3(90 -x) = 10

180 - x -270 +3x = 10

-90 + 2x = 10

2x = 100

X = 50

4 0
2 years ago
Find the measure or angle xyz
blagie [28]

Answer:

The answer to your question is: 85°

Step-by-step explanation:

Data

m∠ xyz = 2m∠x - 9

m∠w = 38°

Process

∠x = (∠xyz + 9) / 2

∠ y = 180 - ∠xyz

∠w + ∠y + ∠x = 180

                             

Substitution              38 + (180 - ∠xyz) +   (∠xyz + 9) / 2 = 180

                                 76 + 360 - 2∠xyz + ∠xyz + 9 = 360

Simplify

                                 85 - 2∠xyz + ∠xyz = 0

                                  85 = ∠ xyz

5 0
3 years ago
Claire is a manager at a toy packaging company. The company packs 80 boxes of toys every hour for the first 3 hours of the day.
Stells [14]

Answer:

See the attached figure.

Step-by-step explanation:

Modeling each part as a function.

Let x is hours of the working day

The company packs 80 boxes of toys every hour for the first 3 hours of the day. ⇒ y₁ = 80 x , x ∈ [0,3]

At the end of the 3 hours The company packs = 80 * 3 = 240

They stop packaging for the next 2 hours in order to carry out a training session. ⇒ y₂ = 240 , x ∈ [3,5]

Then, for the next 4 hours, they pack 20 boxes of toys every hour

y₃ = 20x + c , x ∈ [5,9]

To find c, y₂ = y₃ at x =5

∴ 240 = 20 * 5 + c

∴ c = 240 - 20 * 5 =240 - 100 = 140

∴ y₃ = 20x + 140 , x ∈ [5,9]

So,

y₁ = 80 x , x ∈ [0,3]

y₂ = 240 , x ∈ [3,5]

y₃ = 20x + 140 , x ∈ [5,9]

The graph models the piecewise function for the given situation is as shown in the attached figure.

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3 years ago
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Use the drawing tool(s) to form the correct answer on the provided graph.
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