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Sidana [21]
1 year ago
12

In the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation o

f a circle, x2 + y2 = r2.
If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle?

A: (h + x)2 + (k + y)2 = r2
B: (x – h)2 + (y – k)2 = r2
C: (k + x)2 + (h + y)2 = r2
D: (x – k)2 + (y – h)2 = r2

Mathematics
2 answers:
ra1l [238]1 year ago
5 0

Answer:

B

Step-by-step explanation:

\textsf{Let}\:(x_1,y_1)=(h,k) → new center of the circle

\textsf{Let}\:(x_2,y_2)=(x,y) → point on the circle

Therefore, the radius (r) is the distance between (x, y) and (h, k)

Use the distance formula:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=d

\implies \sqrt{(x-h)^2+(y-k)^2}=r

Square both sides:

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

MAVERICK [17]1 year ago
4 0

Answer:

Option B

Step-by-step explanation:

Then we have to use distance formula to derive it

  • √(x-h)²+(y-k)²=r
  • (x-h)²+(y-k)²=r²

Option B is correct

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A soft-drink machine can be regulated so that it discharges an average of μ oz. per cup. If the ounces of fill are Normally dist
sattari [20]

Answer:

μ = 5.068 oz

Step-by-step explanation:

Normal distribution formula to use the table attached

Z = (x - μ)/σ

where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.

98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].

From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives

Z = (x - μ)/σ

2.33 = (6 - μ)/0.4

μ = 6 - 2.33*0.4

μ = 5.068

This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.

4 0
3 years ago
5 + 1.3 • 8.7? whats the answer?
Elan Coil [88]

Answer:

56

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
I know the answer but plz explain it. 5:3 × 6:2
stira [4]
5:3 x 6:2 can also be written as a fraction
5/3 x 6/2
Multiply across
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Simplify
5/1
Rewrite
5:1 is your answer, or if your teacher does not want it simplified, 30:6

Hope I helped! :)
3 0
2 years ago
Come get a brainliest
vfiekz [6]

The schools is loacted at <u>(1, -8)</u> and the park is loacted at <u>(-6,-8)</u>

3 0
2 years ago
Someone please double check my answers for this project
hammer [34]

Answer:

yes you got right

Step-by-step explanation:

because you did do it step by step

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