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Marrrta [24]
3 years ago
13

Circle G:(x-14)^2+(y+12)^2=49 and Circle H:(x-18)^2+(y-8)^2=196. Describe a complete series of transformation from Circle G to C

ircle H.
Mathematics
2 answers:
Free_Kalibri [48]3 years ago
3 0

Step-by-step explanation:

The equation

(x - a)² + (y - b)² = r²

describes a circle of radius r, with center at the point (a, b).

G is a circle of radius 7 units, centered at the point (14, -12).

H is a circle if radius 14 units, centered at the point (18, 8).

Gwar [14]3 years ago
3 0

Answer:

Dilation

Step-by-step explanation:

The general form of a circle with center at (h, k) and radius r units is given as

(x - h)² + (y - k)² = r²

G is a circle centered at the point (14, -12) with radius 7 units.

G is dilated 4 units to the right on the x-axis, 20 units upwards on the y-axis, and 7 units on the radius to a circle H with center at the point (18, 8) and radius 14 units.

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Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
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<h2>Answer with explanation:</h2>

Let p be the population proportion  of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

Given : Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

Set hypothesis to test :

H_0: p=0.39\\\\H_a :p\neq0.39

Sample size : n= 1055

Sample proportion : \hat{p}=\dfrac{466}{1055}=0.441706161137\approx0.44

Critical value for 95% confidence : z_{\alpha/2}=1.96

Confidence interval : \hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

0.44\pm (1.96)\sqrt{\dfrac{0.39(1-0.39)}{1055}}\\\\0.44\pm0.0299536805135\\\\0.44\pm0.03\\\\=(0.44-0.03, 0.44+0.03)\\\\=(0.41,\ 0.47)

Since , Confidence interval does not contain 0.39.

It means we reject the null hypothesis.

We conclude that 95​% confidence interval represents evidence that​ parents' attitudes toward the quality of education have changed.

8 0
3 years ago
As you were organizing your closet you counted 20 shirts and 12 pairs of pants what was the pants to shirt ratio?
NISA [10]

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Step-by-step explanation:

The ratio of shirts to pants can be shown by putting the number if shirts and pants in the following manner:

Number of shirts       :        Number of pants

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Then you have to take this to the lowest term. 4 is a factor of both numbers so when divided by 4 we get:

= 5 : 3

This is the ratio.

4 0
2 years ago
i'm supposed to find the distance around this shape and i got it marked wrong on a test but i'm not sure why!
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6 0
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