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3 years ago

If the equation of a circle is (x + 4)2 + (y - 6)2 = 25, its center point is

Mathematics

2 answers:

Molodets [167]3 years ago

5 0

Answer:

the center point of the given equation is (-4,6)

Step-by-step explanation:

the equation of a circle is (x + 4)^2 + (y - 6)^2 = 25

The given equation is in center radius form

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

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

Now compare the given equation with center radius form of the equation

h=-4 and k=6

center is (h,k) so the center point of the given equation is (-4,6)

leonid [27]3 years ago

3 0

The circle equation is written as (x-h)² + (y-k)² = r²

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

In the given equation the center is at (-4,6)

hope this helps :)

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A student measures an angle that turns through 29 360 29360 of a circle. The student says the angle measures 29°. Is the student

sveta [45]

I think you have a typo in your problem. I believe you are asking about 29% of the circle.

In that case, it would by 29% of 360 or 0.29 x 360 = 104.4

29% is not the same as 29 degrees.

7 0

3 years ago

Read 2 more answers

You recently took a statistics exam in a large class. The instructor tells the class that the scores were Normally distributed,

Lunna [17]

Answer:

b. the area to the right of 2

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to the right of Z.

In this problem:

$X = 96, \mu = 72, \sigma = 12$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{96 - 72}{12}$

$Z = 2$

Percentage who did better:

P(Z > 2), which is the area to the right of 2.

5 0

3 years ago

8x + 6 + 2x = 12 + 4x

weeeeeb [17]

Answer:

x=1

Step-by-step explanation:

8x+6+2x=12+4x

10x+6=12+4x

-6 -6

10x=6+4x

-4x -4x

6x=6

x=1

4 0

3 years ago

A certain firm has plants A, B, and C producing respectively 35%, 15%, and 50% of the total output. The probabilities of a non-d

Sliva [168]

Answer:

There is a 44.12% probability that the defective product came from C.

Step-by-step explanation:

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

-In your problem, we have:

P(A) is the probability of the customer receiving a defective product. For this probability, we have:

$P(A) = P_{1} + P_{2} + P_{3}$

In which $P_{1}$ is the probability that the defective product was chosen from plant A(we have to consider the probability of plant A being chosen). So: