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Elanso [62]
3 years ago
13

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

Mathematics
2 answers:
Tom [10]3 years ago
5 0
        (x - h)² + (y - k)² = 25
(x - (-4))² + (y + (-6))² = 25
      (x + 4)² + (y - 6)² = 25

(h, k) = (-4, 6)

The answer is B.
Kobotan [32]3 years ago
5 0

Answer:

center of the circle is (-4,6)

Second option is correct.

Step-by-step explanation:

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

The general form of a circle is given by the equation

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

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

On comparing the equation with this general form, we get

h = -4, k = 6

Therefore, the center of the circle is (-4,6)

Second option is correct.

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Teddy is rolling a die and writing the number that shows. The collection of the data is with replacement. (True or False)
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3 years ago
On Monday, Lou drives his ford escort with 28-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his
weeeeeb [17]

Answer:

\% Change = \frac{|28-32|}{32} *100 = 12.5\%

(B) Decrease by 12.5%

Step-by-step explanation:

For this case we know that the revolution is proportional to the circumference.

And we know that the average number of revolutions of 32 inch tires for Tuesday is higher than the original value of 28 inch tires for Monday.

We know that we have x mi/hr, so we can select a value fo x in order to find the average revolutions with the following formula:

Avg = \frac{x}{mi}

Let's say that we select a value for x for example x= 28*32 = 896, since this value is divisible by 32 and 28.

If we find the average revolutions per each case we got:

Tuesday:

Avg = \frac{896}{32}=28

Monday:

Avg = \frac{896}{28}=32

And then we can find the % of change like this:

\% Change= \frac{|Final-Initial|}{Initial} *100

And if we replace we got:

\% Change = \frac{|28-32|}{32} *100 = 12.5\%

Because we are assuming that the initial amount is the value for Monday and the final value for Tuesday.

So then the best answer for this case would be:

(B) Decrease by 12.5%

3 0
3 years ago
F(x)=x-14 and g(x)=x^2+14, find (fog)(x)
tatuchka [14]

Answer:

(fog)(x) = x^2

Step-by-step explanation:

Here g(x) = x^2 + 14 becomes the input to f(x):

(fog)(x) = [x^2 + 14] - 14

(fog)(x)  = x^2 (answer)

4 0
3 years ago
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