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cestrela7 [59]
2 years ago
12

Consider a circle whose equation is x2 + y2 + 4x - 6y - 36 = 0. Which statements are true? Check all that apply.

Mathematics
2 answers:
elixir [45]2 years ago
6 0

Answer:

B and C

Step-by-step explanation:

I just took the test

Ratling [72]2 years ago
4 0

Answer: •to complete the square for the x terms, add 4 to both sides

•The center of the circle is at (-2,3)

Step-by-step explanation:

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A car tire with a radius of 16inches is turning at a rate of 120 revolutions per minute. Find the exact linear speed of the tire
anygoal [31]

Answer:

The speed of the tyre of the car is 1002.24 feet per minute .

Step-by-step explanation:

Given as :

The radius of the car wheel = r = 16 inches

Since 12 inches = 1 feet

So,  16 inches = \frac{1}{12}×16 = 1.33 feet

The number of revolution of the wheel = 120 revolution per minute

Let The speed of the wheel = s feet per minute

The circumference of wheel = 2 × \pi × radius

where  \pi  = 3.14

or, circumference =  2 × 3.14 × 1.33

Or, Circumference = 8.352 feet

Now , Speed =  circumference of wheel × number of revolution

or, Speed = 8.352 feet × 120 revolution per minute

∴ Speed = 1002.24 feet per minute

Hence The speed of the tyre of the car is 1002.24 feet per minute . Answer

4 0
3 years ago
The binomial (y − 2) is a factor of y2 − 10y + 16. What is the other factor?
PtichkaEL [24]

Answer:

\left(y-8\right)

Step-by-step explanation:

y^2-10y+16

=\left(y^2-2y\right)+\left(-8y+16\right)

y^2-2y

=yy-2y

=y\left(y-2\right)

-8y+16

=-8y+8\cdot \:2

=-8\left(y-2\right)

=y\left(y-2\right)-8\left(y-2\right)

=\left(y-2\right)\left(y-8\right)

The other factor is:

\left(y-8\right)

5 0
2 years ago
Read 2 more answers
Suppose the population of a town is 15,200 and is growing 2% each year. a. Write an equation to model the population growth. b.
AleksandrR [38]
<span>Try simplifying the number to start. For example, if the population of the town is 100 people and the population growth is 2%, then there will 102 people in the town next year (Y=1). Continue adding 2% to the population for each of 10 years to get the answer for the 10th year. Growth would be considered 100% of current population plus 2% additional for a total of 102% - convert 102% to to a factor and you will have your formula Y=15,200*1.02;18,529</span>
4 0
2 years ago
Cora is playing a game that involves flipping three coins at once. Let the random variable HHH be the number of coins that land
arlik [135]

Answer:

0.875

Step-by-step explanation:

P(H=0) = 0.125

P(H=1) = 0.375

P(H=2) = 0.375

P(H=3) = 0.125

P(H<3) = P(H=0) + P(H=1) + P(H=2)

P(H<3) = 0.125 + 0.375 + 0.375

P(H<3) = 0.875

4 0
2 years ago
Read 2 more answers
Let f (x)= x + 18 − 3 x − 15 Choose the correct interval form for the DOMAIN of f and then enter the values for the endpoint(s)
natulia [17]

Answer:

The domain of f(x) corresponds to the set of real numbers.

D f(x) ∈ ∀X; D f(x) ∈ R

Step-by-step explanation:

f(x)=X+18-3X-15

f(x)=-2X+3 (right line with negative slope)

This function exists for all values of X, so the domain corresponds to the set of real numbers.

D f(x) ∈ ∀X; D f(x) ∈ R

3 0
2 years ago
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