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atroni [7]
3 years ago
11

Inqualities question pls help!

Mathematics
1 answer:
Margaret [11]3 years ago
5 0

Answer:

B

Step-by-step explanation:

The closed circle at - \frac{3}{2} indicates that x can equal this value

The open circle at \frac{7}{2} indicates that x cannot equal this value.

All values of x between - \frac{3}{2} and \frac{7}{2} are valid, thus

- \frac{3}{2} ≤ x < \frac{7}{2} → B

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The endpoints of the diameter of a circle are (−2, −3) and (4, −1). Which equation represents the circle?
Alika [10]

Answer:

The equation of circle is (x-1)^{2}+(y-2)^{2} = 18

Step-by-step explanation:

Given the endpoints of the diameter of a circle: (-2,-3) and (4,-1)

We know that the equation of circle is

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

where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.

To find (h,k): the center is midpoint of diameter

Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by

(  \frac{x1+x2}{2} , \frac{y1+y2}{2}  )

( \frac{-2+4}{2} , \frac{-3-1}{2}  )

(1,2)

Hence (h,k) is (1,2)

Substituting values of (h.k) and (x.y) as (1,2) and (4,-1) respectively in equation of circle, we get

(4-1)^{2} +(-1-2)^{2} = r^{2}

r^{2} = 18

Now substituting values of (h,k) and r^{2} in equation of circle, we get

(x-1)^{2}+(y-2)^{2} = 18

Hence the equation of circle is (x-1)^{2}+(y-2)^{2} = 18

5 0
3 years ago
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There are 8 states in the United States that begin with the letter “M.” If you chose a state at random, what is the probability
Goryan [66]

Answer: 8/50

Step-by-step explanation:

simplified is 4/25

4 0
3 years ago
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AveGali [126]
Put the numbers of books you have read
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eimsori [14]

I think it is a D I'm not really sure

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2 years ago
Write an equation to describe the relationship in each table.
GuDViN [60]

Answer:

First table: 2x+1=y

Second table: 3x+2=y

Step-by-step explanation:

It was really just testing it out, checking to see if an equation worked for one row, then try in the next. Its hard to explain, but its really just guess and check ;D

I hope this helps!

4 0
2 years ago
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