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2 years ago

10

Which is a rational number between -12 and -11.25?

2 answers:

cupoosta [38]2 years ago

5 0

Well a and b both would be.

Fed [463]2 years ago

5 0

B. All the above numbers are rational as they can be expressed in fractions. Only -11.45 is between -12 and -11.25, therefore B is the answer.

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Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

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

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

2 years ago

Use the information below to answer the question: The Tigers scored 3

Paraphin [41]

Answer:

they either scored 18 or 9 points from the field goals but i think it is the 9 point if i'm wrong then it is the other one

Step-by-step explanation:

3 0

2 years ago

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Alja [10]

Answer:

x = 7

Step-by-step explanation:

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7 0

2 years ago

Serjik [45]

Step-by-step explanation:

$= \frac{ \frac{3}{x - 2} - 5 }{2 - \frac{4}{x - 2} }$

$= \frac{ \frac{3 - 5.(x - 2)}{x - 2} }{ \frac{2.(x - 2) - 4}{x - 2} }$

$= \frac{ \frac{3 - 5.(x - 2)}{ \cancel{x - 2}} }{ \frac{2.(x - 2) - 4}{ \cancel{x - 2} }}$

$= \frac{3 - 5.(x - 2)}{2.(x - 2) - 4}$

$= \frac{3 - 5x + 10}{2x - 4 - 4}$

$= \frac{ - 5x + 13}{2x - 8}$

$= \frac{13 - 5x}{2x - 8}$

The answer is D.

8 0

2 years ago

16 inches to centimeters

asambeis [7]

Answer:

In centimeters, it would be 40.64 centimeters.

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2 years ago

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