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shtirl [24]
3 years ago
13

Assuming n is negative what criteria must.occur in terms of b to result in a non real number

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
3 0

Answer: It is impossible to sqare a real number and get a number.

Step-by-step explanation:

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During a thunderstorm​ yesterday, 600 millimeters of rain fell in 30 minutes. What is the unit rate for millimeters per​ minute?
blagie [28]

Answer:

I think it would be 50 millimeters per second

Step-by-step explanation:

600/30

7 0
3 years ago
Read 2 more answers
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
3 years ago
Find m/EGD. (measurement in degrees)
Wewaii [24]

Answer:

\huge\boxed{\bf\:30^{\circ}}

Step-by-step explanation:

We need to find m ∠EGD.

From the given figure, we can see that, ∠BGA & ∠EGD are vertically opposite angles (opposite angles that share the same vertex ⟶ G).

Also, vertically opposite angles are equal to each other.

Given,  ∠BGA = 30°

So,  ∠EGD =  ∠BGA = 30°.

\rule{150pt}{2pt}

6 0
2 years ago
Read 2 more answers
2 x<br>— = -----<br>7 x + 10<br><br>x = ???​
valentina_108 [34]

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

Maybe you want to find x such that ...

  2/7 = x/(x +10)

  2(x +10) = 7x . . . . . . multiply by 7(x+10)

  20 = 5x . . . . . . . . . . subtract 2x, simplify

  4 = x . . . . . . . . . . . . divide by 5

_____

<em>Additional comment</em>

You can almost solve this "by inspection" if you recognize the difference of the denominator and numerator is 5 on the left and 10 on the right. If you multiply the fraction on the left by 2/2, you get 4/14, the values in x/(x+10) in the fraction on the right.

6 0
2 years ago
A board that measures 3/4 feet long is cut into 6 equal pieces. What is the length of each piece?
shusha [124]

Answer:

See below:

Step-by-step explanation:

So we know that there is a \frac{3}{4} feet long board and that it is split into 6 pieces.

With that information, we can split it by doing the following:

1. \frac{3}{4} *\frac{1}{6}

We can do this because we have a board that is 0.75 feet long and we multiply it by one sixth because we want to divide a fraction and to do that we have to flip the fraction.

After doing that, we get our answer of \frac{3}{24}=\frac{1}{8}

This means that each piece is \frac{1}{8} feet long.

Cheers!

5 0
2 years ago
Read 2 more answers
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