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Bumek [7]
4 years ago
10

What are the roots of 4x^2 + 176 = 0?

Mathematics
1 answer:
marin [14]4 years ago
4 0
Roots are the same as zeros, and you find them by factoring and solving for y.  This one is easiest if done by "taking roots" method.  Let's move the 176 over to the other side and then divide both sides by 4 to get the x^2 alone.  If we do that have we get x^2 = -44.  But we know that we cannot take the square root of a negative number without accounting for it by using the imaginary "i".  Since "i" is equal to -1, let's rewrite that [sqrt-44] as [sqrt(-1)(44)].  Now let's simplify the 44 by finding its perfect square hidden in there: [sqrt(-1)(4)(11)].  Now, because -1 = i^2, we can rewrite that as well like this:
[sqrt(i^2)(4)(11)].  Both the i^2 and the 4 are perfect squares so that's what we pull out, leaving the 11 inside for an answer of x = +/- 2i[sqrt(11)]
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10°<br> 55°<br> x х<br> Solve for y in the figure above.
andreyandreev [35.5K]
Y=145
Explanation:
A triangle’s angles add up to a total of 180 so you would subtract 55 from 180 and then subtract 90 because of the right angle, then you would end with x=35. Since x and y are supplementary they add to 180...so then you subtract 35 from 180 and then you get y=145.
8 0
3 years ago
You take a three-question true or false quiz. You guess on all the questions. What is the probability that you will get a perfec
elena-14-01-66 [18.8K]
The probability that you will guess the first answer correctly  =  1/2  =  0.5
The probability that you will guess the second answer correctly  =  1/2  =  0.5
The probability that you will guess the third answer correctly  =  1/2  =  0.5

The probability that you will guess all three answers correctly is

                (0.5) x (0.5) x (0.5)  =  0.125  =  12.5% .

============================

Here are all the ways your answer sheet could wind up:
(R = a right answer.  W = a wrong answer.)

W W W 
W W R
W R W
W R R
R W W
R W R
R R W
R R R

Number of possible ways to score 0 right out of 3 questions:  1 way
Number of possible ways to score 1 right out of 3 questions:  3 ways
Number of possible ways to score 2 right out of 3 questions:  3 ways
Number of possible ways to score 3 right out of 3 questions:  1 way

Statistically, if your answers are all pure guesses, 
then on the average, the score you expect is

      (0 + 33-1/3 + 33-1/3 + 33-1/3 + 66-2/3 + 66-2/3 + 66-2/3 + 100) / 8

   =                  400 / 8

   =                      50%  .  

If you're happy with that score, great !  
Go to the movies the night before the test,
and start guessing.


5 0
3 years ago
A bucket that contains several inches of water is left outside on a rainy day. The height of the water in the bucket that day is
Aleks [24]
The verticall intercept is the value of H when t=0. It's 4 in this equation. It's that "several inches" of water that were in the bucket when the rain was ready to start.
6 0
3 years ago
Read 2 more answers
You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo o
Lorico [155]

Answer:

9.

Step-by-step explanation:

We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.            

First of all we will convert dimensions of poster from feet to inches.

3\text{ feet}=3\times 12 \text{ inches}=36\text{ inches}

4\frac{1}{2}\text{ feet}=4.5\times 12 \text{ inches}=54\text{ inches}

Now let us compare sides of our original photo with corresponding sides of poster.

\frac{36}{4} =9          

Now let us compare the second pair of corresponding sides.

\frac{54}{6} =9

We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.      

5 0
4 years ago
Find the supplement of 29°​
Nonamiya [84]

Answer:

151°

Step-by-step explanation:

Supplementary angles equal 180°, so all you have to do here is subtract 29 from 180 to get 151° as the supplement.

4 0
3 years ago
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