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koban [17]
4 years ago
6

Which term describes an angle that measures 100?

Mathematics
1 answer:
Katyanochek1 [597]4 years ago
8 0
100 degrees would be obtuse 
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The quadratic equation 8x²+12x-14 has two real roots. What is the sum of the squares of these roots?
mars1129 [50]

Answer:

The real roots are

x=\frac{(-3+\sqrt{37})}{4} and x=\frac{(-3-\sqrt{37})}{4}

The sum of the squares of these roots is \frac{-3}{2}

Step-by-step explanation:

The given quadratic equation is 8x^2+12x-14 has two real roots.

To find the roots .

8x^2+12x-14=0

Dividing the above equation by 2

\frac{1}{2}(8x^2+12x-14)=\frac{0}{2}

4x^2+6x-7=0

For quadratic equation ax^2+bx+c=0 the solution is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Where a and b are coefficents of x^2 and x respectively, c is a constant.

For given quadratic equation

a=4, b=6, c=-7

x=\frac{-6\pm\sqrt{6^2-4(4)(-7)}}{2(4)}

=\frac{-6\pm\sqrt{36+112}}{8}

=\frac{-6\pm\sqrt{148}}{8}

=\frac{-6\pm\sqrt{37\times 4}}{8}

=\frac{-6\pm\sqrt{37}\times\sqrt{4}}{8}

=\frac{-6\pm\sqrt{37}\times 2}{8}

=2\frac{(-3\pm\sqrt{37})}{8}

=\frac{-3\pm\sqrt{37}}{4}

x=\frac{(-3\pm\sqrt{37})}{4}

The real roots are

x=\frac{(-3+\sqrt{37})}{4} and x=\frac{(-3-\sqrt{37})}{4}

Now to find the sum of the squares of these roots

\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3+\sqrt{37}-3-\sqrt{37}}{4}

=\frac{-6}{4}

=\frac{-3}{2}

\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3}{2}

Therefore the sum of the squares of these roots is \frac{-3}{2}

3 0
3 years ago
Which set of ordered pairs represents a function?
Lana71 [14]

Answer:

{(-6,-6), (-2,-2), (7,-6), (-5,0)}

Step-by-step explanation:

Function: Every domain (x-value) has only one range (y-value)

The other choices had an x-value that had more than one y-value, which makes only this one a function.

Hope this helped :)

3 0
3 years ago
The high school baseball team won 24 of its games, which was 60% of the total games played. How many games did the team play thi
GenaCL600 [577]

Answer:

40 games in total

Step-by-step explanation:

8 0
3 years ago
N is a positive integer.
padilas [110]
Start with the smallest square number, it is zero but assuming they don’t want this answer so we will try with 1:
So n * 10 = 1
n= 1/10
n= 0.1
8 0
3 years ago
HELP ME PLS I WILL GIVE BRANINEST
tresset_1 [31]

Answer:

Angle A = 180

Step-by-step explanation:

180=7x+40

Subtract 40 from both sides

140 = 7x

Divide 7 from both sides

20=x

Substitue 20 in for x

7(20)+40

140+40 = 180

3 0
3 years ago
Read 2 more answers
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