The answer is: " (x² − 3) " .
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Explanation:
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Given: 3x² <span>− 9x ; factor out a "3x" ;
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</span>→ 3x (x² − 3) ;
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The answer is: " (x² − 3) " .
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A triangle can only equal 180 so you take 180-50 and get 130 then you divide 130 by 2 your answer is 65 X =65
Answer:
c
Step-by-step explanation:
Here's how this works:
Get everything together into one fraction by finding the LCD and doing the math. The LCD is sin(x) cos(x). Multiplying that in to each term looks like this:
![[sin(x)cos(x)]\frac{sin(x)}{cos(x)}+[sin(x)cos(x)]\frac{cos(x)}{sin(x)} =?](https://tex.z-dn.net/?f=%5Bsin%28x%29cos%28x%29%5D%5Cfrac%7Bsin%28x%29%7D%7Bcos%28x%29%7D%2B%5Bsin%28x%29cos%28x%29%5D%5Cfrac%7Bcos%28x%29%7D%7Bsin%28x%29%7D%20%3D%3F)
In the first term, the cos(x)'s cancel out, and in the second term the sin(x)'s cancel out, leaving:
![\frac{sin^2(x)}{sin(x)cos(x)}+\frac{cos^2(x)}{sin(x)cos(x)}=?](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%5E2%28x%29%7D%7Bsin%28x%29cos%28x%29%7D%2B%5Cfrac%7Bcos%5E2%28x%29%7D%7Bsin%28x%29cos%28x%29%7D%3D%3F)
Put everything over the common denominator now:
![\frac{sin^2(x)+cos^2(x)}{sin(x)cos(x)}=?](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%5E2%28x%29%2Bcos%5E2%28x%29%7D%7Bsin%28x%29cos%28x%29%7D%3D%3F)
Since
, we will make that substitution:
![\frac{1}{sin(x)cos(x)}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bsin%28x%29cos%28x%29%7D)
We could separate that fraction into 2:
×![\frac{1}{cos(x)}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bcos%28x%29%7D)
and ![\frac{1}{cos(x)}=sec(x)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bcos%28x%29%7D%3Dsec%28x%29)
Therefore, the simplification is
sec(x)csc(x)
The answer is for 1st question is “10.4” and for the second question “non of these choices are correct”.
Explanation:
For the 1st question:
tan = opposite / adjacent
tan 30 = x / 18
18 tan 30 = x
x = 10.4
For the 2nd question,
If a triangle as an angle of 90 degree, it is 100% a right triangle.
Hope it helps :), mark me brainliest please!
N = d - 5
2n/(d + 16) = n/d - 1/3 n/d
2n/(d + 16) = 2/3 n/d Divide by 2n
1 / (d + 16) = 1/3 d
Here's the tricky part.
d + 16 = 3d the two denominators are equal. the numerators are both 1.
16 = 2d
d = 8
so the numerator is d - 5
n = 8 - 5
n = 3
Let's see if it checks out.
n = 3
d = 8
2*3 = 6
8 + 16 = 24
New fraction 6/24 = 1/4
(3/8 - 1/3 ) = 1/8
3/8 - 1/8 = 1/4 so it checks with the original conditions put on it.