Answer:
![x =38.7\°](https://tex.z-dn.net/?f=x%20%3D38.7%5C%C2%B0)
Step-by-step explanation:
By definition, the tangent of a x-angle is defined as
![tan(x) =\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=tan%28x%29%20%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D)
For this case
![opposite = 8](https://tex.z-dn.net/?f=opposite%20%3D%208)
![adjacent = 10](https://tex.z-dn.net/?f=adjacent%20%3D%2010)
Therefore we have that
![tan(x) =\frac{8}{10}](https://tex.z-dn.net/?f=tan%28x%29%20%3D%5Cfrac%7B8%7D%7B10%7D)
![x =arctan(\frac{8}{10})](https://tex.z-dn.net/?f=x%20%3Darctan%28%5Cfrac%7B8%7D%7B10%7D%29)
The answer is:
![x =38.7\°](https://tex.z-dn.net/?f=x%20%3D38.7%5C%C2%B0)
Answer:
(-5,-6)
Step-by-step explanation:
smart
Answer:
I is clear that, the linear equation
has no solution.
Step-by-step explanation:
<u>Checking the first option:</u>
![\frac{2}{3}\left(9x+6\right)=6x+4](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%5Cleft%289x%2B6%5Cright%29%3D6x%2B4)
![6x+4=6x+4](https://tex.z-dn.net/?f=6x%2B4%3D6x%2B4)
![\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}](https://tex.z-dn.net/?f=%5Cmathrm%7BSubtract%5C%3A%7D4%5Cmathrm%7B%5C%3Afrom%5C%3Aboth%5C%3Asides%7D)
![6x+4-4=6x+4-4](https://tex.z-dn.net/?f=6x%2B4-4%3D6x%2B4-4)
![6x=6x](https://tex.z-dn.net/?f=6x%3D6x)
![\mathrm{Subtract\:}6x\mathrm{\:from\:both\:sides}](https://tex.z-dn.net/?f=%5Cmathrm%7BSubtract%5C%3A%7D6x%5Cmathrm%7B%5C%3Afrom%5C%3Aboth%5C%3Asides%7D)
![6x-6x=6x-6x](https://tex.z-dn.net/?f=6x-6x%3D6x-6x)
![0=0](https://tex.z-dn.net/?f=0%3D0)
![\mathrm{Both\:sides\:are\:equal}](https://tex.z-dn.net/?f=%5Cmathrm%7BBoth%5C%3Asides%5C%3Aare%5C%3Aequal%7D)
![\mathrm{True\:for\:all}\:x](https://tex.z-dn.net/?f=%5Cmathrm%7BTrue%5C%3Afor%5C%3Aall%7D%5C%3Ax)
<u>Checking the 2nd option:</u>
![5x+12=5x-7](https://tex.z-dn.net/?f=5x%2B12%3D5x-7)
![\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}](https://tex.z-dn.net/?f=%5Cmathrm%7BSubtract%5C%3A%7D5x%5Cmathrm%7B%5C%3Afrom%5C%3Aboth%5C%3Asides%7D)
![5x+12-5x=5x-7-5x](https://tex.z-dn.net/?f=5x%2B12-5x%3D5x-7-5x)
![\mathrm{Simplify}](https://tex.z-dn.net/?f=%5Cmathrm%7BSimplify%7D)
![12=-7](https://tex.z-dn.net/?f=12%3D-7)
![\mathrm{The\:sides\:are\:not\:equal}](https://tex.z-dn.net/?f=%5Cmathrm%7BThe%5C%3Asides%5C%3Aare%5C%3Anot%5C%3Aequal%7D)
![\mathrm{No\:Solution}](https://tex.z-dn.net/?f=%5Cmathrm%7BNo%5C%3ASolution%7D)
<u>Checking the 3rd option:</u>
![4x+7=3x+7](https://tex.z-dn.net/?f=4x%2B7%3D3x%2B7)
![\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}](https://tex.z-dn.net/?f=%5Cmathrm%7BSubtract%5C%3A%7D7%5Cmathrm%7B%5C%3Afrom%5C%3Aboth%5C%3Asides%7D)
![4x+7-7=3x+7-7](https://tex.z-dn.net/?f=4x%2B7-7%3D3x%2B7-7)
![\mathrm{Simplify}](https://tex.z-dn.net/?f=%5Cmathrm%7BSimplify%7D)
![4x=3x](https://tex.z-dn.net/?f=4x%3D3x)
![\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}](https://tex.z-dn.net/?f=%5Cmathrm%7BSubtract%5C%3A%7D3x%5Cmathrm%7B%5C%3Afrom%5C%3Aboth%5C%3Asides%7D)
![4x-3x=3x-3x](https://tex.z-dn.net/?f=4x-3x%3D3x-3x)
![\mathrm{Simplify}](https://tex.z-dn.net/?f=%5Cmathrm%7BSimplify%7D)
![x=0](https://tex.z-dn.net/?f=x%3D0)
<u>Checking the 4th option:</u>
![-3\left(2x-5\right)=15-6x](https://tex.z-dn.net/?f=-3%5Cleft%282x-5%5Cright%29%3D15-6x)
![\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}](https://tex.z-dn.net/?f=%5Cmathrm%7BSubtract%5C%3A%7D15%5Cmathrm%7B%5C%3Afrom%5C%3Aboth%5C%3Asides%7D)
![-6x+15-15=15-6x-15](https://tex.z-dn.net/?f=-6x%2B15-15%3D15-6x-15)
![\mathrm{Simplify}\](https://tex.z-dn.net/?f=%5Cmathrm%7BSimplify%7D%5C)
![-6x=-6x](https://tex.z-dn.net/?f=-6x%3D-6x)
![\mathrm{Add\:}6x\mathrm{\:to\:both\:sides}](https://tex.z-dn.net/?f=%5Cmathrm%7BAdd%5C%3A%7D6x%5Cmathrm%7B%5C%3Ato%5C%3Aboth%5C%3Asides%7D)
![-6x+6x=-6x+6x](https://tex.z-dn.net/?f=-6x%2B6x%3D-6x%2B6x)
![\mathrm{Simplify}](https://tex.z-dn.net/?f=%5Cmathrm%7BSimplify%7D)
![\mathrm{Both\:sides\:are\:equal}](https://tex.z-dn.net/?f=%5Cmathrm%7BBoth%5C%3Asides%5C%3Aare%5C%3Aequal%7D)
![\mathrm{True\:for\:all}\:x](https://tex.z-dn.net/?f=%5Cmathrm%7BTrue%5C%3Afor%5C%3Aall%7D%5C%3Ax)
Result:
Therefore, from the above calculations it is clear that, the linear equation
has no solution.
The answer: The absolute value
Answer:
B) Y-intercept: (0,3), X-intercept: (4,0)
Step-by-step explanation:
x = 0 12y = 36-9x
12y = 36
y = 3 y intercept: (0,3)
y = 0 9x = 36 x = 4
x intercept: (4,0)