Answer:
x=9.79
Step-by-step explanation:
firstly find the hypotenuse of the first triangle
sin45=12/h
sin45h/sin45=12/sin 45
h=16.9
after finding the hypotenuse you can then use it to find x by using tan
tan60=16.9/x
tan60x/tan60=16.9/tan60
x=9.79
I hope this helps!!
The change in x between the two is 3 and the change in y is -9.
Divide -9 by 3 to get -3 using the rise over run slope formula.
The equation is y = -8 + -3x because the -8 in the second set of coordinates is the y-intercept of the equation.
Hope this helps!
We have the following expression:

By combining similar terms, we get

now, 2 times 3 is 6 and to add exponents, both the exponents and variables should be alike:

Similarly,

Therefore, the answer is
9We have such eqation
Q

/*9 (multiply both sides by 9)
9Q+5=

/-5 both sides
9Q=

9Q=

9Q=

9Q=-

/:9 divide both sides by 9
Q=-

Q
![\frac{21}{6*9} =- \frac{21}{54}=[tex] \frac{7}{18}](https://tex.z-dn.net/?f=%20%5Cfrac%7B21%7D%7B6%2A9%7D%20%3D-%20%5Cfrac%7B21%7D%7B54%7D%3D%5Btex%5D%20%5Cfrac%7B7%7D%7B18%7D%20)
- its the answer
Answer:
C, E
Step-by-step explanation:
Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.
The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...
x² +y² -4x -6y +8 = 0
Subtracting 8 puts us in better position to complete the squares.
x² +y² -4x -6y = -8
Now, we can add the squares of half the coefficients of the linear terms.
(x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C
And we can simplify this to the standard form equation:
(x -2)² +(y -3)² = 5 . . . . . matches E