3x + 8 = 3x + []
Subtract 3x from both sides.
[] = 8
If you want no values of x, it can be any positive value other than 8.
If you want all values of x, the value must be 8.
If you want only one value of x, it is impossible because both equations have the same slope.
Explanation:
Consider ...
x/a = b/c . . . . . find x
Multiplying by the denominator under x gives ...
x = ab/c . . . . the value of the unknown.
____
In the case where the unknown is in the denominator, you can invert the ratios and solve as above:
a/x = c/b . . . . . note that x is in the denominator
x/a = b/c . . . . . equivalent equation, solve as above
If you begin with the basic equation of a vertical parabola: y-k=a(x-h)^2, where (h,k) is the vertex, then that equation, when the vertex is (-3,-2), is
y + 2 = a (x + 3)^2. If we solve this for y, we get
y = a(x+3)^2 - 2. Thus, eliminate answers A and D. That leaves B, since B correctly shows (x+3)^2.
Answer:
sine 23 = x/21
Multiply both sides by 21
21 x sine 23 = x
Now, use a calculator and find the answer of the 21 times the sine of 23:
x = -17.7706284876
The answer is 48.5, did a question similar to this on a quiz and got it right
