Answer:
A
Step-by-step explanation:
We want to solve the equation:
To do so, we can rewrite the equation.
Recall the double-angle for sine:
By substitution:
Distribute:
We can subtract 3cos(x) from both sides:
And factor:
Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.
Answer:
Step-by-step explanation:
Notice that function 
has the exat shape of function 
, and it has just be translated to the right by 3 whole units.
Recall that horizontal translations to the right involve subtracting the number of units moved in the translation from the variable "x". therefore, in our case this means:
Answer:
y = -2x+8
Step-by-step explanation:
We have 2 points so we can find the slope
m = (y2-y1)/x2-x1)
m = ( -4 -8)/(6 - 0)
= -12/6
= -2
The y intercept is 8 from the point (0,8)
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -2x+8
Multiply it out and collect terms.
y = (x - 3)² + 36
y = (x² -6x +9) +36
y = x² -6x +45
