Answer: -1
Step-by-step explanation:
You want to find an angle that is coterminal to 495. So, subtract 360 degrees until youre in the range of 0-360. I got 495 - 360 = 135°
Tangent is equal to 
, we already solved theta which was 135°
This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:
Now lets do cosine of 135°, which again is apart of the pi/4 gang because its divisible by 45°. Its in quadrant 2 so the cosine will be negative.
The final step is to divide them. They are both fractions so you should multiply by the reciprocal.
Answer:
y = - 2(x + 4)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 4, 6 ) , thus
y = a(x - (- 4) )² + 6 , that is
y = a(x + 4)² + 6
To find a substitute (- 2, - 2) into the equation
- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )
- 8 = a(2)² = 4a ( divide both sides by 4 )
- 2 = a , thus
y = - 2(x + 4)² + 6 ← equation in vertex form
Well that's easy. Just plug in the numbers: 3*(-2)+4*(5)=14. So yes the solution is correct.
Answer:
Step-by-step explanation:
we have
This is the equation of the line in point slope form
The equation of the line in slope intercept form is equal to
where
m is the slope
b is the y-intercept
Convert the equation to slope intercept form
remove the parenthesis right side
subtract 4 both sides
---> equation in slope intercept form
Answer:
f-1(x) = (x-8)/2
Step-by-step explanation:
f(x) = 2x+ 8
y = 2x + 8
replacing y and x
x = 2y + 8
2y = x- 8
y =( x-8)/2
f-1 (x) =( x-8)/2
