Answer:
x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 12 x - 23 = -5
Divide both sides by 8:
x^2 - (3 x)/2 - 23/8 = -5/8
Add 23/8 to both sides:
x^2 - (3 x)/2 = 9/4
Add 9/16 to both sides:
x^2 - (3 x)/2 + 9/16 = 45/16
Write the left hand side as a square:
(x - 3/4)^2 = 45/16
Take the square root of both sides:
x - 3/4 = (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
x = 3/4 + (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
Answer: x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Answer:
A
Step-by-step explanation:
it's A because if you're adding x from each number in the equation you would shift to the left causing the graph to become more positive but if you subtract x you would shift to the right causing the graph to become more negative.
For this case we have to, by definition:
This means that the tangent of angle B will be equal to the leg opposite the angle on the leg adjacent to the same angle.
Then, clearing to have:
Rounding out the value of a we have:
Answer:
Option C
Acute: anything less than 90 but greater than 0
so, m<CAD
right: angles at exactly 90 degrees, so m<AEC,
and obtuse angles are anything greater than 90 but less than 180 degrees,
so CDA (you can tell by the picture that it is bigger than 90- 90 degrees is exactly perpendicular)
