Answer:
- Positive at (-9, 2)
- Negative at ( -oo, -9) or (2, + oo)
Step-by-step explanation:
<u>Given function</u>
<u>Getting zero's</u>
- -2x^2 - 14x + 36 = 0
- x^2 + 7x - 18 = 0
- x = ( -7 ± √(49 +72))/2 = ( -7 ± 11)/2
- x = - 9 and x = 2
<u>As the x^2 has negative coefficient, the function is positive between -9 and 2</u>
<u>And it is negative at:</u>
- x < -9 and
- x > 2
- or
- ( -oo, -9) or (2, + oo)
Answer:
68°
Step-by-step explanation:
ABD is a right angle and the measure of it is 90°
m<CBD + m<ABC = m<ABD
4x + 52° + 8x - 10 = 90° add like terms
12x + 42° = 90°
12x = 48°
x = 4
m<CBD is 4x + 52° replace x with 4
4×4 + 52 = 68°
One half subtracted by one fourth is one fourth.
1/2 - 1/4 = 1/4
Actually, the answer is not A, if you're saying A is the first choice above. That's incorrect. You will need to use the Geometric mean for right triangles here to figure out what the value of a is. We will use this form:

. We have a value for YZ of 3; side a is XZ. That means in order to solve this we need WZ, which we can find using pythagorean's theorem. 3^2 + 4^2 = c^2 and 9 + 16 = c^2 and c = 5. Now we fill in accordingly:

. Cross-multiply to get 3XZ=25 and side XZ is

. XZ is 25/3 and YZ is 3, so 25/3 - 3 = XY. That means that XY (side a) = 16/3 or 5 1/3, choice B, or the second one down.
X and y are points that help u place other points