I believe it is in 2.64 years
Answer:
p = 3, q = 2.5
Step-by-step explanation:
Given that x = - 4 is a root of the equation, then
(- 4)² - 4p - 4 = 0, that is
16 - 4p - 4 = 0
12 - 4p = 0 ( subtract 12 from both sides )
- 4p = - 12 ( divide both sides by - 4 )
p = 3
Also given that the equation x² + px + q = 0 has equal roots
Thus the value of the discriminant b² - 4ac = 0
Here a = 1, b = p and c = q, thus
p² - 4q = 0 ← substitute p = 3 from above into the equation
9 - 4q = 0 ( subtract 9 from both sides )
- 4q = - 9 ( divide both sides by - 4 )
q = 2.5
<span>(x+1)(x+2) = x^2 + x + 2x + 2 = x^2 + 3x + 2
so answer
</span><span>A. (x+1)(x+2)</span>
Answer:
mZWX = 214°
Step-by-step explanation:
In a circle C, XR and WZ are two diameters.
∠ XCW = 34° and ∠ YCZ = 86°
We have to find the measure of arc ZWX
Since ∠XCW + ∠XCY + ∠YCZ = 180° [ angles on a straight line ]
34° + ∠XCY + 86° = 180°
120° + ∠XCY = 180°
∠XCY = 180 - 120 = 60°
Now arc ZWX = 360° - (∠XCY + ∠ YCZ)
= 360° - (60° + 86°)
= 360° - 146°
= 214°
Therefore answer is arc ZWX = 214°