310°
130°
80°
50°
Correct answer is B
Make a good sketch of the question, and follow this steps.
Since ST is parallel to UV => angle USR = 50°(alternate to VUS.
Angle UST = 180° - 50° = 130° (angle on a straight line)
8.0 m
8.4 m
9.0 m
10.0 m
Correct answer is D
No explanation has been provided for this answer.
If α and β are the roots of the equation 3x\(^2\) + 5x - 2 = 0, find the value of 1/α + 1/β
-5/3
-2/3
1/2
5/2
Correct answer is D
1/α + 1/β = β+α/αβ
3x\(^2\) + 5x - 2 = 0
x\(^2\) + 5x/3 - 2/3 = 0
αβ = -2/3
β+α = -5/3
Thus; β+α/αβ = -5/3 ÷ -2/3 = 5/2
Solve the inequality 2 - x > x\(^2\).
x < -2 or x > 1
x > 2 or x< -1
-1 < x < 2
-2 < x < 1
Correct answer is D
2 - x > x\(^2\)
2 - x - x\(^2\) > 0
(x+2)(x-1) < 0
Either (x + 2) > 0 and (x - 1) < 0.
x + 2 > 0 \(\implies\) x > -2.
-2 < x < 1
4
5
6
7
Correct answer is B
y = 10x - x\(^2\)
dy/dx = 10 - 2x
As dy/dx = 0,
10 - 2x = 0
2x = 10
x = 5