Given that x2 + y2 + z2 = 194, calculate z if x = 7 and √y = 3
√10
8
12.2
13.4
Correct answer is B
Given that x2 + y2 + z2 = 194, calculate z if x = 7 and √y = 3
x = 7
∴ x2 = 49
√y = 3
∴ y2 = 81 = x2 + y2 + z2 = 194
49 + 81 + z2 = 194
130 + z2 = 194
z2 = 194 - 130
= 64
z = √64
= 8
Simplify xx+y + yx−y - x2x2−y2
xx2−y2
y2x2−y2
x2x2−y2
yx2−y2
Correct answer is B
xx+y + yx−y - x2x2−y2
xx+y + yx−y - x2(x+y)(x−y
= x(x−y)+y(x+y)−x2(x+y)(x−y
= x2+xy+xy+y2−x2(x+y)(x−y
= y2(x+y)(x−y)
= y2(x2−y2)
N32.00
N320.00
N420.00
N1680.00
Correct answer is B
Let his assistant work for x days
∴ his master worked (x + 10) day. Amount received by master = 40(x + 10),
amount got by his assistance = 10x
Total amount collected = N2000.00
∴ 40(x + 10) + 10x = 2000
= 40x + 400 + 10x
= 2000
50x + 400 = 2000
50x = 2000 - 400
50x = 1600
x = 160050
x = 32 days
The perimeter of a rectangular lawn is 24m. If the area of the lawn is 35m2; how wide is the lawn?
5cm
7m
12m
14m
Correct answer is A
No explanation has been provided for this answer.
Find the solution of the equation x - 8√x + 15 = 0
3, 5
-3, -5
9, 25
-9, 25
Correct answer is C
x - 8√x + 15 = 0
x + 15 = 8√x
square both sides = (x + 15)2 = (8 √x2
x2 + 225 + 30x = 64x
x2 + 225 + 30x - 64x = 0
x2 - 34x + 225 = 0
(x - 9)(x - 25) = 0
x = 9 or 25