Answer:
PR = 12
Step-by-step explanation:
P-----------Q-----------R----------S
ratio
4:2:1
PS = 14
add the ration = 4 + 2 + 1 = 7
14 / 7 = 2
PQ at 4 x 2 = 8
QR at 2 x 2 = 4
RS at 1 x 2 = 2
------------
14
PR = PQ + QR
PR = 8 + 4
PR = 12
Distributive property to become (2x+14)+3x=12
Answer:
y =0
Step-by-step explanation:
From the equation;
8³ × 8⁻⁵×8^y = 8⁻²= 1/8²
From the laws of indices;
aⁿ×aⁿ = a^2n
Therefore;
8³ × 8⁻⁵×8^y = 8^(3+-5+y)
8^(-2+y) = 8^-2 ; but the bases are the same and thus the exponents are the same;
-2 + y = -2
y = 0
The answer to this question is A
3x^2 = 2(x + 4)
3x^2 = 2x + 8
3x^2 - 2x - 8 = 0
(3x + 4)(x - 2) = 0
3x + 4 = 0
3x = -4
x = -4/3
x - 2 = 0
x = 2
solution is : x = -4/3 or x = 2 <==