P=2(w+h)
remember you can do anythig to an equaotn as lng as you do it to both sides
divide both sides by 2
P/2=w+h
subtract w
(P/2)-w=h
Only 2 forces are out of balance - the 22N and the 14N
So the resultant force is 22-14 = 8N.
Answers
1) 1
2) 11
3) 4
4) D) Yes, the constant of variation is 3
Explanation
Q1
The slope of a line is given by
Slope = (change in y)/(change in x)
= (0 - -2)/(-4 - -6)
= 2/2
= 1
Q2
Slope = Δy/Δx
= (8 - -3)/(2 - 1)
= 11/1
= 11
Q3
Y varies directly as X. This is written as,
Y ∞ X
Put and equal sign then introduce the constant of proportionality, K.
Y = KX
K = Y/X
K = 6/18 = 1/3
∴ Y = (1/3)X
Y = (1/3) × 12
Y = 4
Q4
32Y = 96X
Dividing both sides by 32,
Y = 96/32 X
Y = 3X
3 been the constant, Y varies directly as X.
So, the equation 32y = 96x is a direct variation.
Constant of variation = 3
The table is missing, so i have attached it.
Also, the correct question is;
The surface area of the East China Sea is k times the surface area of the Baltic Sea.
Work out the value of k.
Give your answer to the nearest whole number
Answer:
k = 3
Step-by-step explanation:
From the attached table,
Surface area of east china = 1.25 × 10^(6) km²
Surface area of Baltic sea = 4.22 × 10^(5) km² = 0.422 × 10^(6) km²
We are told that the surface area of East China Sea is k times that of the surface area of the Baltic Sea.
Thus;
1.25 × 10^(6) = k × 0.422 × 10^(6)
k = 1.25/0.422
k = 2.96
Approximating to whole number gives;
k = 3