Given:
a varies jointly as b and c.
a=6 when b=2 and a=3.
To find:
The variation constant and the equation of variation.
Solution:
a varies jointly as b and c.
...(i)
Where, k is the constant of proportionality.
a=6 when b=2 and a=3.
The value of k is 1.
Putting k=1 in (i), we get
Therefore, the variation constant is 1 and the equation of variation is .
P = perimeter
Perimeter of a rectangle = l + l + w + w
or P = 2l + 2w
You know:
P = 150 m
l = w + 5 [length is 5 m greater than the width]
P = 2l + 2w Plug in what you know
150 = 2(w + 5) + 2w Simplify, distribute/multiply 2 into (w + 5)
150 = 2w + 10 + 2w
150 = 4w + 10 Subtract 10 to both sides of the equation
140 = 4w Divide 4 on both sides
35 = w
PROOF l = w + 5 ---> l = 40
P = 2l + 2w
150 = 2(40) + 2(35)
150 = 80 + 70
150 = 150
Since this can’t be factored easily, you have to use synthetic division. This makes the answer x+4+(-1/x+5)
Answer:
3. i think 15.5
4. 140*
Step-by-step explanation:
in number 4, d is a vertical angle to the angle measured at 140.
in number 3, QV=SV, so 17=4x-1 18=4x 18/4=x x=4.5
and TS=TQ, so 3(x) + 2 = 3(4.5) + 2 = 13.5 + 2 = 15.5 =TQ
