Find the value of y for a given value of x, if y varies directly with x.
1 answer:
Answer:
The value of y is 92 . The complete steps of the solution is provided below.
Step-by-step explanation:
We are given with
* y varies directly with X
* If y=128 when x=64.
The equation for direct variation equation is y= k x.
Where 'k' is constant of variation.
By putting the values of x and y, we can find the value for k.
→ 128 = k (64)
Divide both sides by 64.
→ = k
Simplify it.
→ 2= k or k =2
Plug in back 'k' as 2 into the equation y=k x.
We get y=2 x.
We are asked to find the value y when x=46.
Plug in x as 46 into the equation.
⇒ y=2(46)
⇒ y= 92
Thus the answer is 92.
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,so first split them into separate shapes (refer to pic) then calculate each one
I started with the triangle
8×6=48 and 48÷2=24 so the triangles area its 24
next the rectangle
12×8=96
and I did the triangle shape cut out of the square
4×3=12 12÷2=6 so its area is 6
and the squares area is 8×8=64
but u need to subtract 6 from 64 because that area is missing
then you get 64-6=58
then add all the areas
58+24+96 to get your answer of 178m
I started with the triangle
8×6=48 and 48÷2=24 so the triangles area its 24
next the rectangle
12×8=96
and I did the triangle shape cut out of the square
4×3=12 12÷2=6 so its area is 6
and the squares area is 8×8=64
but u need to subtract 6 from 64 because that area is missing
then you get 64-6=58
then add all the areas
58+24+96 to get your answer of 178m