Answer:
2y + 3 = 4y + 2; y = 1/2
Step-by-step explanation:
to find this equation we can use the ys and the 1s to create an equation
so
in the left side
there are 2 ys and 3 1s
your equation is
2y + 3
on the other side
it is
4 ys and 2 1s
so
4y + 2 is your equation
then yo uset them equal to each other
2y + 3 = 4y + 2
if you must solve
subtract 2y and 2 from both sides
1 = 2y
then divide both sides by 2
y = 1/2 is your answer
5x = length
4x = width
324 = perimeter
formula: P = 2(length) + 2(width)
324 = 2(5x) + 2(4x)
324 = 10x + 8x
324 = 18x
18 = x
Substitute the value of x = 18
Length = 5x = 5(18) = 90meters
Width = 4x = 4(18) = 72meters
The answer is twenty four
Longer leg = x + 4
Shorter leg = x
Hypotenuse = x + 8
Using Pythagorean Theorem:
a^2 + b^2 = c^2
(x + 4)^2 + x^2 = (x + 8)^2
x^2 + 8x + 16 + x^2 = x^2 + 16x + 64
2x^2 + 8x + 16 = x^2 + 16x + 64
2x^2 +8x = x^2 + 16x + 48
2x^2 - 8x = x^2 + 48
x^2 - 8x = 48
x^2 - 8x - 48 = 0
You can complete the square from here or use the quadratic formula.
Completing the square:
x^2 - 8x = 48
x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2
x^2 - 8x + 16 = 48 + 16
(x - 4)(x - 4) = 64 or (x - 4)^2 = 64
x - 4 = +√64 OR x - 4 = -√64
x - 4 = +8 OR x - 4 = -8
x = 12 OR x = -4
However, you can't use negative 4 as a length because your length needs to be a positive.
So x will be 12.
Shorter leg: 12
Longer leg: 12 + 4
Hypotenuse: 12 + 8
Well there are 6 units down and 11 units across so 6•11=66. there are 14 red units. 66-14=52. the area of yellow is 52.
