Answer:
8
Step-by-step explanation:
Perimeter is 284 means the sum of the side measurements is 284.
That is, we have to solve:

Combine like terms:

Simplify:

Subtract 12 on both sides:

Simplify:

Divide both sides by 34:

Simplify:

Let Alex's age is x and June's age is y y - x = 7 .........(1)
(x+5) + (y+5) =31
x + y = 21 .........(2)
by adding 1 and 2
2y = 28
y = 14
x = 7
Answer:
y = (-3/2x) + (35/4)
Step-by-step explanation:
So the perpendicular line will have a slope that is the opposite reciprocal of the other line's slope. Solve for the original line's slope first:
2x - 3y = 7 --> -3y = -2x + 7 --> y = (2x/3) - (7/3)
So, the slope of the perpendicular line will be (-3/2x)
Solve for the y-intercept of the perpendicular like by using the linear equation and substituting in (2,8):
8 = (-3/(2*2)) + b --> (32/4) = -(3/4) + b --> b = (35/4)
So, y = (-3/2x) + (35/4)
Hope that helps! :D
Answer:
The slope is -2/3
Step-by-step explanation:
To find the slope of a line between two points, we use the equation
m = (y2-y1)/ (x2-x1)
where (x1,y1) and (x2,y2) are the two points
m = (12-8)/(4-10)
= 4/-6
= -2/3
The slope is -2/3