Answer: 14s - 7s/2 = 84
Step-by-step explanation:
Given that s is the length of the unknown side:
Area of the shaded region = 84
Area of rectangle - Area of triangle = 84
Area of rectangle = L * W
= 14 * s
= 14s
Area of triangle = ¹/₂ * base * height
= ¹/₂ * 14 * s/2
= 7s/2
Area of shaded region:
14s - 7s/2 = 84
Solving for s:
14s - 7s/2 = 84
28s - 7s = 168
21s = 168
s = 168/21
s = 8 inches
Therefore, the slope of the line is 1. In case if you want to know the equation.
Therefore, the equation is y=x+10 by substituting the (-6,4) or we can substitute (6,16) too.
It's the same, you can use any orders given.
Overall, the slope is 1 and the equation is y=x+10
Answer:
468.75 square inches
Step-by-step explanation:
Let the length of Julian's tank be x
Let the width of Julian's tank be y
So, Area of Julian's tank=
Since we are given that Julian's tank is approximately 300 square inches
So, --1
Now we are given that The dimensions of his friend's tank are each exactlytimes the dimensions of Julian's tank.
So,length of his friend's tank =
So,width of his friend's tank =
So, Area of his friend's tank=
=
= (Using 1)
=
Hence the approximate area of the rectangular base of his friend's tank is 468.75 square inches.
So, Option D is correct.