Answer:
The unknown dimension is 35
Step-by-step explanation:
The perimeter of a rectangle is l+l+w+w or 2l+2w (l=length, w=width)
![l+l+w+w=84](https://tex.z-dn.net/?f=l%2Bl%2Bw%2Bw%3D84)
![7+7+w+w=84](https://tex.z-dn.net/?f=7%2B7%2Bw%2Bw%3D84)
![14+w+w=84](https://tex.z-dn.net/?f=14%2Bw%2Bw%3D84)
then we subtract 14 from 84
![w+w=70](https://tex.z-dn.net/?f=w%2Bw%3D70)
![2w=70](https://tex.z-dn.net/?f=2w%3D70)
![\frac{70}{2}=35](https://tex.z-dn.net/?f=%5Cfrac%7B70%7D%7B2%7D%3D35)
Let's check our answer
![35+35+7+7=84](https://tex.z-dn.net/?f=35%2B35%2B7%2B7%3D84)
<u>Hope this helps :-)</u>
<span> When area is equal 1120. We can write an equation
(x+4)(-x+64)=1120
-x²-4x+64x+256=1120
-x²+60x+256-1120=0
-x²+60x-864=0
D=b² - 4ac= 3600-4*864=144, √D=12
x= (-b+/-√D)/2a
x=(-60+/-12)/(-2)
x=24, x=36
For x=24
(x+4)=24+4=28
(-x+64)=(-24+64)=40
For x=36
(x+4)=36+4=40
(x-64) =(-36+64)=28
So sides should be 28 and 40 in.
We did not get any extraneous solutions. They could be if we get negative length side, for example. They can come because a quadratic equation can
give positive and negative numbers because a^2 and (-a)^2 give the same positive number.
We chose to solve this equation using formula for quadratic equations, because this equation has too big numbers to solve it using other methods.
</span>
We know that the slope-intercept form of an equation is represented by:
y = mx + b
Where m is the slope, b is the y-intercept, and x and y pertain to points on the line in the graph.
So the slope of the line is know to be 3, and we are able to plug that into the equation:
y = 3x + b
We also know that the point (-2, 6) is on the line. With this information, we can then plug in the point into the equation to find b:
6 = 3(-2) + b
Then we can solve for b:
6 = -6 + b
b = 12
Knowing that b is 12, we can then rewrite the equation in a more general slope-intercept form that is applicable to any point on that line:
y = 3x + 12
Thus, your answer would be C.
It is 23.917 because 51.92-28.003= to that number
Answer:
you have to decide what one you need to take it all depends on ur grade, GPA, and what you know
Step-by-step explanation: