Answer: unknown (graph not shown)
Explanation: to work out the answer, you need to minus $30 from the amount of money Dakota earnt, and then divide that by 4 to find the amount of each chair.
For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1
So we first need to find the slope of the reference line.
m=(y2-y1)/(x2-x1)=(7-2)/(-1--5)=5/4
So the perpendicular line will have a slope of:
5m/4=-1
m=-4/5
So our perpendicular line so far is:
y=-4x/5+b, now we can use point (3,-1) to solve for the y-intercept, "b"
-1=-4(3)/5+b
-1=-12/5+b
-5/5+12/5=b
7/5=b
So the line is:
y=-4x/5+7/5 or more neatly
y=(-4x+7)/5
y=-0.8x+1.4
Answer:
B. quantity of output per unit of input
Step-by-step explanation:
It is about how much you can produce from a limited amount of resources. e.g. how many problems can you solve in an hour
Answer:
![4y\left(x^2+2x-2\right)](https://tex.z-dn.net/?f=4y%5Cleft%28x%5E2%2B2x-2%5Cright%29)
Step-by-step explanation:
![\mathrm{Rewrite\:}-8\mathrm{\:as\:}2\cdot \:4, \mathrm{rewrite\:}8\mathrm{\:as\:}2\cdot \:4](https://tex.z-dn.net/?f=%5Cmathrm%7BRewrite%5C%3A%7D-8%5Cmathrm%7B%5C%3Aas%5C%3A%7D2%5Ccdot%20%5C%3A4%2C%20%5Cmathrm%7Brewrite%5C%3A%7D8%5Cmathrm%7B%5C%3Aas%5C%3A%7D2%5Ccdot%20%5C%3A4)
![4x^2y+2\cdot \:4xy+2\cdot \:4y](https://tex.z-dn.net/?f=4x%5E2y%2B2%5Ccdot%20%5C%3A4xy%2B2%5Ccdot%20%5C%3A4y)
![4y\left(x^2+2x-2\right)](https://tex.z-dn.net/?f=4y%5Cleft%28x%5E2%2B2x-2%5Cright%29)
We are given
isosceles triangle
and when we draw perpendicular on third sides , it will divide third sides into two equal parts
so,
opposite =38
adjacent =x/2
hypotenuse =43
now, we can use Pythagoras theorem
![38^2+(\frac{x}{2})^2=43^2](https://tex.z-dn.net/?f=%2038%5E2%2B%28%5Cfrac%7Bx%7D%7B2%7D%29%5E2%3D43%5E2%20%20)
now, we can solve for x
![\left(\frac{x}{2}\right)^2=405](https://tex.z-dn.net/?f=%20%5Cleft%28%5Cfrac%7Bx%7D%7B2%7D%5Cright%29%5E2%3D405%20)
............Answer