It’s either -538 or +538 depends the circumstances
Step-by-step explanation:
x+4y = 2
4y= -x+2
![y = \frac{ - 1}{4} x + \frac{1}{2}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B%20-%201%7D%7B4%7D%20x%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%20)
slope of the above line = -1/4
The slope of the required line which is perpendicular to this line = 4
And, the required line also passes through(-2,6)
![\frac{y - 6}{x - ( - 2)} = 4](https://tex.z-dn.net/?f=%20%5Cfrac%7By%20-%206%7D%7Bx%20-%20%28%20-%202%29%7D%20%20%3D%204)
![\frac{y - 6}{x + 2} = 4](https://tex.z-dn.net/?f=%20%5Cfrac%7By%20-%206%7D%7Bx%20%2B%202%7D%20%20%3D%204)
![y - 6 = 4(x + 2)](https://tex.z-dn.net/?f=y%20-%206%20%3D%204%28x%20%2B%202%29)
![y - 6 = 4x + 8](https://tex.z-dn.net/?f=y%20%20-%206%20%3D%204x%20%2B%208)
![4x + 8 - y + 6 = 0](https://tex.z-dn.net/?f=4x%20%2B%208%20-%20y%20%2B%206%20%3D%200)
![4x - y + 14 =0](https://tex.z-dn.net/?f=4x%20-%20y%20%2B%2014%20%3D0)
The equation of the line that is perpendicular to the line x+4y=2 and goes through the point (-2,6)
4x-y+14=0
Answer:
Rose will have 2.32$ leftover. She is able to get 3 more bouncy balls.
Step-by-step explanation:
To get the cost of 12 bouncy balls - 12*0.64 = 7.68$
To get the leftover amount - 10.00-7.68 = 2.32$
To find how many more bouncy balls she could get - 2.32/0.64 = 3.625 which is then 3 bouncy balls because you cannot buy .625 of a bouncy ball.
Answer: I think so the answer is -3 3/7
HOPE THIS HELPS
Remark
This is quite a nice little problem. It takes a minute or three to figure out the answer, and when you do, you will be certain that you have been tricked. It is a little like the egg of Columbus.
Solution
The Base of Triangle ABN is AB
The Base of Triangle CDM is CD
The height of both given triangles is h. That is the distance between the two parallel lines.
Area ABN = 1/2*AB * h = 23 cm^2
Area CDM = 1/2*CD * h = 18 cm^2
Now the Area of the trapezoid is
Area_Trapezoid = 1/2 * h (AB + CD) Using the distributive property Remove the brackets.
Area_Trapezoid = 1/2*AB*h + 1/2*CD*h Did you notice something? Those terms are just the area of the triangles (written above.)
Area Trapezoid = 23 + 18 = 41 cm^2 <<<< Answer