Answer:
first we get y on one side by itself.
4x+5y=5
we'll move x to the other side.
4x-4x+5y=5-4x
simplify.
5y=5-4x
now we get rid of the coefficient on y.
5y/5=(5-4x)/5
simplify.
y=5/5-4x/5
y=1- 
The answer is 
You have not provided the diagram/coordinates for point Q, therefore, I cannot provide an exact answer.
However, I can help you with the concept.
When rotating a point 90° counter clock-wise, the following happens:
coordinates of the original point: (x,y)
coordinates of the image point: (-y,x)
Examples:
point (2,5) when rotated 90° counter clock-wise, the coordinates of the image would be (-5,2)
point (1,9) when rotated 90° counter clock-wise, the coordinates of the image would be (-9,1)
point (7,4) when rotated 90° counter clock-wise, the coordinates of the image would be (-4,7)
Therefore, for the given point Q, all you have to do to get the coordinates of the image is apply the transformation:
(x,y) .............> are changed into.............> (-y,x)
Hope this helps :)
Answer:
9sqrt(3) in.
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
If the short leg measures 1, then the hypotenuse measures 2.
The length of the hypotenuse is twice the length of the short leg.
The length of the long leg is sqrt(3) times the length of the short leg.
If the hypotenuse measures 18 in., then the short leg measures 9 in.
Then the long leg measures 9sqrt(3) in.
Answer:
1. 8 + 4 = 12 x 6 = 72
2. 9 + 6 = 15 x 4 = 60
3. 11 + 8 = 19 x 6 = 114
4. 4 + 6 = 10 x 5 = 50
5. 7 + 3 = 10 x 8 = 80
6. 8 + 12 = 20 x 9 = 180
7. 5 + 10 = 15 x 8 = 120
8. 19 + 13 = 32 x 10 = 320
9. 3 + 6 = 9 x 2 = 18
Area of a trapezoid:
Base 1 + Base 2 times Height times a half (basically dividing by 2).
