Answer:
The slope is -2/9
Step-by-step explanation:
9y + 2x = 54
Solve for y to get the equation in the form
y = mx+b where m is the slope and b is the y intercept
Subtract 2x from each side
9y + 2x -2x = -2x+54
9y = -2x+54
Divide by 9
9y/9 = -2x/9 + 54/9
y = -2/9 x +6
The slope is -2/9
Parallel lines have the same slope
Answer: choice 1 and 6
Step-by-step explanation:
just plug in 9 for every X making sure they equal each other.
Answer:7
Step-by-step explanation:
Answer:
It would be 8
Step-by-step explanation:
Answer:

Step-by-step explanation:
In rectangle ABCD, AB = 6, BC = 8, and DE = DF.
ΔDEF is one-fourth the area of rectangle ABCD.
We want to determine the length of EF.
First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

The area of the triangle is 1/4 of this. Therefore:

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

Since DE = DF:

Thus:

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

Therefore:

Square:

Add:

And finally, we can take the square root of both sides:
