Simple, use the process of elimination to figure this out:
4x-y=2
2x+9y=-12
Convert these, to be able to find either x or y.
2(4x-y=2) 8x-2y=4 multiply by 2.
then
4(2x+9y=-12) 8x+36y=-48
Which makes them
8x-2y=4
-
8x+36y=-48
-38y=52
This simplified makes it y= -26/19.
Then plug y back into the original equation
4x-y=2
4x-(-26/19)=2
Making it x= 3/19.
Thus your Point of Intersection is at (3/19, -26/19)
The given equation of the line, y = 8, is very independent of the value of x. This means that it will take any value for x while y will also be 8. The answer to the question above is letter D. (0, 8) and (8, 8).
If two angles are complementary, it means that they add up to 90 degrees.
It two angles are congruent, it means that they have the same angle measure.
Let the angle measure of AXB = x
and the angle measure of BXC = y
Because the two angles are complementary i.e. they add to 90:
x + y = 90
Because the two angles are congruent i.e. they equal each other:
x = y
Plug x = y back into the first equation.
x + x = 90
x = 45
y = 45
Angles AXB and BXC are both 45 degrees.
Let's rewrite the mathematical expressions:
3 1/6 = 3.166666667
1 5/6 = 1.833333333
Subtracting both expressions we have:
3.166666667- 1.833333333 = 1.727272727
Answer:
Sean's ribbon is 1.727272727 in long than Fran's