I only know the substitutional method so I am going to give you the answers.
1. (remember I am only using the substitutional method, I am doing the method wrong...)
x + y = 10, 3x - y = 2, 5(3x-y) = 5(2), 15x - 5y = 10, 15x -5y = x + y, 14x = 6y, x = 3/7 y , 3/7 y + y = 10, 10/7y = 10, 10 y = 70, y = 7, 14x = 42. x =3
y = 7, x = 3
2. What I know:
x + y = 6
x + 2x = 6
3x = 6
x = 2, y =4
3. I am using a video to help me remember.
x = 2y + 3 2x + 3y = -3.
-3 = 2y - x -3 = 3y + 2x
0 = - y + 3x, y = 3x
x = 2(3x) + 3, x = 6x + 3
-5x = 3, x = -3/5
y = 3(-3/5)
y = -9/5, x = -3/5
Steps:
1. Find the slope by using the slope formula
Y2-Y1
---------
X2-X1
-11 + 7
----------
-8 + 3
2.
-11 + 7= -4
-8 + 3= -5
3. Your slope is 4/5 (because you have to turn two negatives into a positive)
4. Now you do the point-slope formula
Y-Y1= m(x-x1)
Y +7=4/5 (x +3)
Answer:
The bookshelf will fit between the windows with 1 inch remaining.
Step-by-step explanation:
First, I will convert 6.5 feet to inches.
6.5 × 12 = 78 inches
So, there is 78 inches between the windows.
78 - 77 = 1 inch remaining
The bookshelf will fit between the windows with 1 inch remaining.
Answer:
D
Step-by-step explanation:
The unmarked angle of the triangle is also 40o. The triangle is marked with two equal sides (isosceles).
<2 + 40 + 40 = 180 Combine the left
<2 + 80 = 180 Subtract 80 from both sides
<2 = 180 - 80
<2 = 100 degrees.
That's not the answer. We have to solve for x
<2 = x + 106
100 = x + 106 Subtract 106 from both sides
100 - 106 = x
x = - 6