You want to get this equation in slope intercept form and you have,
x+5y=10
You must first move x to the other side and get
5y=-x+10
next we isolate y by dividing by 5
y= -1/5x+2
So, the slope is -1/2 and the yintercept is positive 2.
We can now plot the first point at (0,2). To find the next point, we add the x and y values of our slope to the values for our slope intercept so our second point is (0+5,2-1) or (5,1)
Simplify the following:
1/3 - 1/6 + 4/18
The gcd of 4 and 18 is 2, so 4/18 = (2×2)/(2×9) = 2/2×2/9 = 2/9:
1/3 - 1/6 + 2/9
Put 1/3 - 1/6 + 2/9 over the common denominator 18. 1/3 - 1/6 + 2/9 = 6/18 - 3/18 + (2×2)/18:
6/18 - 3/18 + (2×2)/18
2×2 = 4:
6/18 - 3/18 + 4/18
6/18 - 3/18 + 4/18 = (6 - 3 + 4)/18:
(6 - 3 + 4)/18
6 + 4 = 10:
(10 - 3)/18
10 - 3 = 7:
Answer: 7/18
Answer:
12 in
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A =
h(b₁ + b₂ )
where h is the height and b₁, b₂ the parallel bases
Given h = 6, b₁ = 8 and A = 60 , then
× 6 × (8 + b₂ ) = 60 , that is
3(8 + b₂ ) = 60 ( divide both sides by 3 )
8 + b₂ = 20 ( subtract 8 from both sides )
b₂ = 12
The length of the second base is 12 inches
For this question the answer is the second one