First, we set up the mixed number 7 3/8 with different colors, so it is easy to follow along:
7
3
8
Step 2 - Multiply
Next, we multiply the whole number by the denominator.
7 x 8 = 56
Step 3 - Add Numerator
Then, we add the numerator to the answer we got in Step 2.
56 + 3 = 59
Step 4 - Solution
Finally, to get the solution, we keep the original denominator and make the numerator the answer from Step 3. Thus, 7 3/8 as an improper fraction is:
59
8
Answer:
A. Add the endpoints
C. Divide -12 by 2
Step-by-step explanation:
To find the midpoint of the vertical line segment with endpoints (0, 0) and (0, -12).
Step 1: Add the endpoints (y-coordinates)
0+-12=-12
Step 2: Divide -12 by 2
-12/2=-6
Therefore, the y-coordinate of the midpoint of a vertical line segment is -6.
Options A and C are correct.
When (-5, 2) is reflected across the y-axis then it becomes (5, 2). When (-5, 2) is reflected across the x-axis, it becomes (-5, -2)
I hope this helps out!
Answer:
Here's what we know:
A = Lw (Area is length times width)
L = 2w + 6 (length is twice the width plus 6)
A = 140 (Area is 140 m2)
Plug in the variable values:
140 = w(2w + 6)
Distribute:
140 = 2w2 + 6w
Subtract 140:
2w2 + 6w - 140 = 0
Factor out a 2:
2(w2 + 3w - 70) = 0
Divide both sides by 2:
w2 + 3w - 70 = 0
(w + m)(w - n)
When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:
(w + 10)(w - 7) = 0
w = -10, 7
We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.
L = 2 * 7 + 6
L = 14 + 6
L = 20
Check:
140 = 20 * 7
140 = 140
