Answer: 24
Step-by-step explanation:
Let the number of defeats be represented by x.
Since the total number of victories exceeds the number of defeats by 4, then the number of victories will be:
= x + 4
We then add the number of victories and losses together and equate them to 44. This will be:
x + x + 4 = 44
2x + 4 = 44
2x = 44 - 4
2x = 40
x = 40/2
x = 20
Therefore number of victories will be:
= x + 4
= 20 + 4
= 24
Answer:
Infinitely many solutions.
Step-by-step explanation:
Any value of X makes the statement true, meaning the solution is all real numbers.
Answer:
B. y = -3/8x - 4
Step-by-step explanation:
Given equation: 3x - 8y = 12
Find a parallel line that matches one of the equations shown.
First, find the slope by solving for y:
3x - 8y = 12
8y = -3x + 12
y = -3/8x + 12/8
y = -3/8x + 3/2
Slope m = -3/8
Since the slope of a line parallel is the same slope, the only equation that fits the conditions is B because in the form y = mx + b, m = -3/8
Answer:
13.98 in²
Step-by-step explanation:
I don't understand it, either.
Point N is part of a "segment" that above and to the right of chord MO. It is the sum of the areas of 3/4 of the circle and a right triangle with 7-inch sides. The larger segment MO to the upper right of chord MO has an area of about 139.95 in², which <u>is not</u> an answer choice.
__
The remaining segment, to the lower left of chord MO does not seem to have anything to do with point N. However, its area is 13.98 in², which <u>is</u> an answer choice. Therefore, we think the question is about this segment, and we wonder why it is called MNO.
The area of a segment is given by the formula ...
A = (1/2)(θ -sin(θ))r² . . . . . . where θ is the central angle in radians.
Here, we have θ = π/2, r = 7 in, so we can compute the area of the smaller segment MO as ...
A = (1/2)(π/2 -sin(π/2))(7 in)² = 24.5(π/2 -1) in² ≈ 13.9845 in²
Rounded to hundredths, this is ...
≈ 13.98 in²
Answer:
3
Step-by-step explanation:
The median is the central number of the data. Align numerically (2, 2, 4, 4) and find the center number. Since there are two, find the average of 2 and 4 to get 3. ([2+4]/2=3)
