Consider factors of 42, then if the factors can be added or subtracted.
42 = 42 * 1
42 = 21 * 2
42 = 14 * 3
42 = 7 * 6
Since none of these can be added or subtracted to equal 15, no intergers satisfy these criteria.
Answer:
∠g = 142°
Step-by-step explanation:
∠g = 180 - 38 = 142°
Answer:
C(x) = 12x + 1680
Slope = 12
Intercept = 1680
Step-by-step explanation:
Given that:
X1 = 60 chairs ; y1 = 2400
X2 = 260 chairs ; y2 = 4800
Obtain the slope ; m
m = y2 - y1 / x2 - x1
m = 4800 - 2400 / 260 - 60
m = 2400 / 200
m = 12
Using the point slope relation:
y - y1 = m(x - x1)
y - 2400 = 12(x - 60)
y - 2400 = 12x - 720
y = 12x - 720 + 2400
y = 12x + 1680
C(x) = 12x + 1680
From the general slope intercept equation :
y = mx + c
m = slope ; c = intercept
Hence,
C(x) = 12x + 1680
Slope = 12
Intercept = 1680
Answer:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
Step-by-step explanation:
Hope that helps you out!
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Have a good day!
Answers:
- Shortest Length = LN
- Middle Length = LM
- Longest Length = MN
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Explanation:
Let's find the missing angle.
For any triangle, the three interior angles always add to 180
L+M+N = 180
75+50+N = 180
N+125 = 180
N = 180-125
N = 55
So we know the three angles of the triangle are
We see that M = 50 is the smallest angle, so the smallest side is the segment opposite this angle. The smallest side is LN. The smallest side is always opposite the smallest angle.
Similarly, the largest side is always opposite the largest angle. The largest angle here is L = 75, so the largest side is MN.
The middle side must therefore be LM.
The diagram below shows a visual summary.
