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AveGali [126]
3 years ago
10

Which ordered pair is in the solution set of the following system of inequalities? y>0.5x+4 y≥‒3x+10 A. (2, 6) B. (1, 5) C. (

3, 2) D. (4, 5)
Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0
The answer is B. (1,5) because when you insert them into both equations it comes out true for both
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You need to find the LCM of 13 and 14. Would you rather use their multiples or their prime factorizations? Explain.
Vladimir [108]

Answer:

I would rather use their multiples.

Step-by-step explanation:

With 13 and 14, neither number has many factors (and few prime factors, for that matter) so factoring would be pretty much useless. If you wanted to use the prime factors of 14 (7 and 2) multiplying either of them by 13 would not give you the LCM. Actually the LCM is just 13*14 which is 182.

Good luck!

5 0
3 years ago
Why does the multiplicative inverse of a number have the same sign as the number?
denis23 [38]
<span>Look at the definition of multiplicative inverse. If two numbers are multiplicative inverses of each other, then by definition, their product will be equal to 1. And 1 is a positive number. If both numbers being multiplied are positive, then the result is positive. And of both numbers being multiplied are negative, then the result is still positive. But if one number is positive and the other is negative, then the result is negative. So if you want a positive result, then both numbers you're multiplying have to have the same sign. And since we want a result of 1 for multiplicative inverses and since 1 is positive, then the numbers being multiplied have to have the same sign.</span>
7 0
3 years ago
What value added to x2 − 8x would complete the square?
Mazyrski [523]
X^2 - 8x  = (x - 4)^2 - 16

we add 16 to  give   x^2 - 8x + 16  which is a perfect square 

x^2 - 8x + 16  = (x - 4)^2

answer is 16
7 0
3 years ago
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8) A pyramid has a rectangluar base with length 12 km and width of 5 km. If the volume is 200
SashulF [63]

Hi there!

\large\boxed{h = 10km}

We know that the equation for the volume of a pyramid is:

V = 1/3(bh)

We know that:

V = 200 km³

b = 12 × 5 = 60 km²

We can plug these into the equation:

200 = 1/3(60)(h)

Simplify:

200 = 20h

Divide both sides by 20:

200/20 = 20h/20

h = 10 km

6 0
3 years ago
Given m||n, find the value of x.<br> t<br> 140°<br> What is the value of x in this problem
Korolek [52]

Answer:

x = 140

Step-by-step explanation:

x=140°

m || n

3 0
2 years ago
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