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zvonat [6]
3 years ago
10

The lines graphed below are parallel. The slope of the red line is -4/3 What is the slope of the green line?

Mathematics
1 answer:
shutvik [7]3 years ago
8 0
Parallel lines always have the same slopes. Therefore if the slope of the red line is -4/3, and the green line is parallel to the red line, then that means the slope of the green line is also -4/3. Hope that helps :)
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Calculate the area, with the appropriate number of significant figures, of a rectangular room that is 14.10 m wide by 15.0 m lon
Paladinen [302]
<h3>Answer: Choice A) 212 square meters</h3>

========================================================

Explanation:

14.10 has four sig figs. The 0 at the end is significant. This measurement is accurate to the hundredths place. If the author wrote 14.1, then it would be accurate to the tenths place with three sig figs.

15.0 has three sig figs. The 0 is significant. If they wrote 15 or 15. then we'd be dealing with 2 sig figs instead; however they placed the 0 there to tell the reader "this measurement is accurate to the tenths place"

---------------------

Multiply the values given

14.10*15.0 = 211.5

Round that to three sig figs. We pick the smaller sig fig count to round to since we cannot be certain it is accurate to four sig figs. In a sense, we pick the weakest link and use that to determine rounding when it comes to multiplication and division.

This means 211.5 rounds to 212

6 0
3 years ago
Which expression is equal to zero? 9 + (– 27) ÷ (– 3)
GrogVix [38]

Answer:

-27÷(-3)-9

=0

Step-by-step explanation:

Hope this helps you.

4 0
2 years ago
The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.
denis-greek [22]
\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b

which means there is some integer k for which a+b=9k.


Because 9\mid a and 9\mid b, there are integers n_1,n_2 such that a=9n_1 and b=9n_2, and


\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42

We have 42=2\cdot3\cdot7, which means there are four possible choices of n_1,n_2:

1, 42
2, 21
3, 14
6, 7

which is to say there are also four corresponding choices for a,b:

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of a+b is 117.
6 0
3 years ago
Donna is going to swim 20 laps. She has completed 6 laps. What fraction of laps has she completed? What fraction of her swim rem
Citrus2011 [14]

Answer:

1.6/20

2.14/20

Step-by-step explanation:

3 0
3 years ago
NEED STEP BY STEP WORK HIGH POINTS
vazorg [7]

Answer:

The awnser is 16 times 2

equals 32

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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