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ratelena
2 months ago
13

A line contains points M(1, 3) and N(5, 0). What is the slope of MN? negative StartFraction 4 Over 3 EndFraction negative StartF

raction 3 Over 4 EndFraction StartFraction 3 Over 4 EndFraction StartFraction 4 Over 3 EndFraction
Mathematics
2 answers:
Svet_ta [12.7K]2 months ago
8 0

Answer:

The slope is -3/4

Step-by-step explanation:

Given that, the slope of a line with endpoints (x_1, y_1) and (x_2, y_2) is given by

m=\frac{y_2-y_1}{x_2-x_1}

In this case, the line segment MN has endpoints M(1, 3) and N(5, 0)

i.e.

x_1 = 1, y_1 = 3, x_2 = 5, y_2 = 0

Thus, the slope of line MN is calculated as

m=\frac{0-3}{5-1}=\frac{-3}{4}

zzz [12.3K]2 months ago
4 0

(x1,x2), (y1,y2)

(1,3), (5,0)

0-3/5-1

-3/4

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A quarter is approximately 0.07 inches thick. A dollar bill is approximately 4.3 × 10-3 inches thick.
lawyer [12517]

m = 6.57 and n = -2

Detailed explanation:

To solve this question, convert the thickness of a dollar bill into standard notation and compare the two thicknesses.

0.07 compared to 0.0043 results in 0.0657

0.0657 = 6.57 x 10^-2

Thus, a quarter is thicker than a dollar by 6.57 x 10^-2.

m = 6.57 and n = -2

8 0
2 months ago
.580 80 repeating as fraction
Svet_ta [12734]
To start, we will shift the non-repeating segment of the decimal to the left side by dividing by a power of 10.

Then we will assign a variable to represent the value and also shift the repeating segment to the left.

Essentially, the concept here is that we can denote the repeating portion with a variable, let's say "x", and move forward with the calculation;

\bf 0.580\overline{80}\implies \boxed{\cfrac{5.80\overline{80}}{10}}\qquad \textit{now, let's say }x= 5.80\overline{80}\\\\
-------------------------------

\bf thus\qquad \begin{array}{llll}
100\cdot x&=&580.80\overline{80}\\
&&575+5.80\overline{80}\\
&&575+x
\end{array}\qquad \implies 100x=575+x
\\\\\\
99x=575\implies x=\cfrac{575}{99}\qquad therefore\qquad \boxed{\cfrac{5.80\overline{80}}{10}}\implies \cfrac{\quad \frac{575}{99}\quad }{10}
\\\\\\
\cfrac{\quad \frac{575}{99}\quad }{\frac{10}{1}}\implies \cfrac{575}{99}\cdot \cfrac{1}{10}\implies \cfrac{575}{990}\implies \stackrel{simplified}{\cfrac{115}{198}}

you can verify that using your calculator.
4 0
2 months ago
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In a spelling bee, scholarships are awarded to the top three spellers. The first-place speller receives $5,000. The second-place
lawyer [12517]

Answer:

Step-by-step explanation:

7 0
2 months ago
3. At a local restaurant, the health inspector visits every 7 days, and the fire inspector visits every 12 days. (a) Make a tabl
Leona [12618]
Health inspector visits once a week.
Fire inspector comes every 12 days.

a) health inspector fire inspector.
day 7.                    day 12.   
day 14.                    day 24.
day 21.                    day 36.
day 28.                    day 48.
day 35.                    day 60.

b) 12 x 7 = 84.

Both will coincide on day 84.




6 0
2 months ago
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