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ch4aika [34]
3 years ago
6

What is the slope of the line shown?

Mathematics
2 answers:
ch4aika [34]3 years ago
7 0

Answer:

Option (b) is correct.

The slope of line shown in given graph is \frac{9}{7}

Step-by-step explanation:

Given: A graph with an equation of line having two points (1,6) and  (-6, -3)

We have to find the slope of the given line in graph and choose the correct from the given options.

Consider the two points (1,6) and  (-6, -3).

Slope between two points can be calculated using the formula as,

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

Here, \left(x_1,\:y_1\right)=\left(1,\:6\right),\:\left(x_2,\:y_2\right)=\left(-6,\:-3\right)

Thus, Slope is

m=\frac{-3-6}{-6-1}=\frac{9}{7}

Thus, The slope of line shown in given graph is \frac{9}{7}

Dima020 [189]3 years ago
3 0
The slope is positive 9/7 bc you go up 9 from the first point and 7 to the right
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leontyne sings for $1,000 an hour. Her rate increases by 50 percent after midnight. If she sings one night from 8:30 pm until 1:
iren2701 [21]
From 8.30 pm to 12 : 00

Difference = 12 : 00 - 08:30 = 3 : 30

3 hours 30 minutes = 3.5 hours.

Total for those hours = 3.5 * 1000 = $3500

From 12:00 to 1:00 am  = 1 hour.

50% increase =  50% of 1000 = .50 * 1000 = 500

So it will increase to 1000 + 500 = $1500 per hour.

For the 1 hour extra, 1 * 1500 = $1500

Total = $3500 + $1500 = $5000

She will be paid $5000
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3 years ago
Describe a pattern in each sequence. what are the next two terms of each sequence ? 2,4,8,16​
yan [13]

Answer:

You are mulitplying the last number by two. The next two terms are 32 and 64.

Step-by-step explanation:

8 0
3 years ago
Urban rail systems have been proposed to alleviate traffic congestion, but results in many cities have been cited as evidence th
BartSMP [9]

Answer:

C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion

Step-by-step explanation:

The correct option is - C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion

Reason -

Option A is incorrect because the statistics can not be incorrect.

Option B is incorrect because they are not talking about the city.

Option C is correct because Urban rail reduces congestion.

Option D is incorrect because the opposers cited the example of one city and the supporters are presenting evidence in the case of that city itself.

Option E is incorrect because they are providing an explanation for why the commuters data given by opposers is not relevant. The opposers talked about commuters.

5 0
3 years ago
Solve the following triangle. Given A=51 degrees b=40 c=45
STALIN [3.7K]

Answer:

a=36.87\ units

B=57.47^o

C=71.53^o

Step-by-step explanation:

step 1

Find the length side a

Applying the law of cosines

a^2=b^2+c^2-2(b)(c)cos(A)

substitute the given values

a^2=40^2+45^2-2(40)(45)cos(51^o)

a^2=1,359.4466

a=36.87\ units

step 2

Find the measure of angle B

Applying the law of sines

\frac{a}{sin(A)} =\frac{b}{sin(B)}

substitute the given values

\frac{36.87}{sin(51^o)} =\frac{40}{sin(B)}

sin(B)=\frac{sin(51^o)}{36.87}{40}

B=sin^{-1}(\frac{sin(51^o)}{36.87}{40})=57.47^o

step 3

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180^o

substitute the given values

51^o+57.47^o+C=180^o

108.47^o+C=180^o

C=180^o-108.47^o=71.53^o

5 0
3 years ago
tim spends 25% of his time at the gym dooing leg exercises , 1/5 on shoulder exercises , 0.35 on biceps exercises , and warming
svetoff [14.1K]

Answer:

20%

Step-by-step explanation:

1/5 of 1 hour = 20 minutes

so 1/5 = 20%

25% + 20% = 45%

0.35 = 35%

45% + 35% = 80%

100% - 80% = 20%

Answer = 20%

Hope this helps!

3 0
3 years ago
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