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Leto [7]
3 years ago
13

In slope-intercept form, what is the equation of the line passing through the points (3, 17) and (7, 25)?

Mathematics
2 answers:
Jobisdone [24]3 years ago
4 0
The answer would be D.y=2x+11
EleoNora [17]3 years ago
3 0

Answer: D. y = 2x + 11

Step-by-step explanation:

The slope-intercept form is:

y=mx+b

where m is the slope of the line and b is the y-intercept.

To find the slope:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{25-17}{7-3}=\frac{8}{4}=2

Then, the slope-intercept form so far is: y=2x+b

Now, to find the y-intercept, you're going to choose one of the two points given and substitute it into the equation (the first coordinate into the x, and the second coordinate into the y), and then isolate the b. In this case, let's use the first point (3, 17):

y=2x+b\\17=2(3)+b\\b=17-6\\b=11

Substituting, you're left with the final slope-intercept form equation of the line passing through (3, 17) and (7, 25):

y=2x+11

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creativ13 [48]

Answer:

  x = 49°

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement:

  x = 90° -41° = 49°

5 0
3 years ago
When x=16 the value of y is 28. write an equation for y in terms of x
Burka [1]

Answer:

ig if it is brainiest

Step-by-step explanation:

y=1.75

4 0
3 years ago
100 POINTS!!! PLEASE I NEED HELP DUE TODAY!!!!
Volgvan

Using weighed averages, it is found that:

  1. The final grade is 91.
  2. The final grade is 66.8.
  3. The higher grade would be 79.55, with the second grading scheme.
  4. On average, she sold $48,280 per day.
  5. On average, she makes $12.5 per hour.

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

To find the weighed average, we multiply each value by it's weight.

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

Question 1:

  • Grade of 91, with a weight of 67%.
  • Grade of 91, with a weight of 33%.

Thus:

F = 91\times0.67 + 91\times0.33 = 91

The final grade is 91.

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

Question 2:

  • Grade of 83, with a weight of 40%(highest grade).
  • Grade of 60, with a weight of 30%.
  • Grade of 52, with a weight of 30%.

Thus:

F = 83\times0.4 + 60\times0.3 + 52\times0.3 = 66.8

The final grade is 66.8.

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

Question 3:

With teacher 1:

  • 75 with a weight of 25%.
  • 80 with a weight of 10%.
  • 85 with a weight of 40%.
  • 62 with a grade of 25%.

Thus:

F_1 = 75\times0.25 + 80\times0.1 + 85\times0.4 + 62\times0.25 = 76.25

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

With teacher 2:

  • 75 with a weight of 15%.
  • 80 with a weight of 10%.
  • 85 with a weight of 60%.
  • 62 with a weight of 15%.

Thus:

F_2 = 75\times0.15 + 80\times0.1 + 85\times0.6 + 62\times0.15 = 79.55

The higher grade would be 79.55, with the second grading scheme.

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

Question 4:

  • Average of $36,432, with a weight of \frac{3}{3+10} = \frac{3}{13}
  • Average of $51,834, with a weight of \frac{10}{13}

Thus:

A = 36432\frac{3}{13} + 51834\frac{10}{13} = \frac{36432\times3 + 51834\times10}{13} = 48280

On average, she sold $48,280 per day.

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

Question 5:

  • Average of $14.84, with a weight of \frac{6}{6+8} = \frac{6}{14} = \frac{3}{7}
  • Average of $10.76, with a weight of \frac{4}{7}

Thus:

A = 14.84\frac{3}{7} + 10.76\frac{4}{7} = \frac{14.84\times3 + 10.76\times4}{7} = 12.5

On average, she makes $12.5 per hour.

A similar problem is given at brainly.com/question/24398353

5 0
3 years ago
ABCD is a square. The perimeter is 200 ft. AB = 5x + 20. Find the value of x.
Naddik [55]

Answer:

x=6

Step-by-step explanation:

Each side equals 50ft. 5x+20=50

minus 20 on both sides

5x=30

divide by 5 on both sides

x=6

7 0
2 years ago
A-5-b; use a =10 and b =4
fomenos

Answer:

1

Step-by-step explanation:

10-5-4 = 1

5 0
3 years ago
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