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Anna35 [415]
3 years ago
15

Which of the following statements are true about the line y = mx + b?

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
3 0
I would have to go with C and D on this one.
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Please hurry up and help me thanks
labwork [276]

Answer:

Line 1: m = 2

Line 2: m = 2

The lines are parallel.

Step-by-step explanation:

First, ensure both lines are in the slope-intercept form given as y = mx + b. where m is the slope of the line.

If the slope of both lines are the same, they are parallel.

If the slope of one is the negative reciprocal of the other, they are perpendicular.

If the slope of both lines are different and one is neither the reciprocal of the other, then they are neither parallel nor perpendicular.

✍️Line 1, y = 2x + 5, is already in the slope-intercept form.

✅The slope of Line 1 is 2

✍️Line 2, y - 3 = 2(x + 15), is in point-slope.

We can decide to rewrite in the slope-intercept form or directly determine the slope as it is given. The slope is 2. But to be sure, let's rewrite as y = mx + b.

y - 3 = 2(x + 15)

y - 3 = 2x + 30

Add 3 to both sides

y = 2x + 33

✅As we can see, the slope of line 2 is 2.

✍️Line 1 and line 2 has the same slope of 2, therefore the lines are parallel.

4 0
2 years ago
Shannon set her watch 3 seconds behind, and it falls behind another 2 seconds everyday. How many days has it been since Shannon
GrogVix [38]
The answer is 32 all you have to do to get you answer is add 3 and 2 which gives you 5 and you add it up until you get to 67 and you have to see how many times you add it up to get the answer which is 3 or a shorter way is 31 times 2 plus 5 and it gives you 67
8 0
3 years ago
Help please this my little brother work
masha68 [24]
Huh? What do you mean I don't understand
7 0
3 years ago
Read 2 more answers
HELPPP!!!!!!
Furkat [3]
<h3>Answer: Choice D)  31.2 miles</h3>

This value is approximate.

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

Explanation:

Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.

Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.

Based on those two interior angles, angle C must be...

A+B+C = 180

107+42+C = 180

149+C = 180

C = 180-149

C = 31

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

To sum things up so far, we have these known properties of triangle ABC

  • angle A = 107 degrees
  • side c = side AB = 24 miles
  • angle B = 42 degrees
  • angle C = 31 degrees

Let's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).

b/sin(B) = c/sin(C)

b/sin(42) = 24/sin(31)

b = sin(42)*24/sin(31)

b = 31.1804803080182 which is approximate

b = 31.2 miles is the distance from the storm to station A

Make sure your calculator is in degree mode.

8 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Misha Larkins [42]

Answer:

divide the determine by 2 and your answer will match the radius

4 0
2 years ago
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