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aleksklad [387]
3 years ago
8

The table lists several points that form a line on a coordinate plane.

Mathematics
1 answer:
omeli [17]3 years ago
6 0

Answer:

Slope is 1/4 (0.25) while y-intercept is 5

Step-by-step explanation:

Here, we are interested in getting the y intercept and slope of the line joining the given points.

We can get the slope by using any two points

Let’s say (4,6) and (12,8)

Mathematically; slope

= (y2-y1)/(x2-x1) = (8-6)/(12-4) = 2/8 = 1/4 = 0.25

To get the y-intercept, we proceed

kindly recall that the equation of a straight line is;

y = mx + c

where m is the slope and c is the y-intercept

Let’s take any of the points (28,12)

Thus:

12 = 0.25(28) + c

12 = 7 + c

c = 12-7

c = 5

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A woman prospecting for successful business travels 16km from a point P to a point Q on a bearing of 065°. She then travels to p
SashulF [63]

Answer:

The distance PR is 21.6 Km

Step-by-step explanation:

Please find the attached document for explanation.

Also, I applied Cosine rule to determine the distance PR, since  i have an angle (Q) in between two given sides of the triangle.

8 0
3 years ago
Which number line correctly shows 4. 5 + 2. 5? A number line going from 0 to 4. 5 in increments of 0. 5. An arrow goes from 0 to
sesenic [268]

So none of the options is actually correct from the given operation of:

4.5 + 2.5

This actually would be represented with a line that goes from 0 to 4.5, and then from 4.5 to 7.

The number line should start at 0 and then move to the first number (because of the commutative property of the sum, it can move to any one of the two numbers).

Once there, it moves accordingly to the other number.

So it moves first from 0 to 4.5, then the second number is 2.5, then it moves another 2.5 units to the right until the:

4.5 + 2.5 = 7

Concluding, <u><em>it moves from 0 to 4.5, then from 4.5 to 7.</em></u>

Notice that none of the options represent this, this may be because the sign of one of the two numbers is incorrect or something like that.

For example, if we had the operation:

4.5 - 2.5

Then the line starts at 0 and then goes to 4.5, then moves left 2.5 units to 4.5 - 2.5 = 2

In this case, the correct option should be:

<u><em>"An arrow goes from 0 to 4. 5 and then backwards from 4. 5 to 2."</em></u>

<u><em /></u>

<u><em /></u>

If you want to learn more about number lines, you can read:

brainly.com/question/13189025

3 0
2 years ago
7 | 3 + T | + 8 &lt; 43
ziro4ka [17]

Answer:

T<7

Step-by-step explanation:

21+7T+8<43

29+7T<43

7T<43‒29

7T<14

7T/7<14/7

T<7

i think it is clear &i hope it helps you

3 0
3 years ago
A garden table and a bench cost 930 combined. The garden table costs $80 more than the bench. What is the cost of the bench?
pychu [463]

Answer:

505+425

Step-by-step explanation:

u just subtract 930 x 2

8 0
3 years ago
Read 2 more answers
Alicia drew a pentagon with equal side lengths and equal angles. Then she added red lines of symmetry to her drawing. How many l
son4ous [18]
A pentagon is a regular polygon with five equal sides and five equal interior angles. Also, it has five vertices. To draw the line that would divide the figure equally into two, we simply have to draw a line from one vertex and then extend the line to the opposite side.

Since, there are five vertices then, she will be able to draw five. 

<em>Answer: 5</em>
8 0
3 years ago
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