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Dimas [21]
3 years ago
5

What is the slope of the line passes through the pair of points (-4.1,7.4), (4.3,3.2)

Mathematics
1 answer:
Paladinen [302]3 years ago
3 0
Hi there! The formula for finding the slope is y2 - y1/ x2 - x1. This means you subtract the first x and y-coordinates form the second x and y-coordinates. (-4.1, 7.4) is the first coordinate and (4.3, 3.2) is the second coordiante. Set it up like this:

3.2 - 7.4 / 4.3 - (-4.1)

Now, let's subtract. 3.2 - 7.4 is -4.2. 4.3 - (-4.1) is 9.4. -4.2/9.4 is -0.5 when simplified. There. The slope of the line is -0.5. The answer is C: -0.5.

Note: When you subtract a negative number, you're actually adding. So if an expression is 2 - (-3), the answer is 5, because you add 3 into 2.
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Answer: option d. C (0,3), D (0,5).

Justification:

1) The x - coordinates of the vertices A and B are shown in the diagrama, They are both - 4, so the new vertices C and D must be in a line parallel to y = - 4.

2) The y-coordinates of the  vertices A and B are also shown in the diagrama. They  are equal to 3 and 5 respectively.

3) We can see that the new points C and D must be over a parallel line to y = - 4 and that their distance to the points A and B has to be the same distance of the point R and S to U and T.

That distance is 4, so the line may be y = - 7 or y = 0.

4) If the line is y = 7 the points C and D would have coordinates (-7,3) and (-7,5), but this points are not among the options.

5) If the line is y = 0 the points C and D would have coordinates (0, 3) and (0,5), which is precisely the points of the option d. That is the answer.



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2. The 7th term of an A.P is 27 and the 12th term is 47, what is the sequence?
Vera_Pavlovna [14]

Answer:

<h2>3 + 4(n - 1)</h2>

Step-by-step explanation:

let r be the common differenc of the sequence

Term 12 - Term 7 = (12 - 7)r

then

47 - 27 = 5r

then

20 = 5r

then

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then

27 = term 1 + 6r = term 1 + 24

then

Term1 = 27 - 24 = 3

<em><u>therefore </u></em>

the standard explicit formula of the sequence is :

term 1 + (n - 1)r = 3 + 4(n - 1)

8 0
3 years ago
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