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Anna35 [415]
3 years ago
15

Calculate the slope of the line through the points M(-2, -1) and N(0, -13).

Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

Answer:-6

Step-by-step explanation:

to solve for slope, you have to do (y1-y2)/(x1-x2)

in this problem, that turns into (-1-(-13))/(-2-0)

which is (-1+13)/(-2-0) which is 12/-2 which is -6, your answer

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First change to standard form of first order linear differential equation and then by finding the appropriate integrating factor
Leokris [45]

Answer:

Step-by-step explanation:

Given is a Differential equation as

xy' + y = lnx ; y(e)=1

To bring it to linear form we can divide the full equation by x

y'+\frac{y}{x} =\frac{ln x}{x}

This is of the form

y'+p(x) *y = q(x)

p(x) = 1/x

So find

e^{\int\limits{\frac{1}{x} } \, dx } = e^{ln x} = x

Solution is

xy = \int  {x*lnx /x } \, dx =xln x -x +C

Use the initial value as y(e) =1

e= eln e -e+C\\C=e

So solution is

xy =xln x -x+e

5 0
3 years ago
you have 12 cards. one out of every 4 cards is faceup. the rest are facedown. how many cards are faceup
umka2103 [35]
3 cards 

1/4 = x/12      1/4 = 3/12 
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7 0
2 years ago
calculate the scale factor of abc to def enter answer as a whole number or as a fraction into lowest terms
SVETLANKA909090 [29]

Answer:

Scale is 1/6

Step-by-step explanation:

Since all sides and angles are identical these are congruent triangles

3 ways to solve:

Scale Factor = DE / AB = 12/72 = 1/6

Scale Factor = DF/AC = 7/42 = 1/6

Scale Factor = EF/CB = 11/66 = 1/6

3 0
3 years ago
2x+20=-3x-25 help me solve it
zysi [14]
The correct answer is x= -9. Hope this helps!!
8 0
3 years ago
Read 2 more answers
How do I round 47,283 to the nearest 100,000
rosijanka [135]

The answer is zero.

Explanation:

The 4 is in the ten-thousands place.

Write the number 47,283 with an additional zero in the 100,000 place.

047,283

To round to the nearest 100,000, all digits to the right of the 100,000 place become zero. That means that the digits 47283 all become zero. Since 4 is less than 5, the digit to its left is not raised by 1, so the 100,000 place digit remains zero, and you end up with 000,000, which is simply 0.

Answer: 0

7 0
3 years ago
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