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3 years ago

What is the slope of the straight line through points (-2,4) and (5,-1) ?

1 answer:

3 0

The slope can be calculated by subtracting the y values (the rises) and dividing the difference by the difference between the x values (the runs) to get rise over run. -1-4= -5 (differences in y's) & 5-(-2)= 7 (the differences in the x's). now divide the difference in the y' by the difference in the x's to get m= -5/7.

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Furkat [3]

Please explain more to the question where do the numbers go

4 0

3 years ago

Read 2 more answers

Solve the following initial-value problem:<br><br> (ex+y)dx+(3+x+yey)dy=0, y(0)=1<br><br> 0=

alex41 [277]

Answer:

$e^x+xy+3y+(y-1)e^y=4$

Step-by-step explanation:

Given that

$(e^x+y)dx+(3+x+ye^y)dy=0$

Here

$M=e^x+y$

$N=3+x+ye^y$

We know that

M dx + N dy=0 will be exact if

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$

$\frac{\partial M}{\partial y}=1$

$\frac{\partial N}{\partial x}=1$

it means that this is a exact equation.

$\int d\left(e^x+xy+3y+(y-1)e^y\right)=0$

Noe by integrating above equation

$e^x+xy+3y+(y-1)e^y=C$

Given that

x= 0 then y= 1

$e^0+0+3+(1-1)e^1=C$

C=4

So the our final equation will be

$e^x+xy+3y+(y-1)e^y=4$

3 0

2 years ago

Which state below is incorrect.

Reika [66]

Answer:

Last one

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What is a rational number

Murrr4er [49]

Answer:

Rational numbers are numbers that can be written as fractions, unlike π, which never ends and cannot be expressed as a fraction.

I am joyous to assist you anytime.

8 0

3 years ago

Find all the powers of 4 in the range 4 through 1000

marissa [1.9K]

Powers of 4 are like 4^1, 4^2, 4^3 and so on
remember that 4^x means 4 times itself x times for example
4^3=4 times iteslef 3 times=4 times 4 times 4

so the multipules of the powers of 4 are just 4 times of the previous
so we will list

4^1=4
4^2=16
4^3=64
4^4=256
4^5=1024

1024 is already more than 1000 so the list stops and is
1,16,64,256

8 0

2 years ago