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Sergeu [11.5K]
3 years ago
8

20 PTS WILL GIVE BRAINLIEST PLEASE HELP!!!

Mathematics
1 answer:
GenaCL600 [577]3 years ago
8 0
Question 1 is 44 and 322 
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Choose the correct equation for the line shown on the graph?
fomenos

<u>Answer:</u>

y=-1/4x-1

<u>How to find the </u><u>slope</u>

To find the slope of the line you need to do the change in y/change in x. This is also known as the rise/run. To do this you count the spaces in between the two points.

In this graph the change in y (rise) is 2. The change in x (run) is 8. Since the line is going down they are negative. The rise/run is -2/8. This can be simplified to -1/4.

Slope: -1/4x

<u>How to find the y-intercept</u>

To find the y-intercept, you need to look at where the line crosses y.

In this graph the line crosses y at -1.

Y-intercept: -1

<u>Final</u><u> </u><u>equation</u><u>:</u><u> </u><u>-</u><u>1</u><u>/</u><u>4x-1</u>

3 0
2 years ago
The resquest of the y'+6y=e^4t, y(0)=2
kotegsom [21]
This is a linear differential equation of first order. Solve this by integrating the coefficient of the y term and then raising e to the integrated coefficient to find the integrating factor, i.e. the integrating factor for this problem is e^(6x). 
<span>Multiplying both sides of the equation by the integrating factor: </span>

<span>(y')e^(6x) + 6ye^(6x) = e^(12x) </span>

<span>The left side is the derivative of ye^(6x), hence </span>

<span>d/dx[ye^(6x)] = e^(12x) </span>

<span>Integrating </span>

<span>ye^(6x) = (1/12)e^(12x) + c where c is a constant </span>

<span>y = (1/12)e^(6x) + ce^(-6x) </span>

<span>Use the initial condition y(0)=-8 to find c: </span>

<span>-8 = (1/12) + c </span>
<span>c=-97/12 </span>

<span>Hence </span>

<span>y = (1/12)e^(6x) - (97/12)e^(-6x)</span>
7 0
3 years ago
90/48<br><br> show how you got the answer
DiKsa [7]

Answer: Basically divide both number.

Step-by-step explanation:

Go to App sotr if u got iPhone or if u got android go to play store and download the app called PHOTOMATH and when u scan the answer it's gonna show the steps and the answer.

5 0
3 years ago
Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).
vladimir2022 [97]
What we know:
line P endpoints (4,1) and (2,-5) (made up a line name for the this line)
perpendicular lines' slope are opposite in sign and reciprocals of each other
slope=m=(y2-y1)/(x2-x1)
slope intercept for is y=mx+b

What we need to find: 
line Q (made this name up for this line) , a perpendicular bisector of the line p with given endpoints of  (4,1) and (2,-5)

find slope of line P using (4,1) and (2,-5) 
m=(-5-1)/(2-4)=-6/-2=3

Line P has a slope of 3 that means Line Q has a slope of -1/3.

Now, since we are looking for a perpendicular bisector, I need to find the midpoint of line P to use to create line Q. I will use the midpoint formula using line P's endpoints (4,1) and (2,-5).

midpoint formula: [(x1+x2)/2, (y1+y2)/2)]
midpoint=[(4+2)/2, (1+-5)/2]
              =[6/2, -4/2]
              =(3, -2)

y=mx=b       when m=-1/3 slope of line Q and using point (3,-2) the midpoint                                 of line P where line Q will be a perpendicular bisector

(-2)=-1/3(3)+b               substitution
-2=-1+b                           simplified
-2+1=-1+1+b                 additive inverse
-1=b

Finally, we will use m=-1/3 slope of line Q and y-intercept=b=-1 of line Q
y=-1/3x-1



4 0
3 years ago
Read 2 more answers
Selling price $20.00. rate of sales tax 7% sales tax ?. The sales tax is $_. The cost is $_.​
Igoryamba
The sales tax is $1.40 and the cost is $21.50. I think!
6 0
2 years ago
Read 2 more answers
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