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Sever21 [200]
3 years ago
5

What is the equation of a line that passes through the points (4,-7) and (2,-1)?

Mathematics
1 answer:
Lena [83]3 years ago
3 0

Answer:

y=-3x+5

Step-by-step explanation:

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Evaluate the integral. (remember to use absolute values where appropriate. Use c for the constant of integration.) 5 cot5(θ) sin
ozzi

I=5\int \frac{cos^{4}\theta }{sin\theta }\times cos\theta d\theta \\\\I=5\int \left ( 1-sin^{2}\theta  \right )^{2}\times \frac{cos\theta }{sin\theta }d\theta \\put\ \sin\theta =t\\\\dt=cos\theta d\theta \\\\I=5\int\frac{t^{4}+1-2t^{2}}{t}dt\ \ \ \ \ \ \ \ \ \ \because (a-b)^2=a^2+b^2-2ab\\\\I=5\left ( \int t^{3}dt + \int \frac{1}{t} -2\int t \right )dt

by using the integration formula

we get,

\\I=5\left ( \frac{t^{4}}{4} +logt -t^{2}\right )\\\\I=\frac{5}{4}t^{4}+5\log t-5t^{2}+c

now put the value of t=\sin\theta in the above equation

we get,

\int 5\cot^5\theta \sin^4\theta d\theta=\frac{5}{4}sin^{4}\theta+5\log \sin\theta - 5sin^{2} \theta+c

hence proved

7 0
3 years ago
a doctor prescribes 30 units of a medication in 500 ml to be administered over 5 hours. How many drops per minute should be admi
Anna35 [415]
The answer is 83 1/3 per min
3 0
3 years ago
Read 2 more answers
Which is true about the solution to the system of inequalities shown? y > 3x + 1 y < 3x – 3 On a coordinate plane, 2 solid
Novay_Z [31]

The true option about the solution to the system of inequalities shown is  B. The second line has a positive slope and goes through (0, negative 3) and (1, 0).

<h3>How to explain the inequality?</h3>

Plot these ordered pairs on a coordinate plane and connect them by straight lines.

The sign of both inequalities is "<"which means both lines are dotted and everything below the lines is shaded.

From the below graph it is clear that all values are satisfied.

Learn more about inequality on:

brainly.com/question/24372553

#SPJ1

5 0
2 years ago
Help me out some one
Olegator [25]
Y = mx + b is the slope-intercept form of the equation of a line,
where m = slope, and b = y-intercept.

In problems 1 and 3, your equations are written in the y= mx + b form, so you can read the slope and y-intercept directly.

1.
m = -5/2
b = -5

3.
m = -1
b = 3

5.
For problem 5, you need to solve for y to put the equation
in y = mx + b form. Then you can read m and b just like we did
for problems 1 and 3.

4x + 16y = 8

16y = -4x + 8

y = -4/16 x - 8/16

y = -1/4 x - 1/2

m = -1/4

b = -1/2
7 0
4 years ago
I need help to find this answer this is not making any sense to me please help.
Ostrovityanka [42]
The answer is B. Hope it helps
8 0
4 years ago
Read 2 more answers
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