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spin [16.1K]
3 years ago
6

A line that includes the points (8,1) and (k,9) has a slope of 8. What is the value of k?

Mathematics
1 answer:
kogti [31]3 years ago
8 0

Answer:

Step-by-step explanation:

I don’t know

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3. Which rule best describes the last three numbers shown in the pattern? 10, 12, 9, 11​
sergij07 [2.7K]

Answer:

it goes by 2 two times then subtracts 3 then again

Step-by-step explanation:

10,12,9,11,8,10,7

5 0
3 years ago
Simplify each expression using the order of operations. Then, match the expression (term) on the left with its solution (definit
Ratling [72]

Step-by-step explanation:

A 55ttty65t78with city council spokeswoman said that in August

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3 years ago
What’s the answer???<br> ( ONLY ANSWER IF YOU KNOW)
Elena-2011 [213]
The exponents of expression one are the same as the exponents of expression two
4 0
3 years ago
Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx
shutvik [7]

\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)

Let v=x+y, so that \dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}:

\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1

Now the ODE is separable, and we have

\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx

Integrating both sides gives

\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx

For the integral on the left, rewrite the integrand as

\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v

Then

\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C

and so

\csc v-\cot v=x+C

\csc(x+y)-\cot(x+y)=x+C

Given that y(0)=\dfrac\pi2, we find

\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1

so that the particular solution to this IVP is

\csc(x+y)-\cot(x+y)=x+1

5 0
3 years ago
Which of the following lines is perpendicular to the line Y = 3x -4
andriy [413]

Answer:

D.

Step-by-step explanation:

When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be \frac{1}{3} , and \frac{5}{1} would be -5. The equation is written in slope-intercept form:

y=mx+b

m is the slope, so find the equation with the opposite reciprocal of 3, -\frac{1}{3}:

y=-\frac{1}{3} x+4 is the only option with the correct slope, so the answer is D.

6 0
3 years ago
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