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Black_prince [1.1K]
3 years ago
14

Find the slope of the line passing through (-2,5) and (9,-7)?

Mathematics
1 answer:
Marat540 [252]3 years ago
8 0
Use the slope formula.
Y2 - Y1 / X2 - X1
(-7 - 5) / (9 - -2)
(-12) / (11)
So answer: slope(m) = -12/11
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1. Classify the following polynomials as monomial, binomial trinomial and polynomial: <br> i) 2x + y
chubhunter [2.5K]

Answer:

binomial

Step-by-step explanation:

a monomial has 1 term

a binomial has 2 terms

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6 0
2 years ago
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(b) dy/dx = (x - y+ 1)^2
Elanso [62]

Substitute v(x)=x-y(x)+1, so that

\dfrac{\mathrm dv}{\mathrm dx}=1-\dfrac{\mathrm dy}{\mathrm dx}

Then the resulting ODE in v(x) is separable, with

1-\dfrac{\mathrm dv}{\mathrm dx}=v^2\implies\dfrac{\mathrm dv}{1-v^2}=\mathrm dx

On the left, we can split into partial fractions:

\dfrac12\left(\dfrac1{1-v}+\dfrac1{1+v}\right)\mathrm dv=\mathrm dx

Integrating both sides gives

\dfrac{\ln|1-v|+\ln|1+v|}2=x+C

\dfrac12\ln|1-v^2|=x+C

1-v^2=e^{2x+C}

v=\pm\sqrt{1-Ce^{2x}}

Now solve for y(x):

x-y+1=\pm\sqrt{1-Ce^{2x}}

\boxed{y=x+1\pm\sqrt{1-Ce^{2x}}}

3 0
3 years ago
Find the value of x.<br> When a leg is 6<br> units and the<br> hypotenuse is 12<br> units.
DIA [1.3K]

Answer:

6√3

Step-by-step explanation:

6^2+x^2=12^2

36+x^2=144

-36          -36

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x=6√3

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Shtirlitz [24]

Step-by-step explanation:

5n-2

5(4) - 2

20-2=18

A= 18

5n - 2 =48

5n=48+2

5n=50

divide by 5

n= 10

B=10

7 0
3 years ago
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