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Snowcat [4.5K]
3 years ago
6

a line has a slope of 2 and passes through the point of 3,9. wat is the equation of the line in slope intercept form

Mathematics
1 answer:
DiKsa [7]3 years ago
7 0
The equation for that line would be y=2x+3
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Find the midpoint M of the line segment joining the points C = (-1, 1) and D = (5, – 7).<br> =<br> =
lukranit [14]

Answer: (2,-3)

Step-by-step explanation:

5 0
2 years ago
Find an explicit solution of the given initial-value problem. (1 + x4) dy + x(1 + 4y2) dx = 0, y(1) = 0
MissTica

Answer:

a solution is 1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4

Step-by-step explanation:

for the equation

(1 + x⁴) dy + x*(1 + 4y²) dx = 0

(1 + x⁴) dy  = - x*(1 + 4y²) dx

[1/(1 + 4y²)] dy = [-x/(1 + x⁴)] dx

∫[1/(1 + 4y²)] dy = ∫[-x/(1 + x⁴)] dx

now to solve each integral

I₁= ∫[1/(1 + 4y²)] dy = 1/2 *tan⁻¹ (2*y) + C₁

I₂=  ∫[-x/(1 + x⁴)] dx

for u= x² → du=x*dx

I₂=  ∫[-x/(1 + x⁴)] dx = -∫[1/(1 + u² )] du = - tan⁻¹ (u) +C₂ =  - tan⁻¹ (x²) +C₂

then

1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) +C

for y(x=1) = 0

1/2 *tan⁻¹ (2*0) = - tan⁻¹ (1²) +C

since tan⁻¹ (1²) for π/4+ π*N and tan⁻¹ (0) for  π*N , we will choose for simplicity N=0 . hen an explicit solution would be

1/2 * 0 = - π/4 + C

C= π/4

therefore

1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4

5 0
3 years ago
What's the answer and plz answer honestly??
kolezko [41]
5,000,000,000

300,000
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A bag contains 6 red and 10 black marbles. If you pick a marble from the bag, what is the probability that the marble will not b
Anton [14]

Answer:

you add 6 and ten to get 16. Since there are only 6 red, you do 6/16 = 0.375

So the answer is 37.5%

Step-by-step explanation:

3 0
3 years ago
Explain the difference between function and relation and the relationship between the domain and the range of a function.
Kazeer [188]

Given two sets X and Y, a relation between X and Y freely associates elements of X with elements of Y, with no restrictions.

A function is a relation with some restrictions: there must be exactly one element of Y connected with each element of X.

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The set Y is called the range of the function, and it represents all the possible outputs that the function can return.

7 0
3 years ago
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