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zvonat [6]
3 years ago
8

When asked to write a point slope equation for a line passing through the points (-4,-7) and (3,2) a student wrote y-2=-9/7(x-3)

. How can he fix this to write the correct equation
Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0
First let's find the slope
Slope formula: 
\frac{y_2-y_1}{x_2-x_1} =slope
Given the two coordinates: 
(-4,-7) (3,2) 
 x1,y1  x2,y2

Plug these numbers into the formula
\frac{2-(-7)}{3-(-4)} = \frac{9}{7}
In this case the mistake that was made was that the student wrote the slope negative instead of positive
Final answer: 
<span>y-2=9/7(x-3)</span>
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Harrizon [31]

Answer:

a) y₁(t) = (2.5e⁰•⁸ᵗ - 2.5e⁰•⁴ᵗ)

b) y₂(t) = (2e⁰•⁴ᵗ - e⁰•⁸ᵗ)

c) W(y₁,y₂) = -e¹•²ᵗ

Step-by-step explanation:

To solve, 25y" - 30y' + 8y = 0

With conditions, y₁'(0) = 1 and y₁(0) = 0 for y₁

And y₂'(0) = 0 and y₂(0) = 1 for y₂

Solving for y₁ first, using Laplace transforms.

Note:

L(y") = s² Y(s) - sy(0) - y'(0)

L(y') = s Y(s) - y(0)

L(y₁") = s² Y(s) - sy₁(0) - y'₁(0) = s² Y(s) - 0 - 1 = s² Y(s) - 1

L(y₁') = s Y(s) - y₁(0) = s Y(s)

L [25y" - 30y' + 8y] = L (0)

25(s²Y(s) - 1) - 30(sY(s)) + 8Y(s) = 0

25s²Y(s) - 25 - 30sY(s) + 8Y(s) = 0

Y(s) [25s² - 30s + 8] - 25 = 0

Y(s) [25s² - 30s + 8] = 25

Y(s) = (25)/[25s² - 30s + 8]

Y(s) = (25)/[(5s-4)(5s-2)]

To continue, we need to resolve 1/[(5s-4)(5s-2)] into partial fractions.

The calculation is continued on the attached images.

8 0
3 years ago
Which is a factor of: 2x^2+2x-24?<br> Answer choices:<br> A.x+5<br> B.x-4<br> C.x-3<br> D.x-2
Ira Lisetskai [31]
The Factor Of Your Equation Is C.
7 0
3 years ago
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The house was bought for $ 500 and sold for $ 700 what percentage profit did they gain?
jonny [76]

Answer: 40%

Step-by-step explanation:

700 - 500 = 200

200 / 500 = 40%

6 0
4 years ago
Help me pleaseeee this is due at 8 am
Yuliya22 [10]

Answer:

Area = B x H + L (sum of sides of triangle)

        = 9 x 12 + 10 (12 + 15 + 9)

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Lateral Surface area = ( a + b + c) x H , where a, b , c are sides of the triangle.

Lateral Surface Area = (12 + 15 + 9) x 10

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8 0
3 years ago
20 = -d + 6
Sphinxa [80]

ok so rearrange things so that it says 6-d=20, then subtract six from each side to get -d=20-6, then subtract 6 from 20 to get -d=-14, then multiply both sides by -1 to get rid of the negative sign in front of the d since a variable cannot be a negative thus making your answer -14 or letter D. :) ❤❤❤❤

hope this helps

3 0
3 years ago
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