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wel
3 years ago
9

What is the equation of the line -3x-2y=30 in slope intercept form?

Mathematics
2 answers:
V125BC [204]3 years ago
7 0
-3x-2y=30
+3x +3x
-2y=3x+30
/-2 /-2 /-2

y=-3/2x-15 is the answer
Igoryamba3 years ago
6 0
You have to change it to the form y = mx + c

-3x - 3y = 30

add -3x to both sides
-3y = - 3x + 30
now divide through by -3:-

y = x - 10  answer
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Answer:

Step-by-step explanation:

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s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) =  \frac{10}{s+2}\\Y =  \frac{10}{(s+2)(s+4)(s+8)}

We can resolve into partial fraction to get Y = L(y)

Let this equals

\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\

Solving we get

s=-9

24C = 10 or C =5/12

s=-2:  A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}

6 0
3 years ago
Which representation of a transformation on a coordinate grid does not preserve congruence?
Alex17521 [72]

Answer:

B

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B. Transformation with the rule

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Dilation does not preserve the congruence as you get smaller figure.

C. Transformation with the rule

(x,y)\rightarrow (x+6,y-4)

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Translation 6 units to the right and 4 units down preserves the congruence.

D. Transformation with the rule

(x,y)\rightarrow (y,-x)

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Clockwise rotation by 90^{\circ} angle over the origin preserves the congruence.

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5 0
4 years ago
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CAN SOMEBODY PLZZ HELP IM STUDYING FOR A MATH TEST PLLZZZ HELP!!! Thank You!
KatRina [158]

Answer:

46

Step-by-step explanation:

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