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aev [14]
3 years ago
15

Determine if the given equations are parallel, perpendicular, or neither 4y=3x-4 and 4x+3y=-6

Mathematics
1 answer:
Kazeer [188]3 years ago
8 0

Answer:

Perpindicular

Step-by-step explanation:

Solve each equation for y, or point Slope form.

y = mx + b

4y = 3x - 4 divide both sides by 4 to isolate the y.

y = 3/4x - 1

The second equation.

4x + 3y = - 6 subtract 4x from both sides

3y = -4x - 6 divide both sides by 3

y = -4/3 - 2

If you visualize line 1 having a Slope of 3/4, that is, for every 4 we move in the positive x direction, y will increase by 3, it slopes up from left to right crossing the y axis at (0,-1). The second line moves 3 in the positive x direction and decreases in y by 4, it slopes down from left to right crossing the y axis at (0,-2}.

Because the two lines have negative inverse slopes they are perpendicular. 3/4x and - 4/3x

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Two of them are drawn simultaneously from a deck of 48 cards.
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The required probability is
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b) At least one cup is 0.19

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Probability can be defined as the ratio of favorable outcomes to the total number of events.

a) for both are cups

P= 12*11/48*47
p = 0.05

b) for  At least one cup
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c) for One is a cup and the other is a sword
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Thus, the required probability is 0.05, 0.19, 0.06

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6 0
2 years ago
What is an equation of the line that is parallel to y=3x-8 and passes through the point, (4,-5)
VladimirAG [237]

Answer:

y= 3x-17

Step-by-step explanation:

When finding a parallel equation to y=mx+b, mx will always stay the same. So we have to find b.

In order to do this you plug the parallel lines passing point into the equation.

-5(y) goes into the y's spot. 4(x) goes into the x's spot.

-5 = 3 x 4 + b

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