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AleksandrR [38]
3 years ago
11

Determine and state an equation of the line perpendicular to the line 8x + 6y = 15 and passing through the point (3,-4)

Mathematics
1 answer:
LekaFEV [45]3 years ago
4 0

Answer:

4y - 3x = -25

Step-by-step explanation:

The equation of a line in point-slope form is expressed as

y - y0 = m(x - x0)

(x0, y0) is the point

m is the slope

Given

(x0, y0) = (3, -4)

Also given the equation;

8x + 6y = 15

Rewrite in standard form;

6y = -8x+15

y = -8/6 x + 15/6

y = -4/3 x + 5/2

Slope m = -4/3

Since the required line is perpendicular to the given line =,

Slope = -1/(-4/3) = 3/4

Substitute into the formula;

y - (-4) = 3/4(x-3)

y + 4 = 3/4(x-3)

4(y+4) = 3(x-3)

4y + 16 = 3x - 9

4y - 3x = -9-16

4y - 3x = -25

This gives the required equation

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The multiplier for a:

                             25% increase = 1.25

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                             40% increase  = 1.4

Now to work out the overall percentage change, we just times all of the multipliers together, and convert it back to a percentage:

1.25 x 0.6 x 1.4 = 1.05    

So the overall multiplier is 1.05

And a multiplier of 1.05 = a <u>5% increase</u>.

That means that the percentage change is + 5%

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Answer:

The percentage change in shares from the start of 2013 to the end of 2015 is:

+ 5%

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Note: if you haven't been taught multipliers - then ask and I'll try my best to explain!

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3 years ago
The table shows the number of cups of water required when cooking different amounts of rice. Amount of Rice (cups) Amount of Wat
Ugo [173]
<span>Amount of Rice (cups) Amount of Water (cups)
2                                     5
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5                                   12.5
8                                   20

Let's find the ratio of rice and water:

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20 / 8 = 2.5 => 8 * 2.5 = 20

So, as the ratio of water ot rice is constant, and the first variable is the amount of rice, you can calculate the amount of water given the amount of rice.

So, the amount of rice is independent value and the amount of water is dependent (it depends on the amount of rice).

The amount of rice is the dependent value. FALSE
The amount of water is the dependent value.TRUE
The amount of rice is the independent value. TRUE
The amount of water is the independent value.</span>FALSE
7 0
4 years ago
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abruzzese [7]

Answer: 19.63

Step-by-step explanation:

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PLEASE HELP I WILL GIVE BRAINLIST PLEASE
ivolga24 [154]

Answer: D: 4.5

Step-by-step explanation:

So the Equation I used for this would be

6(2x+3) = 3(6x-3)

In Which the left is the Hexagon (The 6 is for the 6 Sides) and the right of the equation is the triangle (given the 3 for the 3 sides. In order to solve, we need to solve for x. Distribute the equation and your left with

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Hope it helped.

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