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2 years ago

Write an equation that is perpendicular to y=3/5x-1 and passes through the point (9,14)

Mathematics

1 answer:

Leokris [45]2 years ago

8 0

Answer:

y=(-5/3)x+29

Step-by-step explanation:

we will use the base formula y=mx+b

In order to be perpendicular, the slope must be the flipped fraction and have the opposite sign, so our m is (-5/3)

y=(-5/3)x+b

You can plug in the (9,14) point in order to find the b

14=(-5/3)(9)+b

14=(-45/3)+b

14=(-15)+b

14+15=b

29=b

and so altogether our equation is y=(-5/3)x+29

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mr_godi [17]

The effect of Claudia's changing the height of of the triangle from 1 inch

to 3 inches is the option;

The height of the triangle changed to three inches but the width remained 1 inch

<h3>Which option gives the effect of changing the height?</h3>

The given dimensions of the equilateral triangle Claudia added are;

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Required:

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Solution:

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The height of the triangle changed to three inches but the width remained 1 inch

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1 year ago

A 6 ounce package of fruit snacks contains 45 pieces how many pieceswould would you expect in a10 ounce package

pochemuha

Answer:

75 pieces

Step-by-step explanation:

1. determine how many pieces per ounce by dividing 45 by 6 (# of pieces in a 6 oz bag)

45/6= 7.5 pieces per ounce

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2 years ago

Stephen & Richard share a lottery win of £2950 in the ratio 2 : 3. Stephen then shares his part between himself, his wife &a

horsena [70]

Answer:

Stephen's wife got £354 more than his son.

Step-by-step explanation:

Given:

Amount of Lottery = £2950

Now Given:

Stephen & Richard share a lottery amount in the ratio 2 : 3

Let the common factor between them be 'x'.

So we can say that;

$2x+3x=2950\\\\5x = 2950$

Dividing both side by 5 we get;

$\frac{5x}{5}=\frac{2950}{5}\\\\x = 590$

So we can say that;

Stephen share would be = $2x =2\times 590 = \£1180$

Now Given:

Stephen then shares his part between himself, his wife & their son in the ratio 3 : 5 : 2.

Let the common factor between them be 'y'.

So we can say that;

$3y+5y+2y=1180\\\\10y=1180$

Dividing both side by 10 we get;

$\frac{10y}{10}=\frac{1180}{10}\\\\y=118$

So Stephen's wife share = $5y = 5\times 118= \£590$

And Stephen's son share = $2y=2\times118 =\£236$

Now we need to find how much more her wife got then her son.

To find how much more her wife got than her son we will subtract Stephen's son share from Stephen's wife share.

framing in equation form we get;

Amount more her wife got than her son = $590-236 = \£354$

Hence Stephen's wife got £354 more than his son.

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2 years ago

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Alborosie

answer:

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step-by-step explanation:

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2 years ago