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Vsevolod [243]
3 years ago
11

which equation represents a line parallel to the line whose equation is -2x+3y=-4 and passes through the point 1,3

Mathematics
1 answer:
Sedbober [7]3 years ago
7 0

Answer:

-2x+3y=7

or

2x-3y= -11

Step-by-step explanation:

-2x+3y= -4, which is Ax+By=C

A=-2 B=3 C=-4

m(slope)= -A/B

m= -(-2)/3

m= 2/3

y-y1= m (x-x1)

y-3= 2/3 (x-1)

Multiply by 3 cancels out the fraction

3y-9= 2 (x-1)

Distributive property

3y-9= 2x-2

-2x+3y-9= -2

From here it could go 2 ways:

1. -2x+3y= 7

or

2. 2x-3y+9= -2

so

2x-3y= -11

Hope this helps

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Answer:

The scale factor for the dilation of rectangle ABCD to rectangle MNOP is  \frac{3}{4} ⇒ B

Step-by-step explanation:

In similar rectangles, their corresponding dimensions are proportional, which means \frac{L_{1} }{L_{2}} = \frac{W_{1} }{W_{2}} , where L is the length and W is the width

∵ Rectangle ABCD is similar to rectangle MNOP

∴ Their dimensions are proportional

∵ The dimensions of rectangle ABCD are 6 m, 14 m

∴ L_{1} = 14 and W_{1} = 6

∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m

∴ L_{2} = 10.5 and W_{2} = 4.5

∵ The rectangle MNOP is the image of rectangle ABCD after dilation

→ To find the scale factor of dilation find the ratio between the

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∵ \frac{L_{2} }{L_{1}} = \frac{10.5}{14} = \frac{3}{4}

∵ \frac{W_{2} }{W_{1}} = \frac{4.5}{6} = \frac{3}{4}

∴ The scale factor for the dilation is  \frac{3}{4}

The scale factor for the dilation of rectangle ABCD to rectangle MNOP is  \frac{3}{4}

6 0
3 years ago
William purchased 76.9 feet of fencing for his back yard. He realized after measuring, that he still needed an additional 25.7 f
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3 years ago
BEST ANSWER GETS TO BE BRAINLYEST!!!!!
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Hey there!

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3 years ago
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When dropped, a super ball will bounce back to 80% of its peak height,continuing on in this way for each bounce.
Liono4ka [1.6K]

An expression for the height of the nth bounce is 0.80X^N = Height.

<h3><u>Equations</u></h3>

Since when dropped, a super ball will bounce back to 80% of its peak height, continuing on in this way for each bounce, to determine an expression for the height of the nth bounce the following calculation must be performed:

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Therefore, an expression for the height of the nth bounce is 0.80X^N = Height.

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3 years ago
Please explain step by step worth 20 points
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