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Vanyuwa [196]
2 years ago
7

What is the equation of the line that passes through the point (3, 4) and has a slope of -2/3

Mathematics
1 answer:
Rina8888 [55]2 years ago
6 0

Answer:

y=-2/3x+6

Step-by-step explanation:

y-y1=m(x-x1)

y-4=-2/3(x-3)

y=-2/3x+6/3+4

y=-2/3x+2+4

y=-2/3x+6

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The ratio of the width to the length of a rectangle is 2:3, respectively. Answer each of the following. a By what percent would
Elina [12.6K]

Answer:

The percentage increase in Area of rectangle is 200%

Step-by-step explanation:

Given as :

The  ratio of the width to the length of a rectangle is 2:3

Let The length of rectangle = 2 x

Let The width of rectangle = 3 x

∵ Area of rectangle = length × width

So, A_1 = 2 x × 3 x

Or,  A_1  =  6 x²

<u>Again</u>

The increased length of rectangle = 2 x + 2 x = 4 x

The increase width of rectangle = 3 x + 50% of 3 x

I.e The increase width of rectangle = 3 x + 1.5 x = 4.5 x

∵ Increased Area of rectangle = increased length × increased width

Or,   A_2  = 4 x × 4.5 x  = 18 x²

So, The percentage increase in area = \dfrac{A_2 - A_1}{A_1} × 100

Or, The percentage increase in area = \frac{18 x^{2}-6x^{2}}{6x^{2}} × 100

Or , The percentage increase in area = \dfrac{12}{6} × 100

∴ The percentage increase in area  = 200

Hence, The percentage increase in Area of rectangle is 200% Answer

5 0
3 years ago
Fritz benjamin buys a car costing $12300. He agrees to make payment at the end of each month period for 8 years. He pays 7.2% in
loris [4]
12300=X[((1-(1+(0.072/12)^(-12*8))/(0.072/12)]
Solve for x
X=168.92
4 0
3 years ago
liam is setting up folding chairs for a meeting. if he arranges the chairs in 9 rows of the same length, he has 3 chairs left ov
svlad2 [7]
Hello, Here is a link to the answer. I am posting this link because it is a Brainly link and a verified answer brainly.com/question/219158
7 0
3 years ago
Part A:
Soloha48 [4]

Answer:

Option D

Step-by-step explanation:

A). From the graph attached,

    Arrow AB represents the RISE and arrow BC represents the RUN.

B). RUN from point A to B (Horizontal distance) = 2 units

    Rise from point A to B (Vertical distance) = -4 [Since, downwards arrow represents negative notation]

    Slope of the line segment AB = \frac{\text{Rise}}{\text{Run}}

                                                       = \frac{-4}{2}

                                                       = -2

   Therefore, slope of the line = slope of the line segment AB = -2

    Option D will be the correct option.

4 0
3 years ago
Allentown got 2 feet less than twice the amount of snow Georgetown got . Allentown got 3 feet more snow than Georgetown. How man
Mandarinka [93]


x=2y-2

x=y+3

Substitute the second equation into the first

y+3=2y-2

solve for y

y=5

plug into original

x=y+3=5+3=8 or x=2(5)-2=8

Allentown got 8 ft of snow, Georgetown got 5 ft of snow.

4 0
3 years ago
Read 2 more answers
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