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Reptile [31]
3 years ago
5

The endpoints of a side of rectangle ABCD in the coordinate plane are at A(3, 5) and B(5, 1). Find the equation of the line that

contains the given segment. The line segment is CD and point C is at (7, 2
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0

Answer:

2x + y = 16

Step-by-step explanation:

In rectangle side AB and side CD are parallel, so the slope of both the lines will be same it means that they are parallel to each other.

slope of line AB:

\textrm{m}=\frac{\textrm{y}_{A}-\textrm{y}_{B}}{\textrm{x}_{A}-\textrm{x}_{B}}\\\textrm{m}=\frac{5-1}{3-5}=\frac{4}{-2}=-2\\\therefore \textrm{m}=-2

slope of line CD = slope of line AB = -2

∴ equation of line CD:

\textrm{y}-\textrm{y}_{C}=\textrm{m}(\textrm{x}-\textrm{x}_{C})\\ \textrm{y}-2=-2(\textrm{x}-7)\\2\textrm{x}+\textrm{y}=16

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Find the exponential equation for the given information. Pls help
nikitadnepr [17]

Answer:

y = 12 (2.9)^{x}

Step-by-step explanation:

The standard form of the exponential function is

y = a (b)^{x}

Find a and b by substituting ordered pairs from the table into the equation

Using (0, 12 ), then

12 = ab^{0} ( b^{0} = 1 ), so

a = 12, then

y = 12 b^{x}

Using (1, 34.8 ) , then

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b = 2.9

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y = 12 (2.9)^{x}

3 0
3 years ago
The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid
MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = x

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = 12+x

As we know:

Area\ of\ rectangle=length\times breadth

85=(12+x)x\\\\85=12x+x^{2} \\

Subtracting both sides by 85

x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5

As width can never be in negative, hence  width of a rectangular wall of a barn = x = 5 feet

Length of a rectangular wall of a barn = 12+x=12+5=17\ feet

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

                 

4 0
3 years ago
How might you solve a problem that has both a fraction and a decimal in it
Anni [7]
Well, one way is to convert one of the numbers to the other. For example, if I have 3/5 and 0.5, I could convert 3/5 to a decimal. So, I would have 0.6 (3/5 converted to a decimal), and 0.5. Next, I would just add the two together to get my answer of 1.1
5 0
3 years ago
Please solve this...I can;t do it do it
yanalaym [24]

Answer:

Area = 867 meters

Step-by-step explanation:

You have a rectangle. This means opposite sides are equal. If you set these expressions equal to each other, you will get two equations with two unknowns, x and y. Next, solve the system of equations to find x and y. Then, use the values to find the length and width of the rectangle. Last, multiply length × width to find the area.

8 0
2 years ago
Round the number to the place indicated.<br> Round to the nearest tenth: 1.4511
Evgen [1.6K]
1.500 since 45 rounds to 50
8 0
3 years ago
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