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saveliy_v [14]
3 years ago
7

Gabriella wants to tile a room with an area of 320 ft.². The width of the room is 4/5 of its length. What are the length and wid

th of the room?
Mathematics
1 answer:
allochka39001 [22]3 years ago
8 0
Length - a
Width - b
Area = a * b 
320 = a & b 
b = 4/5a
320 = a^2 /5
400 = a^2
a = \sqrt{400}
a = 20
b = 16
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Point R is the midpoint of line QS. R is located at (5, -7.5) S is located at (-1,-13) What is the location of Point Q?
Lisa [10]

Answer: ( 11, -2 )

Step-by-step explanation:

The mid point of a line is calculated using the formula:

M = (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2} )

From the question , the mid point is already given , substituting , we have :

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Equating the x component to x and the y component to y , we have

5 = \frac{x-1}{2}

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Write the equation of a line perpendicular to 5x – 4y = - 3 that passes through the point (-5,2).
kolezko [41]

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Step-by-step explanation:

Two lines are said to be perpendicular if the product of their gradients = -1.

If the gradient of the first line is m_{1} and the gradient of the second line is m_{2} , if the lines are perpendicular, them

m_{1} x m_{2} = -1 , that is

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The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.

The equation in slope -intercept form is given as :

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Writing the equation in this form , we have

5x - 4y = + 3

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y = 5x/4 + 3/4

comparing with the equation y = mx + c , then m_{1} = 5/4

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Using the equation of line in slope - point form  to find the equation of the line;

y - y_{1} = m ( x -  y_{1} )

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5(y - 2 ) = -4 ( x + 5 )

5y - 10 = -4x - 20

5y + 4x = - 10

4 0
3 years ago
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