Answer:
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Step-by-step explanation:
we know that
The area of the rectangle (movie screen) is equal to

where
L is the length
W is the width
we have

so
----> equation A
The screen is 20 feet longer than it is wide.
so
---> equation B
substitute equation B in equation A

solve for W

solve the quadratic equation by graphing
the solution is W=82 ft
see the attached figure
Find the value of L

therefore
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Both sides would be the same, so set them to equal ans solve for x.
3x+4 = 2x +7
Subtract 4 from each side:
3x = 2x +3
Subtract 2x from each side:
x = 3
The answer is X = 3.
The blue line...
(1,2),(3,1)
slope = (1 - 2) / (3 - 1) = -1/2
there is a y int at (0,2.5) or (0,5/2)
it is shaded below the line....and it is a solid line
this inequality is :
y = -1/2x + 5/2
1/2x + y = 5/2
x + 2y = 5
x + 2y < = 5.....this is ur inequality
red line...
(0,4), (1,1)
slope = (1 - 4) / (1 - 0) = -3/1 = -3
there is a y int at (0,4)
it is shaded below the line...and it is a solid line
this inequality is :
y = -3x + 4
3x + y = 4
3x + y < = 4 ...this is ur inequality
summary :
ur 2 inequalities are :
x + 2y < = 5 and 3x + y < = 4
Answer:
The new area is 1800feet^2
Step-by-step explanation:
Step one:
Given data
The length and width or a rectangular courtyard is 40 feet and 30 feet
we can calculate the area of the courtyard as
Area= 40*30
Area= 1200 feet^2
when the extra 15 feet is added to the width
the new width is= 30+15= 45feet
The new area is
Area= 40*45
Area= 1800 feet^2
in all the area will increase by 1800-1200= 600feet