Graph the equations to solve the system. y= 2x+5 an 1/2y = x+5/2
1 answer:
Answer:
Infinitely many solutions
Step-by-step explanation:
Given:
y= 2x+5
1/2y = x+5/2
Multiplying 2 with both sides will give:
2( 1/2y) = 2(x+5/2 )
y= 2x+5
As both the equations are similar with same slope m=2 and y-intercept= 5
thus the system of equation will have infinite solution. Graph will show single line.
Graph is attached!
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Let x = negative real number ⇒x<0
from the statement above, we can generate an equation:
(x + 5)² = 48
= 
⇒ eliminate the square by getting the square root on both sides
⇒ the perfect square of a real number has one positive real number and a negative real number
transposing 5 to other side, we will arrive at two (2) values for x:
= -5 - 4√3 = -11.928
= -5 + 4√3 = 1.928
Since we are only looking at the negative real number, our answer will be -11.928, also equal to -5 - 4√3.
from the statement above, we can generate an equation:
(x + 5)² = 48
⇒ eliminate the square by getting the square root on both sides
⇒ the perfect square of a real number has one positive real number and a negative real number
transposing 5 to other side, we will arrive at two (2) values for x:
Since we are only looking at the negative real number, our answer will be -11.928, also equal to -5 - 4√3.
Area of the composite figure = 390 ft²
Solution:
The composite figure is splitted into two rectangles.
The image is attached below.
Length of vertical rectangle = 20 ft
Width of vertical rectangle = 7 ft
Area of vertical rectangle = length × width
= 20 × 7
Area of vertical rectangle = 140 ft²
Length of top rectangle = 25 ft
Width of top rectangle = 30 - 20 = 10 ft
Area of top rectangle = length × width
= 25 × 10
Area of top rectangle = 250 ft²
Area of the composite figure = 140 ft² + 250 ft²
Area of the composite figure = 390 ft²
