A line is defined by the equation 2x + y = 4. Which shows the graph of this line?
2 answers:
We have that
<span>2x + y = 4
to graph this equation </span><span>we will look for the x and y intercepts
step 1
find the x intercepts
y=0
2x+0=4-----> x=4/2-----> x=2
the point is (2,0)
step 2
</span>find the y intercepts
x=0
0+y=4-----> y=4
the point is (0,4)
step 3
with the two points graph the line
see the attached figure
<span>
</span>
<span>2x + y = 4
to graph this equation </span><span>we will look for the x and y intercepts
step 1
find the x intercepts
y=0
2x+0=4-----> x=4/2-----> x=2
the point is (2,0)
step 2
</span>find the y intercepts
x=0
0+y=4-----> y=4
the point is (0,4)
step 3
with the two points graph the line
see the attached figure
<span>
</span>
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Answer:
The area of the floor of the shed is <u>1500 square feet.</u>
Step-by-step explanation:
Given:
The vertices of the floor of a shed are: (20,80), (50,60), (50,20) and (20,20)
Let us plot the given vertices on a graph.
From the graph, it is clear that the given figure is a trapezium with opposite parallel sides being parallel to the y axis. The height of the trapezium is the side that is parallel to x axis.
The area of the trapezium ABCD is given as:
From the graph, AB = 60 ft, CD = 40 ft, AD = 30 ft
Therefore, the area is given as:
Therefore, the area of the floor of the shed is 1500 square feet.
Answer: The side of the square will be 3 cm.
Step-by-step explanation:
When squares of equal size of side x, are cut from the four corners, we are left with the following dimensions for the cuboid box.
l= 30-2x
b = 14-2x
h= x
Hence, the volume of the cuboid will be ,
V = lbh
= (30-2x)(14-2x)x
Since this volume should be the largest possible, then differentiating volume with x should be equal to zero.
Therefore,
solving we get, x = 3, x =
We can omit x = because 14 - 2x < 0 , which is not possible.
Therefore, x=3.
