Match each justification to its corresponding step in the following solution. (Table shown above)
1 answer:
You might be interested in
Remark
This is costing you an awful lot of points, but it is a little hard to read. If I'm not interpreting it correctly, leave some sort of note below my answer.
Question One
In the first question you want a line that is parallel to x = 4 and goes through the point (-7,3). If I'm reading this correctly then the line you want is x = -7. You only need the x value of the given point. I'll put a graph there to show you what it looks like on a grid. The graph is the left one for this question.
Question Two
Here I think you want the line going through (5,-1) and perpendicular to y = 4x - 7. I will make a graph for that one as well.
Begin with the slope
Two lines are perpendicular to each other if their slopes multiply to - 1
Given slope (m1) = 4
perpendicular slope = m2
Formula
m1 * m2 = - 1
4 * m2 = -1 Divide by 4
m2 = -1/4
So far what you have is
y = (-1/4)x + b
Now use the given point to solve for b
x = 5
y = - 1
b = ??
-1 = (-1/4)*5 + b
-1 = -5/4 + b Add 5/4 to both sides
-1 + 5/4 + b Make -1 into -4/4
b = -4/4 + 5/4
b = (-4 + 5)/4
b = 1/4
So the line that you want is
y = (-1/4) x + 1/4
Answers
One: x = - 7
Two: y = (-1/4)x + 1/4
Note
The right graph is of y = 4x - 7 and y = (-1/4)x + 1/4
This is costing you an awful lot of points, but it is a little hard to read. If I'm not interpreting it correctly, leave some sort of note below my answer.
Question One
In the first question you want a line that is parallel to x = 4 and goes through the point (-7,3). If I'm reading this correctly then the line you want is x = -7. You only need the x value of the given point. I'll put a graph there to show you what it looks like on a grid. The graph is the left one for this question.
Question Two
Here I think you want the line going through (5,-1) and perpendicular to y = 4x - 7. I will make a graph for that one as well.
Begin with the slope
Two lines are perpendicular to each other if their slopes multiply to - 1
Given slope (m1) = 4
perpendicular slope = m2
Formula
m1 * m2 = - 1
4 * m2 = -1 Divide by 4
m2 = -1/4
So far what you have is
y = (-1/4)x + b
Now use the given point to solve for b
x = 5
y = - 1
b = ??
-1 = (-1/4)*5 + b
-1 = -5/4 + b Add 5/4 to both sides
-1 + 5/4 + b Make -1 into -4/4
b = -4/4 + 5/4
b = (-4 + 5)/4
b = 1/4
So the line that you want is
y = (-1/4) x + 1/4
Answers
One: x = - 7
Two: y = (-1/4)x + 1/4
Note
The right graph is of y = 4x - 7 and y = (-1/4)x + 1/4
Correct answer is C.
Line
intersects y-axis at -2 and passes through the point (3,-1).
Line must be dashed, because the inequality sign is ">".
Point (0,0) must lie in the solution set because it satisfies inequality
.
Line
Line must be dashed, because the inequality sign is ">".
Point (0,0) must lie in the solution set because it satisfies inequality
The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.
<h3>What is the area of trapezoid?</h3>The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.
Here, (a and b) are the base sides of the trapezoid and (h) is the height.
A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,
Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,
C=812×$8.30
C=$6739.6
Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,
Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.
Learn more about the area of trapezoid here;
#SPJ1