Answer:
80 m^2
Step-by-step explanation:
The given information lets you write two equations involving length (x) and width (y).
- 2(x +y) = 36 . . . . the perimeter is 36 m
- (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area
The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.
xy +y +2x + 2 -xy = 30
2x +y = 28 . . . . . . . subtract 2
Dividing the first equation by 2 gives
x +y = 18
and subtracting this from the above equation gives ...
(2x +y) -(x +y) = 28 -18
x = 10
Then
y = 18 -10 = 8
The area of the original rectangle is xy = 10·8 = 80 m^2.
Answer:
Step-by-step explanation:
Slope-intercept from is:
m is the slope and b is the y-intercept. Insert slope:
The y-intercept is at point (0,4). The y-intercept is when x equals 0, so take the value of y and insert into the equation:
Finito.
Answer:
Pie chart
Step-by-step explanation:
Given that a professor has kept records on grades that students have earned in his class
He wants to examine the percentage of students earning the grades A, B, C, D, and F during the most recent term,
We have to find which kind of plot could he make
Box plot gives comparison for interval of scores this is to some extent helpful to find out the percentage of students getting a range of scores
Timeplot is irrelevant here. Dot plot will not be of much use.
Histogram is to some extent useful as box plot
But the best one is pie chart giving easy visual comparison for various grades A, B,C,D,E and F
Answer:
B
Explanation:
The y intercept can be read directly off of the graph, and is where the line intersects the y of the graph.
The slope (gradient) can be determined by using the equation y=mx+c, where we can substitute in the y intercept and an x and y value on the line.
y=mx+4
(2;0) is a point on the line, it is the coordinates of the x intercept (y intercept will work as well)
0=m(2)+4
m=-2
