Answer:
Length = 20 feet; x = 14
Step-by-step explanation:
Parameter = width + length + width + length
64 feet = 12 feet × 2 + (x + 6) feet × 2
64 = 24 + (x + 6) × 2
64 - 24 = (x + 6) × 2
40 = (x + 6) × 2
40 ÷ 2 = x + 6
20 = x + 6
20 = length
20 - 6 = x
14 = x
First calculate the function of x-2y=6:
x-2y=6 | - x
-2y=6-x | ÷ (-2)
y=0.5x-3
Now you have the function. Because the slope you search is parallel to this one, the slope is the same (in this case 0.5). A slope of 0.5 means for 2 steps to the right go one up. To define the function you are searching you have to find out the y intercept. For this take your point (-2|4). Now go as many steps to the right until you reach the y intercept or x=0 in this case you need 2 steps. So for 2 steps right you go one up. Now you have the y intercept (5).
The resulting function is: f(x) = 0.5+6.
Answer:
Step-by-step explanation:
2y + 4 = 0 <em>subtract 4 from both sides</em>
2y = -4 <em>divide both sides by 2</em>
y = -2
The slope-intercept form of an equation of a line:
y = mx + b
m<em> - slope</em>
b<em> - y-intercept → (0, </em><em>b</em><em>)</em>
In the equation
y = -2
<em>slope: </em><em>m = 0</em>
<em>y-intercept: </em><em>b = -2 → (0, -2)</em>
<em />
<em>y = -2 - it's a horizontal line</em>
Step-by-step explanation:
Let's call L the length and W the width. The length is 10 feet longer than the width, so:
L = W + 10
The area is the length times width, so:
119 = LW
Substituting:
119 = (W + 10) W
119 = W² + 10W
0 = W² + 10W − 119
0 = (W + 17) (W − 7)
W = -17 or 7
Since W must be positive, W = 7.
L = W + 10
L = 17
The length and width are 17 feet and 7 feet, respectively.
Answer:
Inter-quartile range
Step-by-step explanation:
When you have the quartile, you can use the IQR (interquartile range) to measure the dispersion.
IQR = Q3 - Q1
Movies: IQR = 195 - 162 = 33
Basketball: IQR = 225 - 170 = 55
Attendance at Basketball is more dispersed/spread out as compared to attendance at Movies
