<span>46 square inches
If you look at the figure in the diagram, you'll see that it consist of two rectangles next to each other. So the area of the entire figure is the sum of the area of both rectangles. The leftmost rectangle is 5 inches by 6 inches for an area of 30 square inches. The right triangle is a skinny rectangle that is 8 inches by 2 inches for an area of 16 square inches. And 30 square inches plus 16 square inches equals 46 square inches.
An alternate way of considering the problem is that it's one large rectangle that's (5+8 = 13) inches long and 6 inches tall equaling 78 square inches, minus 2 other rectangles, both of which are 2 inches by 8 inches for an area of 16 square inches. And finally 78 square inches minus 16 square inches minus 16 square inches equals 46 square inches.</span>
Answer: y = 2x
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y = 2x - 8
Comparing with the slope intercept form, slope = 2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2
To determine the intercept, we would substitute m = 2, x = - 3 and
y = - 6 into y = mx + c. It becomes
- 6 = 2 × - 3 + c
- 6 = - 6 + c
c = - 6 + 6 = 0
The equation becomes
y = 2x
Find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55. If necessary, round to the nearest tenth.
Zigmanuir [339]
The mean is the average.
So, to find the mean you want o add up all of the numbers and then divide by the number of numbers.
49 + 49 + 54 + 55 + 52 + 49 + 575 = 363
363 / 7 = 51.85
Rounded to 52
For the median you want o line all of your number up from least to greatest and then find the middle number.
49,49,49,52,54,55,55
Your median is 52
The mode is the number that is listed most often
49 is listed 3 times
54 is listed 1 time
52 is listed 1 time
55 is listed 2 times
So, your mode is 49
$6.24. This is because 1.44 / 6 = 0.24, and 0.24 x 26 = 6.24.
