- Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept.
If two lines are perpendicular, then they will have slopes that are <u>negative reciprocals</u> to each other. An example of negative reciprocals are 2 and -1/2
<h2>6.</h2>
Now with line 2, I have to convert it to slope intercept form. Firstly, subtract 2x on both sides of the equation: 
Next, divide both sides by -5 and your slope-intercept form is 
Now since 2/5 is <em>not</em> the negative reciprocal of -2/5, <u>these lines are not perpendicular.</u>
<h2>7.</h2>
It's pretty much the same process; convert to slope-intercept and determine if negative reciprocal. This time I'll brush through them:
Now since 2 <em>is</em> the negative reciprocal of -1/2, <u>these lines are perpendicular.</u>
The median of the distribution is 4.
<h3>What is the median?</h3>
A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.
The median is the number at the center of the data set.
Arranging the numbers in the histogram in ascending order is: 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 9, 10
- Total numbers = 21
- Median = 1/2 x (n + 1)
1/2 x 22 = 11th number 4
To learn more about histograms, please check: brainly.com/question/14473126
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Answer:
Area of the rectangular doormat = 2/5 m²
Step-by-step explanation:
Length of the rectangular doormat = 4/5m
Width of the rectangular doormat = 1/2m
What is the area of the doormat?
Area of a rectangle = length × width
= 4/5m × 1/2m
= (4×1) / (5×2)
= 4 / 10
= 2/5 m²
Area of the rectangular doormat = 2/5 m²
330 minutes watched
330 ÷ 4 = 82.5 mins
1 hour 22minuites and 30 seconds spent watching
Answer:
an exponential equation has the form y=ar^x where y=final amount, a=initial amount, r=rate, and x=time, in this case
y=200(1.18)^x
Step-by-step explanation:
