Perfect square means that it has two factors that are the same.
The last two are perfect squares.
m^2 + 24m + 144 can be factored to (m+12)(m+12)
m^2 + 10m + 25 can be factored to (m+5)(m+5)
Answer:
Step-by-step explanation:
A line is perpendicular to another if its slope is the negative reciprocal of the other.
Your lines are in slope intercept form here, y=mx+b, where m is the slope. We can see the given line has slope 
. The negative reciprocal of that is 
, which is the slope of the third answer choice.
Answer:
Step-by-step explanation:
So first, lets solve for the intercepts.
Let’s start by finding the x intercept.
Plug in 0 for y.
10x+9(0)=-90
10x=-90
X=-9, so your first point on your line will be (-9,0).
Now the y intercept.
Plug in 0 for x.
10(0)+9y=-90
9y=-90
Y=-10, so your second point on your line will be (0,-10).
Use those points to create your line.
Answer:
Age Frequency Cumulative Frequency
Less than 30 27 27
Less than 40 37 27 + 37 = 64
Less than 50 1 1 64 + 11 = 75
Less than 60 3 75 + 2 = 77
Less than 70 5 77 + 5 = 82
Less than 80 1 82 + 1 = 83
Less than 90 2 83 +2 = 85
Step-by-step explanation:
Given:
The Frequency Distribution table of ages of best actresses when award was won
To find:
Construct the cumulative frequency distribution
Solution:
In order to construct cumulative frequency distribution for the given data, each frequency from above table is added to the sum of the previous frequencies. For example, frequency for Less than 40 is 37 and the previous frequency (less than 30) is 27 so in order to calculate cumulative frequency 27 i.e. previous frequency is added to 37 (frequency of less than 30). The complete table is given above.
4 + 5 = 9
£180 / 9 = £20
£20 x 4 = £80
£20 x 5 =£100
Answer:
£80 : £100
hope it helped :)
