The two are perpendicular to each other because the two slopes are negative reciprocals
(Y2 - Y1) / (X2 - X1)
First slope:
( 1 - (-1)) / (-11 - (-6))
2/-5
Second slope:
(-13 - (-8)) / (-5 - (-3))
-5/-2 or 5/2
You know when two aliens are perpendicular when you multiply the two slopes and get -1 as the product
-2/5 X 5/2 = -1
Thus the two lines are perpendicular to each other.
Answer:
C. T = 4n+6/2
Step-by-step explanation:
4n = 2(T-3)
or, 4n = 2T-6
or, 4n + 6 = 2T
or, 4n + 6 / 2 = T
or, T = 4n + 6 / 2
Answer:
D. 3
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
Function [SIF]: y = 3x + 5
<u>Step 2: Break Function</u>
<em>Identify Parts</em>
Slope <em>m</em> = 3
y-intercept <em>b</em> = 5
There are 30-18 = 12 girls. Their percentage is
... 12/30 × 100% = 40%
The given numbers are 13, 27, 81, 21,43, 48,23,39,45.
Square number is that number which is a perfect square means if you multiply a number by itself the number you obtained is a perfect square i.e it's square root is a natural number.
√13=not a natural number
√27=√3×√3×√3=3√3=irrational number
√81=√9×√9=9=a natural number
√21=not a natural number
√43=not a natural number
√48=4√3=not a natural number
√23=not a natural number
√39=not a natural number
√45=3√5=not a natural number
So, out of following numbers 13 27 81 21 43 48 23 39 45→81 is the only square number.