Expanded: 8.000 + .500 + .010 + .007
Word Form: eight ones, five tenths, one hundredth, seven thousandths
Hope this helps!
The travels you have described are:
(Middle floor) + 8 + 5 - 9 + 7 - 32
= (middle floor) + 20 - 41
= (middle floor) - 21 brought her to floor #1.
So Middle floor - 21 = 1
Add 21 to each side: Middle floor = 22
The building has (2 x middle floor) = 44 floors.
Y = a number
"is" means "equal to"
Equation:
Y - 8 = 94
Solving for Y:
Y - 8 = 94
Add 8 to both sides
Y = 102
Answer: Y = 102
Hope this helps!!
We know that :
Ф Product of the slopes of two lines perpendicular to each other should be equal to -1
Let the slope of the line perpendicular to given line be : M
Given equation of the line : y = -1/2x + 4
This line is in the form : y = mx + c, where m is the slope and c is the y intercept
Comparing with y = mx + c :
we can notice that slope of the given line is -1/2
⇒ M × -1/2 = -1
⇒ M × 1/2 = 1
⇒ M = 2
<u>Answer</u> : Slope of the line perpendicular to given line is 2
Answer:
Tn = 64-4n
Step-by-step explanation:
The nth term of an AP is expressed as:
Tn = a+(n-1)d
a is the common difference
n is the number of terms
d is the common difference
Given the 6th term a6 = 40
T6 = a+(6-1)d
T6 = a+5d
40 = a+5d ... (1)
Given the 20th term a20 = -16
T20 = a+(20-1)d
T20 = a+19d
-16 = a+19d... (2)
Solving both equation simultaneously
40 = a+5d
-16 = a+19d
Subtracting both equation
40-(-16) = 5d-19d
56 = -14d
d = 56/-14
d = -4
Substituting d = -4 into equation
a+5d = 40
a+5(-4) = 40
a-20 = 40
a = 20+40
a = 60
Given a = 60, d = -4, to get the nth term of the sequence:
Tn = a+(n-1)d
Tn = 60+(n-1)(-4)
Tn = 60+(-4n+4)
Tn = 60-4n+4
Tn = 64-4n
