Remember
(x^m)/(x^n)=x^(m-n)
7^16/6^12=7^(16-12)=6=7^4
so
7^4=7^-18/?
?=7^?
7^4=7^-18/7^?
7^-18/7^?=7^(-18-?)=7^4
-18-?=4
add 18
-?=22
tmes -1
?=-22
7^-22
answer is C
Answer:
35
Step-by-step explanation:
ok let's look at these old farts.
alvin is 8 years older than elga, so elga needs 8 more years to be as old as Alvin is. AKA,
Alvin = Elga + 8
The sum of their ages is 78.
Alvin + Elga = 78
Now put the equations together,
(Elga + 8) + Elga = 78
2 * Elga = 70
Elga = 35
Therefore, Elga is 35 years old! So old !!
Answer:
A=24m^2
Step-by-step explanation:
to find the area of this figure you can approach it multiple ways, the simplest way is to split it into two rectangles
respectively one 6m by 3m and another 3m by 2m
find the areas of each rectangle and add them both to get the total area of the figure
(6m*3m)+(3m*2m)=(18+6)m^2=24m^2
Answer:
7) BC = 10
8) BD = 20
Step-by-step explanation:
7) The segment addition theorem tells you ...
AB +BC +CD = AD
(3x+2) +(2x+4) +(3x-2) = 28
8x +4 = 28 . . . . collect terms
8x = 24 . . . . . . . subtract 4
x = 3 . . . . . . . . . divide by 8
BC = 2x+4 = 2(3) +4
BC = 10
__
8) AB +BD = AC +CD
(2x -14) +(-7 +3x) = (2x -3) +(9)
5x -21 = 2x +6
3x = 27
x = 9
BD = -7 +3x = -7 +3(9)
BD = 20
Answer:
r=63
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
r/3-(21)=0 r
Simplify —
3
r
— - 21 = 0
3 2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
21 21 • 3
21 = —— = ——————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
