Answer:Your left hand side evaluates to:
m+(−1)mn+(−1)m+(−1)mnp
and your right hand side evaluates to:
m+(−1)mn+(−1)m+np
After eliminating the common terms:
m+(−1)mn from both sides, we are left with showing:
(−1)m+(−1)mnp=(−1)m+np
If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:
(−1)(−1)mn=(−1)n.
It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:
(−1)(−1)mn=(−1)−n=1(−1)n
Multiplying both sides by (−1)n then yields:
1=(−1)2n=[(−1)n]2 which is always true, no matter what n is
1a) 2 lanterns-10 light bulbs
5 lanterns- _ light bulbs
b) The missing term is 25
c) The scale factors are 2:10 and 5:25, 2 to 10 and 5 to 25, 2/10 and 5/25
Work Shown....
2/10=5/x cross multiply
2x=50/2=25
Hope I helped ya...
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Answer:
(Choice B)
Step-by-step explanation:
(7, 0)
7 - 7 = 0
Here, we can see that when 7 is subtracted from x, we get 0 (our y)
Hope this helps!
100 ml of fruit squash
sum the parts of the ratio, that is 2 + 7 = 9 parts
divide 450 ml by 9 to find 1 part
1 part = 
= 50 ml
squash is 2 parts = 2 × 50 = 100 ml
lemonade is 7 parts = 7 × 50 = 350 ml
total = 100 + 350 = 450 ml
Answer:
y-8x+7=0
Step-by-step explanation:
slope(m)=8
using slope intercept form of equation of staright line we get
y=mx+b
y=8*x+b
y-8x=b ................ eq(i)
since the line include the point (2,9) it satisfies the euation,
here x=2 and y=9
equation: y-8x=b
9-8*2=b
9-16=-b
-7=b
substituting the value of b in eq(i) we get
y-8x=-7
y-8x+7=0 is a required equation of the line.
