Answer:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240
Hence proved Conjecture is correct
L.H.S=R.H.S
Step-by-step explanation:
Consider the pattern:
8(5)=10(5-1)=40
8(5) + 8(25) = 10(25 - 1) =240
8(5) + 8(25) + 8(125) = 10(125 - 1) =1240
8(5) + 8(25) + 8(125) + 8(625) = 10(625 - 1)=6240
According to inductive reasoning next term of pattern will become:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240
Checking whether conjecture is correct or not:
Consider L.H.S:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)
40+200+1000+5000+25000
31240
R.H.S:
31240
Hence proved Conjecture is correct
L.H.S=R.H.S
Answer:
y = - 
Step-by-step explanation:
Substitute x = - 3 into the expression
2x - 7y = 30
2(- 3) - 7y = 30
- 6 - 7y = 30 ( add 6 to both sides )
- 7y = 36 ( divide both sides by - 7 )
y =
= - 
We first calculate the front and back which are 2 congruent(equal) triangles. The 2 areas together is...
9*6/2*2=54
Now we want to calculate the 2 rectangles at the top right and top left of the shape they are also congruent(equal). The 2 areas together is...
7*5*2=70
The last part is the rectangle on the bottom with area...
9*5=45
Now we just need to add them all together...
54+70+45=124+45=169
I hope this helped you, if you have any questions about this solution just ask me in the comments :)
Answer:
Step-by-step explanation:
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Answer:
hopefully this is correct.
hope this helps