Answer:
x=9 x=-1
Step-by-step explanation:
2(x-4)^2=50
Divide each side by 2
2/2(x-4)^2=50/2
(x-4)^2=25
Take the square root of each side
sqrt((x-4)^2)=sqrt(25)
x-4 = ±5
x-4 =5 x-4 = -5
Add 4 to each side
x-4+4=5+4 x-4+4 = -5+4
Answer:
1a) 93ten
1b) 135eight
2a) 565ten
2b) 769ten
Step-by-step explanation:
1a)
1011101
7 digits long the first digit (the one that is most far right) is the ones digit or 2^0 digit and so the last digit (the most far left) is 2^6.
So to put the number in base 10 we do:
1(2^6)+0(2^5)+1(2^4)+1(2^3)+1(2^2)+0(2^1)+1(2^0)
=64+0+16+8+4+0+1
=64+16+8+4+1
=(64+16)+(8+4+1)
=80+13
=93
1b)
93
What is the hightest power of 8 in 93?
8^x=93
8^1=8
8^2=64
8^3 would be a factor of 8 too much
So how many 8^2 's are in 93?
64 goes into 93 how many times?
It's once with a remainder of 93-64=29.
So now 29...what is the highest power of 8 that goes into 29? 8^1=8.
How many times? 3(8)=24 with remainder 5.
So 93=1(8^2)+3(8^1)+5(8^0).
93=135eight
2a) 2341six
2(6^3)+3(6^2)+4(6^1)+1(6^0)
2(216)+3(36)+4(6)+1
432+108+24+1
540+25
565
2b) 30001four
3(4^4)+0(4^3)+0(4^2)+0(4^1)+1(4^0)
3(256)+0+0+0+1
768+1
769
Answer:
7/15
Step-by-step explanation:
hope this helps?:)
W= width
L= length= 2W-4
Perimeter= 70
FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W
FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22
CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70
ANSWER:
length= 22 inches
width= 13 inches
Hope this helps! :)
