Answer:
1a. 58/99
1b. 53/90
1c. 29/50
Step-by-step explanation:
let's start with the easiest one
1.(c)
0.58 = 58/100 = 29/50
that is the simplest possible form, as 29 is a prime number and not a factor of 50.
1.(a)
0.585858585858... = 58×0.0101010101010101...
now, we know that 1/"double digit" (like 1/22) mostly produces a repeating pattern with a period length of 2 after the decimal point.
and we find
1/99 = 0.01010101010101...
so, our solution is
58 × 1/99 = 58/99
that is the simplest possible form, as 58 and 99 do not share any factors.
1.(b)
0.5888888888888... = 0.5 + 0.0888888888888... =
= 0.5 + 8×0.01111111111111... = 0.5 + 8×1/10 × 0.1111111111...
we know how to create 0.11111111111... :
1/9 = 0.111111111111111...
so, our solution is
0.5 + 8 × 1/10 × 1/9 = 0.5 + 8/90 = 5/10 + 8/90 =
= 45/90 + 8/90 = 53/90
this is the simplest possible form, as 53 is already a prime number and not a factor of 90.
Answer: =6xy+x..............
Answer:
Slope= -9
Step-by-step explanation:
To find the slope, you need to find two points on the line, so it would be (-1,4) and (0,-5)
You can use the formula and substitute the coordinates
Y2-Y1/X2-X1
so...
-5-4/0-(-1)
-9/1=-9
or you can find the distance between both points and simplify if needed.
So you move 9 down, and one to the right
Answer:
3x²-10x+8
Step-by-step explanation:
To simplify the expression we need to multiply each term in the first bracket with the expression in the second bracket.
x(3x-4)-2(3x-4)
3x²-4x-6x+8
Executing the operations to give a quadratic expression we get:
3x²-10x+8
The simplified expression is therefore
3x²-10x+8
