Answer:
see the explanation
Step-by-step explanation:
we have
0.888...
This is a <u>repeating decimal</u> (Is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending)
Convert to fraction number
Let
x=0.888...
10x=8.888...
Subtract 0.888... from 8.888... to remove the decimal
10x-x=8.888...-0.888...
9x=8
Solve for x
x=8/9
therefore
Mike fraction is incorrect
because 4/5=0.8
0.8 is a <u>terminating decimal </u>(It's a decimal with a finite number of digits)
Mike's mistake was considering the number as a terminating decimal instead of a repeating decimal
Beth is correct
because
If you divide 8/9
the result is 0.8888888...
Answer:
slope = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
9x - 3y = - 54 ( subtract 9x from both sides )
- 3y = - 9x - 54 ( divide all terms by 0 3 )
y = 3x + 18 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
slope of parallel line is 3
Answer:
The answer is A) y+4 =3(x+3)
Step-by-step explanation:
The slope is the rate of change, which you can see from the graph is m = 3/1 = 3.
Your options are given in point-slope form:
y-y1=m(x-x1)
Pick a point from the graph. I used;
(-3, -4). Now plug this into your point slope form equation.
y-(-4) = 3(x-(-3))
y+4=3(x+3)
Consider the triangle (<em>in </em><em>which </em><em>angle</em><em>4</em><em> </em><em>is </em><em>present</em>)
by angle sum property,
20 + 40 + angle4 = 180
60 + angle4 = 180
angle4 = 180 - 60
angle4 = 120
Also,
angle2 = 120 (vertically opposite angles)
angle1 + angle2 = 180 (linear pair)
angle1 + 120 = 180
angle1 = 180 - 120
angle1 = 60
4 g/cm^3
D=MV
D=20g(5 cm^3)
