The reciprocal of a fraction is only a whole number when
the numerator of the original fraction is ' 1 ' or a factor of
the denominator (original fraction is not in simplest form).
Any other time, the reciprocal of the fraction is another fraction.
(It'll be an improper fraction, and can be written as a mixed number.)
The reciprocal of a fraction is just the same fraction
turned upside down.
-- The reciprocal of 1/5 is 5/1 or just 5 .
(Original numerator is ' 1 '.)
-- The reciprocal of 5/25 is 25/5 or just 5 .
(Original fraction is not in simplest form.)
-- The reciprocal of 5/7 is 7/5 , or 1 and 2/5 .
Answer:
Attached please find response.
Step-by-step explanation:
We wish to find the area between the curves 2x+y2=8 and y=x.
Substituting y for x in the equation 2x+y2=8 yields
2y+y2y2+2y−8(y+4)(y−2)=8=0=0
so the line y=x intersects the parabola 2x+y2=8 at the points (−4,−4) and (2,2). Solving the equation 2x+y2=8 for x yields
x=4−12y2
From sketching the graphs of the parabola and the line, we see that the x-values on the parabola are at least those on the line when −4≤y≤2.
Answer:
Step-by-step explanation:
-9b + b = 2b - (b + 1)
Let's simplify by taking out the parenthesis.
-9b + b = 2b - b - 1
Now, we add like terms.
-8b = b - 1
Now, let's subtract b from both sides of the equal sign in order to isolate b.
-8b - b = b - 1 - b
Simplify!
-9b = -1
Divide both sides by -9.
-9b ÷ b = -1 ÷ -9
Simplify.
Answer:
56
Step-by-step explanation:
Answer:
78 degrees
Step-by-step explanation:
From the diagram;
<2 = 78 degrees
<2 = <6 = 78degrees (corresponding angles)
<6 = <8 = 78 degrees (vertically opposite angles)
Hence the measure of 8 is 78 degrees