we know that
A rational number is the quotient of two integers with a denominator that is not zero , and can be represented by a repeating or terminating decimal.
Repeating Decimal is a decimal number that has digits that go on forever
Terminating decimal is a decimal number that has digits that do not go on forever.
examples
(the repeats forever)----> Is a Repeating Decimal
(it has two decimal digits)----> Is a Terminating Decimal
therefore
the answer is
A rational number can be written as the ratio of one to another and can be represented by a repeating or decimal
Answer:
Step-by-step explanation:
1) (xy+ 9y + 2) and (xy – 3)
Each term of second expression will be multiplied by first bracket.
xy(xy+9y+2) -3(xy+9y+2)
x²y²+9xy²+2xy-3xy-27y-6
x²y²+9xy²-xy-27y-6
2)(2xy + x + y) and (3xy2 – y)
3xy²(2xy+x+y) -y(2xy+x+y)
6x²y³+3x²y²+3xy³-2xy²-xy-y²
6x²y³ – 2xy² + 3x²y² – xy + 3xy³ – y²
3) (x – y) and (x + 3y)
x(x-y) +3y(x-y)
x²-xy+3xy-3y²
x²+2xy-3y²
4) (xy + 3x + 2) and (xy – 9)
xy(xy + 3x + 2) -9(xy + 3x + 2)
x²y²+3x²y+2xy-9xy-27x-18
x²y²+3x²y-7xy-27x-18
5) (x2 + 3xy – 2) and (xy + 3)
xy(x2 + 3xy – 2) +3(x2 + 3xy – 2)
x³y+3x²y²-2xy+3x²+9xy-6
x³y+3x²+3x²y²+7xy-6
6) (x + 3y) and (x – 3y)
x(x + 3y) -3y(x + 3y)
x²+3xy-3xy-9y²
x²-9y² ....
Answer: (xy + 9y + 2) and (xy – 3) —> x3y + 3x2 + 3x2y2 + 7xy – 6
(2xy + x + y) and (3xy2 – y) —> 6x2y3 – 2xy2 + 3x2y2 – xy + 3xy3 – y2
(x – y) and (x + 3y) —> (x + 3y) and (x – 3y)
(xy + 3x + 2) and (xy – 9) —> x2y2 + 3x2y – 7xy – 27x – 18
Step-by-step explanation:
I think that’s right I’m sorry if it’s not.
Yes, parallel lines do not touch each other ever.
Parallellines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.
We are given that Ali says if two lines share a point they cannot be parallel .
Horizontal refers to something that goes parallel to ground level. Of course it depends on from where you see that thing.
When you slice an object horizontally, you cut it parallel to ground.
We know that parallel linesdo not touch each other ever.
so that's make ali statement correct.
Learn more about parallellines here:
#SPJ5
Answer:
The amount of butter, sugar and flour does Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 butter
Explanation:
Consider the number of cup of flour used to be x
According to question,
Recipe calls for 1.5 times as much flour as sugar
Sugar =
Sugar = 1.5x
Butter = ½ x = 0.5x
According to question,
Flour + Sugar + Butter = 7.5
x + 1.5x + 0.5x = 7.5
3x = 7.5
x = 2.5
Sugar = 1.5x = 1.5(2.5) = 3.75
Butter = 0.5(2.5) = 1.25
Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 cups butter