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VashaNatasha [74]

2 years ago

12

1 . fraction bar a fraction in which the numerator is smaller than the denominator 2 . numerator the number under the fraction l

ine; tells how many equal parts the whole was broken into 3 . fraction the line between the numerator and the denominator of a fraction 4 . denominator a number that shows part of a whole 5 . proper fraction the number above the fraction line; tells how many parts of the whole exist

1 answer:

11Alexandr11 [23.1K]2 years ago

8 0

Answer:

The number under the fraction line tells how many equal parts the whole was broken into

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Simplifying rational expressions

Sonbull [250]

1. $\frac{(c + 8)(c - 8)}{(c - 8)(c + 3)}_,_$
   $\frac{c + 8}{c + 3}_,_$

2. $\frac{n^{2} + 4n - 12}{n^{2} + 2n - 8}_,_$
   $\frac{n^{2} + 6n - 2n - 12}{n^{2} + 4n - 2n - 8}_,_$
   $\frac{n(n) + n(6) - 2(n) - 2(6)}{n(n) + n(4) - 2(n) - 2(4)}_,_$
   $\frac{n(n + 6) - 2(n + 6)}{n(n + 4) - 2(n + 4)}_,_$
   $\frac{(n - 2)(n + 6)}{(n - 2)(n + 4)}_,_$
   $\frac{n + 6}{n + 4}_,_$

3. $\frac{42x^{2}y^{3}}{28x^{3}y}_,_$
   $\frac{3y^{2}}{2x}_,_$

4. $\frac{m^{2} - 3m - 10}{m - 5}_,_$
   $\frac{m^{2} - 5m + 2m - 10}{m - 5}_,_$
   $\frac{m(m) - m(5) + 2(m) - 2(5)}{m - 5}_,_$
   $\frac{m(m - 5) + 2(m - 5)}{m - 5}_,_$
   $\frac{(m + 2)(m - 5)}{m - 5}_,_$
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3 0

3 years ago

I need help. Find the value of each variable.

azamat

Answer:

x=8, y=4 $\sqrt{3}$

Look up the 30-60-90 triangle rule

8 0

2 years ago

Read 2 more answers

Please answer question three and four if you can :)<br> Show full working out ty;)

nikklg [1K]

Step-by-step explanation:

3

Let D be the mid point of side BC, [B(2, - 1), C(5, 2)].

Therefore, by mid-point formula:

$D = ( \frac{2 + 5}{2}, \: \: \frac{ - 1 + 2}{2} ) = ( \frac{7}{2}, \: \: \frac{ 1}{2} ) \\ \therefore D= (3.5, \: \: 0.5) \\ \& \: A=(-1,\:\:4)...(given) \\\\ now \: by \: distance \: formula \\ \\ Length \: of \: segment \: AD \\ = \sqrt{( - 1 - 3.5)^{2} + {(4 - 0.5)}^{2} } \\ = \sqrt{(4.5)^{2} + {(3.5)}^{2} } \\ = \sqrt{20.25 + 12.25 } \\ = \sqrt{32.5} \\ \red{ \boxed{\therefore Length \: of \: segment \: AD = 5.7 \: units}}$

4 (a)

Equation of line AB[A(2, 1), B(-2, - 11)] in two point form is given as:

$\frac{y-y_1}{y_1-y_2} =\frac{x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-1}{1-(-11)} =\frac{x-2}{2 - (-2) } \\\\\therefore \frac{y-1}{1+11} =\frac{x-2}{2 +2} \\\\\therefore \frac{y-1}{12} =\frac{x-2}{4} \\\\\therefore \frac{y-1}{3} =\frac{x-2}{1} \\\\\therefore y-1= 3(x - 2)\\\\\therefore y= 3x - 6+1\\\\\therefore y= 3x - 5\\\\ \huge \purple {\boxed {\therefore 3x - y-5=0}} \\$

is the equation of line AB.

Now we have to check whether C(4, 7) lie on line AB or not.

Let us substitute x = 4 & y = 7 on the Left hand side of equation of line AB and if it gives us 0, then C lies on the line.

$LHS = 3x - y-5\\=3\times 4-7-5\\= 12-12\\=0\\= RHS$

Hence, point C (4, 7) lie on the straight line AB.

4(b)

Like we did in 4(a), first find the equation of line AB and then substitute the coordinates of point C in equation and if they satisfy the equation, then all the three points lie on the straight line.

4 0

3 years ago

Determine which lines in the diagram are parallel. A) a || b B) b || c C) a || c D) b || d

spayn [35]

Line a and line c are parallel lines that are given as a || c. Then the correct option is C.

<h3>How are parallel straight lines related?</h3>

Parallel lines 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.

Then we have

The distance between line a and line c is constant. Then line a and line c are parallel lines.

Line a || line c. Then the correct option is C.

Learn more about parallel lines here:

brainly.com/question/13857011

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7 0

2 years ago

Simplify the ratio 20:50:100

ad-work [718]

Answer:

2:5:10

Step-by-step explanation:

8 0

3 years ago