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Bas_tet [7]
3 years ago
8

Express 9 as a fraction of 15

Mathematics
1 answer:
gogolik [260]3 years ago
7 0
9 as a fraction of 15 is the same as saying what is 9 of 15 or 9 divided by 15. so your answer would be 9/15. Simply put it in fraction form. I hope this helped you!!
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Resolve into partial fractions<br><br>​
lisabon 2012 [21]

Answer:

See below

Step-by-step explanation:

1)

\frac{11 + x}{(2 - x)(x - 3)}  =  \frac{A}{2 - x}  +  \frac{B}{x - 3}  \\  \\  \therefore \:  \frac{11 + x}{(2 - x)(x - 3)}  =  \frac{A(x - 3) +B(2 - x) }{(2 - x)(x - 3)}   \\  \\ \therefore \:  11 + x = Ax - 3A + 2B - Bx \\  \\  \therefore \: 11 + x = - 3A  + 2B  + Ax -  Bx\\  \\  \therefore \: 11 + x = - 3A  + 2B  + (A - B)x \\  \\ equating \: the \: like \: terms \: on \: both \: sides \\ A - B = 1 \\  \therefore \: A  =  B  +  1.....(1) \\  \\  -  3A  + 2B = 11....(2) \\  from \: eq \: (1) \: and \: (2) \\  - 3(B  +  1) + + 2B = 11 \\  \\ - 3B   - 3  + 2B = 11 \\  \\  - B = 11 + 3 \\  \\ B =  - 14  \\ A  =   - 14 +  1 =  - 13 \\  \\  \frac{11 + x}{(2 - x)(x - 3)}  =  \frac{ - 13}{2 - x}  +  \frac{ - 14}{x - 3} \\  \\ \frac{11 + x}{(2 - x)(x - 3)}  = -   \frac{ 13}{2 - x}   -  \frac{ 14}{x - 3}

2)

\frac{12x + 11}{x^2 +x - 6}

=\frac{12x + 11}{x^2 +3x-2x - 6}

=\frac{12x + 11}{x(x +3) -2(x +3)}

\therefore \frac{12x + 11}{x^2 +x - 6}=\frac{12x + 11}{(x +3) (x - 2)}

\therefore \frac{12x + 11}{x^2 +x - 6}=\frac{A}{(x +3)}+\frac{B}{(x - 2)}

\therefore \frac{12x + 11}{x^2 +x - 6}=\frac{A(x-2)+B(x+3)}{(x-2)(x+3)}

\therefore 12x + 11 = A(x-2)+B(x+3)

\therefore 12x + 11 = Ax-2A+Bx+3B

\therefore 12x + 11 = Ax+Bx-2A+3B

\therefore 12x + 11 = (A+B) x-2A+3B

Equating like terms on both sides:

A + B = 12\implies A = 12-B... (1)

- 2A + 3B = 11... (2)

Solving equations (1) & (2), we find:

A = 5, B = 7

\therefore \frac{12x + 11}{x^2 +x - 6}=\frac{5}{(x +3)}+\frac{7}{(x - 2)}

3 0
3 years ago
Solve for x. Write your answer as “x=__”
BabaBlast [244]

Answer:

9x+3x=12x

180/12=15

9 x 15= 135

3 x 15= 45

135+45=180

x=15

Step-by-step explanation:

3 0
2 years ago
The line below are parallel. If the green line has a slope of -1/2, what is the slope of the red line?
MAXImum [283]

The line below are parallel so they have same slopes

If the green line has a slope of -1/2, the slope of the red line is also - 1/2

Answer

-1/2

4 0
3 years ago
Read 2 more answers
There is enough information to prove that triangles tno and gcm are congruent. true false
Hatshy [7]

False,  there is not enough information provided to Prove that both the triangles are congruent.

<h3>What is the congruent triangle?</h3>

Triangles have three sides and three angles, as we discovered in pre-algebra. We also discovered that a triangle's total angle is 180 degrees.

Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them.

Two triangles must have the same angles and, as a result, must be congruent if their sides are the same. If two triangles are congruent or not, we may determine this simply by looking at their sides.

These two triangles are also equivalent if we know that two sides of one triangle and the angle between them are congruent to two sides and the angle between them of another triangle.

If we know that two angles and the side between them in one triangle are congruent with two angles and the side between them in another triangle, then these two triangles are probably congruent.

When two angles and a non-included side in one triangle are congruent to the corresponding angles and side of another triangle, we are left with the final scenario that results in congruent triangles.

The given data doesn't satisfy any of the conditions.

Hence, there is not enough information provided to Prove that the two triangles are congruent.

To learn more about the, congruent triangle visit:

brainly.com/question/12413243

#SPJ4

5 0
1 year ago
Rewrite with the LCD
anygoal [31]
1/4 + 3/8

Rewrite with the LCD (lowest common denominator)

Remember : the denominator is just the bottom number on a fraction.

Let's look at both of our given fractions denominator's.

4 & 8 → What do both of these numbers have in common? They both go into 8!

How many times does 4 go into 8? → Twice

How many times does 8 go into 8? → Once

So, because of that, we must multiply the top number (numerator) of each fraction with either one, or two.

First fraction : 1/4 × 2/2 =2/8 → So, our first fraction changes.

Second fraction : 3/8 × 1/1 = 3/8 → However, our second fraction changes.

So, our new question looks like this : 2/8 + 3/8

If you wanted us to answer this question, we simply need to add the top numbers (numerators) with one another because both fractions have the same bottom numbers (denominators).

2 + 3 = 5

So, our answer is 5/8 and our question rewritten with the LCD is : 2/8 + 3/8

~Hope I helped!~

 
6 0
3 years ago
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