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Simora [160]
4 years ago
9

What is the quotient? StartFraction a minus 3 Over 7 EndFraction divided by StartFraction 3 minus a Over 21 EndFraction

Mathematics
2 answers:
kow [346]4 years ago
7 0

Answer:

the answer is -3

Step-by-step explanation:

Licemer1 [7]4 years ago
5 0

Answer:

The quotient is -3

Step-by-step explanation:

we have

\frac{a-3}{7}:\frac{3-a}{21}

Multiply in cross

\frac{(a-3)21}{(3-a)7}

Simplify

Remember that

\frac{21}{7}=3

substitute

\frac{(a-3)3}{(3-a)}

we know that

(3-a)=-(a-3)

substitute

\frac{(a-3)3}{-(a-3)}=-3

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Factorise 6x²-14x-12​
maksim [4K]

Answer:

2(x - 3)(3x + 2)

Step-by-step explanation:

Given

6x² - 14x - 12 ← factor out 2 from each term

= 2(3x² - 7x - 6) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 6 = - 18 and sum = - 7

The factors are - 9 and + 2

Use these factors to split the x- term

3x² - 9x + 2x - 6 ( factor the first/second and third/fourth terms )

= 3x(x - 3) + 2(x - 3) ← factor out (x - 3) from each term

= (x - 3)(3x + 2)

Thus

3x² - 7x - 6 = (x - 3)(3x + 2) and

6x² - 14x - 12 = 2(x - 3)(3x + 2) ← in factored form

8 0
3 years ago
Write a numerical expression for the verbal expression. fourteen decreased by three times four
Nana76 [90]

Answer: 14 - 3(4)

Step-by-step explanation:

Decreased just means subtract

8 0
3 years ago
Find an equation of the line that passes through (-5,-7) and is parallel to 5x+9y+18=0. Give answer in slope intercept form
Kipish [7]

Answer:

y = - \frac{5}{9} x - \frac{88}{9}

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 )

Rearrange 5x + 9y + 18 = 0 into slope- intercept form

Subtract 5x + 18 from both sides

9y = - 5x - 18 ( divide all terms by 9 )

y = - \frac{5}{9} x - 2 ← in slope- intercept form

with m = - \frac{5}{9}

Parallel lines have equal slopes, thus

y = - \frac{5}{9} x + c ← is the partial equation

To find c substitute (- 5, - 7) into the partial equation

- 7 = \frac{25}{9} + c ⇒ c = - 7 - \frac{25}{9} = - \frac{88}{9}

y = - \frac{5}{9} x - \frac{88}{9} ← equation of line

5 0
3 years ago
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Multiply All Of Them U Will Get The Answer Type The Exact Thing The Calculated Answer Says
8 0
3 years ago
Read 2 more answers
If (-3, y) lies on the graph of y = 3x, then y=<br> 01/27<br> 0-1<br> 0-27
AlladinOne [14]

Answer:

b

Step-by-step explanation:

4 0
3 years ago
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