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2 years ago

What is the simplified form of the quantity 1 over b minus 1 over a all over the quantity 1 over b plus 1 over a?

Mathematics

1 answer:

jolli1 [7]2 years ago

4 0

Option B: (b-a)/(b+a) is the correct answer

Step-by-step explanation:

The given expression is;

$\frac{\frac{1}{b}-\frac{1}{a}}{\frac{1}{b}+\frac{1}{a}}$

First of all we have to take LCM in both numerator and denominator

So,

$=\frac{\frac{b-a}{ab}}{\frac{b+a}{ab}}$

The reciprocal of the denominator will be multiplied with the numerator for simplification

So,

$=\frac{b-a}{ab} * \frac{ab}{b+a}\\= \frac{b-a}{b+a}$

Hence,

Option B: (b-a)/(b+a) is the correct answer

Keywords: Fractions, expressions

Learn more about fractions at:

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How to solve 9x 4 2/5 in words

Natalija [7]

Answer:

39.6

Thirty nine point six

Step-by-step explanation:

9 x 4 2/5

9 x 22/5

198/5 = 39.6

Thirty nine point six

3 0

2 years ago

For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the y-axis? Circle

gogolik [260]

Answer:

Option B.

Step-by-step explanation:

If two lines are parallel then their slopes are always same.

Following this rule we can find the slope by the given pairs of coordinates of the options.

If the slope of the line is same as the slope of y axis then the line passing through these points will be parallel to the y axis.

Slope of y - axis = ∞

Option A). Slope = $\frac{y-y'}{x-x'}$

= $\frac{24-8.5}{3.22-3.2}$

= $\frac{15.5}{0.02}$

= 775

Therefore, line passing through points (3.2, 8.5) and (3.22, 24) is not parallel to y axis.

Option B). Slope of the line passing through $(\frac{40}{3},\frac{14}{3})$ and $(\frac{40}{3},7)$ will be

= $\frac{\frac{14}{3}-7}{\frac{40}{3}-\frac{40}{3}}$

= ∞

Therefore, line passing though these points is parallel to the y axis.

Option C). Slope of the line passing through $(2.9,5.4)$ and (7.2, 5.4)

= $\frac{5.4-5.4}{7.2-2.9}$

= 0

Therefore, slope of this line is not equal to the slope of y axis.

Option B. is the answer.

5 0

3 years ago

Add: (112 + 2) + (92 - 4)

pantera1 [17]

Answer:

See below.

Step-by-step explanation:

(112+2)+(92-4)

114+88

202

-hope it helps

5 0

1 year ago

Read 2 more answers

An arithmetic sequence is given below.

Mashcka [7]

Given that $a_1=24$ and $a_2=17$ , if $a_n$ is an arithmetic sequence, then the common difference between successive terms is $d=a_2-a_1=17-24=-7$ .

You then have

$a_2=a_1+d$
$\implies a_3=a_2+d=a_1+2d$
$\implies a_4=a_3+d=a_1+3d$
$\implies \cdots\implies a_n=a_{n-1}+d=\cdots=a_1+(n-1)d$

So the explicit formula for the $n$ th term is

$a_n=24-7(n-1)$

3 0

2 years ago

PLS ANSWER QUICK, HELP AND EXPLAIN

Eduardwww [97]

Answer:

Step-by-step explanation:

5 0

2 years ago