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mamaluj [8]
2 years ago
5

Which shows the expressions rewritten with the least common denominator?

Mathematics
1 answer:
baherus [9]2 years ago
7 0

Answer:

  D.  (14x-4)/(8x^2) and (x^2-x)/(8x^2)

Step-by-step explanation:

The least common denominator will be 8x^2, the product of 2 and x to the highest of their powers in either of the denominators.

  \left\{\dfrac{7x-2}{4x^2},\ \dfrac{x-1}{8x}\right\}=\left\{\dfrac{7x-2}{4x^2}\cdot\dfrac{2}{2},\ \dfrac{x-1}{8x}\cdot\dfrac{x}{x}\right\}\\\\=\left\{\dfrac{14x-4}{8x^2},\ \dfrac{x^2-x}{8x^2}\right\}

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What is volume triangluar prism width of 6, length of 5, and a height of 13
Bess [88]

Answer:

1

4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

Step-by-step explanation:

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4 0
3 years ago
Perform the indicated operation and simplify. (x+3)(x2−5x+2) Write your answer in standard form. No spaces when entering your an
Deffense [45]

Answer:

x^3-2x^2-13x+6

Step-by-step explanation:

We are to simplify the expression (x+3)(x^2−5x+2). This is as shown;

(x+3)(x^2−5x+2)

Expand

= x(x^2)-5x(x)+2x+3x^2-3(5x)+6

= x^3 - 5x^2+2x+3x^2-15x+6

Collect the like terms

= x^3 - 5x^2+3x^2+2x-15x=6

= x^3-2x^2-13x+6

This gives the required expression

6 0
3 years ago
Write the equation of a line parallel to y=3x-8 that goes through the point (-4,7). Write the final answer in slope intercept fo
AleksandrR [38]

Answer:

y = 3x + 19

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 )

y = 3x - 8 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , thus

y = 3x + c ← is the partial equation

To find c substitute (- 4, 7) into the partial equation

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y = 3x + 19 ← equation of parallel line

5 0
3 years ago
Which is greater thirty six and nine thousandths or four tens
malfutka [58]

Answer:

four tens

Step-by-step explanation:

four tens is greater because:

four tens = 40

thirty six and nine thousandths = 36.009

36.009 < 40

6 0
4 years ago
6. The angle of elevation from a small boat to the top of a lighthouse is 25°. If the top of the lighthouse is 150
Anna007 [38]

Answer:

321.68feet

Step-by-step explanation:

Given the following

Top of the house above the sea level  = 150feet = opposite

Angle of elevation = 25°

Required

Distance from the boat to the base of the house(adjacent)

Using the SOH CAH TOA identity

tan theta = opp/adj

tan 25 = 150/d

d = 150/tan25

d = 150/0.4663

d = 321.68

Hence the required distance is  321.68feet

3 0
3 years ago
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