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juin [17]
3 years ago
12

Consider the segment below.

Mathematics
1 answer:
frez [133]3 years ago
4 0

Answer:

foot

Step-by-step explanation:

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Which expression is equivalent to StartFraction 2 a + 1 Over 10 a minus 5 Endfraction divided by StartFraction 10 a Over 4 a squ
const2013 [10]

Answer:

\frac{(2a + 1)^2}{50a}

Step-by-step explanation:

Given

\frac{2a + 1}{10a - 5} / \frac{10a}{4a^2 - 1}

Required

Find the equivalent

We start by changing the / to *

\frac{2a + 1}{10a - 5} / \frac{10a}{4a^2 - 1}

\frac{2a + 1}{10a - 5} * \frac{4a^2 - 1}{10a}

Factorize 10a - 5

\frac{2a + 1}{5(2a - 1)} * \frac{4a^2 - 1}{10a}

Expand 4a² - 1

\frac{2a + 1}{5(2a - 1)} * \frac{(2a)^2 - 1}{10a}

\frac{2a + 1}{5(2a - 1)} * \frac{(2a)^2 - 1^2}{10a}

Express (2a)² - 1² as a difference of two squares

Difference of two squares is such that: a^2- b^2= (a+b)(a-b)

The expression becomes

\frac{2a + 1}{5(2a - 1)} * \frac{(2a - 1)(2a + 1)}{10a}

Combine both fractions to form a single fraction

\frac{(2a + 1)(2a - 1)(2a + 1)}{5(2a - 1)10a}

Divide the numerator and denominator by 2a - 1

\frac{(2a + 1)((2a + 1)}{5*10a}

Simplify the numerator

\frac{(2a + 1)^2}{5*10a}

\frac{(2a + 1)^2}{50a}

Hence,

\frac{2a + 1}{10a - 5} / \frac{10a}{4a^2 - 1} = \frac{(2a + 1)^2}{50a}

4 0
3 years ago
Khianna wants to make a batch of her Grandma chocolate chip cookies from a friend. The recipe is shown on the recipe card below
romanna [79]
Poor <span>Khianna.  Let's help her out.

For the original recipe she needs </span>1 \frac 1 2 = \frac 3 2 cups of brown sugar but only has 1 \frac 1 8 = \frac 9 8 .  So the fraction of the brown sugar she has is

\dfrac{ \frac{9}{8} }{\frac 3 2} = \frac 9 8 \times \frac 2 3 = \frac 3 4

She has to scale everything by a factor of  \frac 3 4

I won't multiply everything by 3/4 for you.  2 cups butter becomes 1 and a half cups butter, 1 tsp vanilla becomes 3/4 tsp, etc.


8 0
3 years ago
Calculate the perimeter<br> show your work
Lena [83]

Answer:

1600

Step-by-step explanation:

P=LxWxH

so P=20x10x8=1600

(i think)

4 0
3 years ago
Can you guys please help me with b
Scilla [17]

Answer:


Step-by-step explanation:

you just make the mixed number an improper fraction then you draw it or just plot it

6 0
4 years ago
Find the Least Common Domantior(LCD) that would eliminate the fractions in this equation?
gavmur [86]
I hope this helps you



1/2y=7/8+2/3


1/2y=7.3/8.3+2.8/3.8


1/2y =21/24+16/24


1/2y=37/24


y=37/12
5 0
3 years ago
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