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Vesna [10]
2 years ago
9

Which is an equivalent expression for 21a+35?

Mathematics
1 answer:
ki77a [65]2 years ago
5 0

Answer:

7(3a + 5)

Step-by-step explanation:

Rewrite 21 as 7 · 3

Rewrite 35 as  7 · 5

Therefore,

⇒ 21a + 35 = 7 · 3a + 7 · 5

Factor out common term 7:

⇒ 7 · 3a + 7 · 5 = 7(3a + 5)

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The slope of the line given its equation is calculated through, m = -A / B. The slope of the given line is 4/3. The line perpendicular to it has the slope of -3/4. The slope-point form of the equation is, 
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where m is the slope and x1 and y1 the abscissa and ordinate of the point, respectively. 
Substituting the values above, 
                                       y --2 = (-3/4)(x - 3)

Simplifying the equation gives 3x + 4y = 1.
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The blue dot is at what value on the number -7 -9 line?
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Step-by-step explanation:

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2 years ago
Addition of unlike fractions 5/3 + 7/4​
Maru [420]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{3 \frac{5}{12}}}}}}

Step-by-step explanation:

\star{ \sf{ \:  \:  \frac{5}{3}  +  \frac{7}{4}}}

Convert the given fractions into like fractions.

To do so, Take the L.C.M ( Least Common Multiple ) of 3 and 4.

To find out the L.C.M of given numbers,

First of all, find the prime factors of each numbers.

3 = 3 × 1

4 = 2 × 2 × 1

Take out the common prime factor i.e 1

Also take out the other remaining prime factors i.e 2 , 2 and 3

Now, multiply those all prime factors and obtain L.C.M

= 1 × 2 × 2 × 3 = 12

L.C.M of 3 and 4 = 12

\dashrightarrow{ \sf{ \frac{5 \times 4 + 7 \times 3}{12}}}

\dashrightarrow{ \sf{ \frac{20 + 21}{12}}}

Add the numbers : 20 and 21

\dashrightarrow{ \sf{ \frac{41}{12}}}

Convert the improper fraction into mixed fraction

\dashrightarrow{  \boxed{\sf{3 \frac{5}{12} }}}

Remember : While performing the addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus , obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator. But in case of improper fraction, it needs to be deduced on mixed fraction.

Hope I helped!

Best Regards!

~ TheAnimeGirl

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What are you trying to find? I’m completely lost
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