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Tema [17]
3 years ago
13

Factor this expression completely. 36y2 - 1

Mathematics
2 answers:
Gennadij [26K]3 years ago
7 0
36y^{2}-1= (6y-1)(6y+1)
shtirl [24]3 years ago
5 0

Answer:

(6y - 1)(6y + 1)

Step-by-step explanation:

To factorize completely, we may adopt the difference of 2 squares approach. The theory states that difference of two square  is the product of the difference of the number and the sum of the numbers.

Such that

a² - b² = (a - b) (a + b)

Hence 36y² - 1

= 6²y² - 1²

= (6y)² - 1²

= (6y - 1)(6y + 1)

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Given: LP=NP<br> ML=MN<br> Prove: LQ=QN
julsineya [31]

Answer:

The Proof is below.

Step-by-step explanation:

Given:

\overline {LP} \cong \overline{NP}

\overline {ML} \cong \overline{MN}

To Prove:

\overline {LQ} \cong \overline{QN}

Proof:

In  ΔLPM  and ΔNPM  

\overline {LP} \cong \overline{NP}  ……….{Given}

\overline {ML} \cong \overline{MN}  ……….{Given}

\overline {LP} \cong \overline{NP}  ……….{Reflexive Property}

ΔLPM ≅ ΔNPM      ….{ By Side-Side-Side congruence test}

∴ ∠LMP ≅ ∠NMP  ...{Corresponding parts of congruent triangles (c.p.c.t).}.....( 1 )

Now In ΔLMQ  and ΔNMQ  

\overline {ML} \cong \overline{MN}  ……….{Given}

∠LMQ ≅ ∠NMQ                                 ..........{From 1 above}

\overline {MQ} \cong \overline{MQ}  ……….{Reflexive Property}

ΔLMQ ≅ ΔNMQ         ....{ By Side-Angle-Side Congruence test}

∴ \overline {LQ} \cong \overline{QN} ...{Corresponding parts of congruent triangles (c.p.c.t).}.....Proved

4 0
3 years ago
4. Solve the following equation:<br> is<br> 2x + 10 =17
klasskru [66]
X=7/2 which is equal to 3.5
7 0
3 years ago
The bearing of a from b is 067 degrees. what is the bearing of b from a?
Zigmanuir [339]
In this case since 067 is less than 180, 180 will be added to it to find the bearing of b from a.
067+180=247
the bearing of b from a is 247
or 
subtract 067 from 360
360-067=293 
I am not sure of the right answer but I hope this helps.
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3 years ago
Math Sequence help!!
julia-pushkina [17]
Hello here is a solution :

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Find the area in square feet of the deck
Andreas93 [3]

Answer:

715 ft^2

Step-by-step explanation:

5 0
3 years ago
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