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2 years ago

( 97 )^2 evaluate of the following by using identities

Mathematics

2 answers:

Neko [114]2 years ago

8 0

Answer:

9409

Step-by-step explanation:

Let's rewrite 97 as 100 - 3.

Identity used :

Now, evaluating the expression :

⇒ (100 - 3)²

⇒ (100)² - 2(100)(3) + (3)²

⇒ 10000 - 600 + 9

⇒ 9400 + 9

⇒ 9409

morpeh [17]2 years ago

3 0

<h2>Evaluate</h2>

( 97 )^2 evaluate of the following by using identities.

Evaluate Solution:

= 100 - 3² close parenthises.
= (100)² - 2 (100)(3) + (3)²
= 10,000 - 600 + 9
= 10,000 - 600
= 9400
= 9400 + 9
= 9409

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14. Solve the following equations.<br> (a), 7x + 8 = 10 + 3x

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<u>explanation</u>

subtract 3x from both sides

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3 years ago

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3 years ago

I need help, can someone tell me the answer to 13x + 3 - 7x - 1? Please and thank you.

Yuki888 [10]

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Step-by-step explanation:

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3 years ago

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Solve the simultaneous equations by substitution x − y = 8, x + 4y = 13

Evgesh-ka [11]

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Step-by-step explanation:

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2 years ago

Given: △ACM, m∠C=90°, CP ⊥ AM

larisa86 [58]

Answer: The answer is $3\dfrac{4}{7}.$

Step-by-step explanation: Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

$AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.$

Now,

$AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)$

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

$CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)$

Comparing equations (A) and (B), we have

$5x-1=7x^2-1\\\\\Rightarrow 5x=7x^2\\\\\Rightarrow x=\dfrac{5}{7},~\textup{since }x\neq 0.$

Thus,

$AM=5\times\dfrac{5}{7}=\dfrac{25}{7}=3\dfrac{4}{7}.$

8 0

4 years ago

( 97 )^2 evaluate of the following by using identities​

( 97 )^2 evaluate of the following by using identities