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3 years ago

The dashed triangle is a dilation image of the solid triangle. What is the scale factor?

Mathematics

1 answer:

WARRIOR [948]3 years ago

3 0

Answer:

1/2

Step-by-step explanation:

Take any point from the original, like (2,2) If the new point is (1,1) then the change would be 1/2

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What is

disa [49]

<h3>Explanation:</h3>

There is a theorem :

$\mathbf{a^{2}-b^{2}=(a-b)(a+b)}$

Proof: open the brackets on right side of equality by using distributive property

RHS = a(a+b) - b(a+b)

RHS = $\mathrm{a^{2}+ab-ab-b^{2}}$

RHS = $\mathrm{a^{2}-b^{2}}$ = LHS

Using the above theorem you can solve every question you asked:

$\mathrm{4x^{2}-1=(2x)^{2}-1^{2}=(2x-1)(2x+1)}$
$\mathrm{9x^{2}-64=(3x)^{2}-(8)^{2}=(3x-8)(3x+8)}$

$\mathrm{49x^{2}-121=(7x)^{2}-(11)^{2}=(7x-11)(7x+11)}$

$\mathrm{4x^{2}-y^{2}=(2x)^{2}-y^{2}=(2x-y)(2x+y)}$

$\mathrm{9x^{2}-b^{2}=(3x)^{2}-b^{2}=(3x-b)(3x+b)}$

$\mathrm{16x^{2}-9b^{2}=(4x)^{2}-(3b)^{2}=(4x-3b)(4x+3b)}$

$\mathrm{x^{2}-42^{2}=(x-42)(x+42)}$

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4 years ago

On September 16, 2011, the New York Times reported that the American public's approval rating of Congress had sunk to an all-tim

777dan777 [17]

Answer:

The sample size is $n = 451$

Step-by-step explanation:

From the question we are told that

The margin of error is E = 0.03

The sample proportion is $\^ p = 0.12$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )$

=> $n = [\frac{1.96}{0.03} ]^2 *0.12 (1 - 0.12 )$

=> $n = 451$

3 0

3 years ago

Find the arc length of the bolder arc<br> A) 283.5 mi<br> C) 733.0 mi<br> B) 10.2 mi<br> D) 73.3 mi

statuscvo [17]

Answer:

d its d :)

Step-by-step explanation:

i already did that

7 0

3 years ago

There are 38 tables at the fifth grade picnic at a local park. There will be 182 students attending the picnic. The parents were

dmitriy555 [2]

Answer:

274 parents

Step-by-step explanation:

38 tables times 12 per table

38*12=456

456-182=274

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3 years ago

What is the additive inverse of 1/3

VLD [36.1K]

Answer:

The additive inverse of 1/3 is -1/3

Step-by-step explanation:

Since, 1/3+(-1/3) = 0

6 0

3 years ago

The dashed triangle is a dilation image of the solid triangle. What is the scale factor?​

The dashed triangle is a dilation image of the solid triangle. What is the scale factor?