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3 years ago

Which shows 542 − 462 being evaluated using the difference of squares method?

2 answers:

tatiyna3 years ago

8 0

The difference of squares method:
a² - b² = (a-b ) (a+b)
54² - 46² = (54+46) · ( 54 + 46 )= 100 · 8 = 800
Answer: B)

Andrei [34K]3 years ago

3 0

Answer: $54^2-46^2=(54+46)(54-46)$

$=(100)(8)=800$

Step-by-step explanation:

The method finding difference of squares is given by :-

$a^2-b^2=(a+b)(a-b)$

Replace a=54 and b=46, then we get the evaluation of $54^2-46^2$ by using the difference of squares method as :

$54^2-46^2=(54+46)(54-46)$

$=(100)(8)=800$

Hence, the second option is the correct option.

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what is the image of the point ( -4, 8) after a rotation of 90° counterclockwise about the origin

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Answer:(-8,-4)

Step-by-step explanation:

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2 years ago

The decimal d is formed by writing in succession all the positive integers in increasing order after the decimal point; that is,

Maksim231197 [3]

Answer:

Step-by-step explanation:

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d=0.12345678...

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Place of first digit 1 after decimal=Tenth

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3 years ago

A figure has been dilated from the origin by a scale factor of

Darya [45]

Answer:

See Explanation

Step-by-step explanation:

The question has missing details. So, I'll solve using a general assumption.

Let one of the coordinates of the figure be

$A = (x,y)$

Let the scale factor be n

When dilated, the new figure is:

$A' = n * A$

$A' = n * (x,y)$

To return the image back to the original figure, the new scale factor mus be a reciprocal of the previous scale factor i.e. $\frac{1}{n}$

So:

$A = A' * \frac{1}{n}$

Substitute n(x,y) for A';

$A = n(x,y) * \frac{1}{n}$

$A = \frac{n(x,y)}{n}$

$A = (x,y)$

Take for instance:

$A = (2,3)$

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$A' = n * A$

$A' = 2 * (2,3)$

$A' = (4,6)$

To get A from A', using the analysis above

$A = \frac{1}{2} * (4,6)$

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2 years ago

Write the equation of the line that is perpendicular to 3x+2y=8 and goes through the point (-5,2)

kifflom [539]

Answer:

$\displaystyle y=\frac{2}{3}(x+5)+2$

Step-by-step explanation:

We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).

The given line can be expressed as:

$\displaystyle y=-\frac{3}{2}x+4$

We can see the slope of this line is m1=-3/2.

The slopes of two perpendicular lines, say m1 and m2, meet the condition:

$m_1.m_2=-1$

Solving for m2:

$\displaystyle m_2=-\frac{1}{m_1}$

$\displaystyle m_2=-\frac{1}{-\frac{3}{2}}$

$\displaystyle m_2=\frac{2}{3}$

Now we know the slope of the new line, we use the slope-point form of the line:

$y=m(x-h)+k$

Where m is the slope and (h,k) is the point. Using the provided point (-5,2):

$\boxed{\displaystyle y=\frac{2}{3}(x+5)+2}$

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago