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3 years ago

1) Give 5 examples of a difference of two perfect squares

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

8 0

ᴀɴsᴡᴇʀ:

1.Example, x²-25 can be factored as (x+5)(x-5).

2.This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

3.When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5).

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Write a linear function f with f(0)=7 and f(3)=1.

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a = ( 0 , 7 ) & b = ( 3 , 1 )

First need to find the slope using the following equation :

$slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\$

$slope = \frac{1 - 7}{3 - 0} \\$

$slope = \frac{ - 6}{3} \\$

$slope = - 2$

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We have following equation to find the point-slope form of the linear functions using the slope and one of the through points .

$y - y(0) = m \times ( \: x - x(0) \: )$

$x(0) = x - coordinate \: \: of \: \: through \: \: point \\$

$y(0) = y - coordinate \: \: of \: \: through \: \: point \\$

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I choose point (( a )) to put in the equation.

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$y - 7 = - 2x + 0$

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Add sides 7

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This the slope-intercept form .

Done...

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3 years ago

(Score for Question 2: ___ of 5 points)

GuDViN [60]

Answer:

Since you don't show your triangles, I'm guessing it is this one...?

△DWP D = (-2, 4), W = (-1, 2), P = (3, 3)

△MJS M = (-4, -4), J = (-2, -3), S = (-3, 1)

There are 2 steps:

1. 90° counterclockwise rotation about the origin

2. Translation downward 2 units

Step-by-step explanation:

1. 90° counterclockwise rotation about the origin = (x, y) to (-y, x),

D moves from (-2, 4) to (-4, -2)

W moves from (-1, 2) to (-2, -1)

P moves from (3, 3) to (-3, 3)

2. Translation downward 2 units = (x, y) to (x, y-2),

D moves from (-4, -2) to (-4, -4) = M

W moves from (-2, -1) to (-2, -3) = J

P moves from (-3, 3) to (-3, 1) = S

Therefore △DWP IS congruent to △MJS.

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3 years ago

Factor each expression. (9) 5a - 25 (10) 28 - 7x (11) 12z + 28 - 7z - 3

Nimfa-mama [501]

Answer:

Step-by-step explanation:

Look for the GCF and then divide every term by the GCF to see what remains

(9) 5a - 25 ( GCF is 5 so take out 5 and divide every term by 5)

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(10) 28 - 7x ( GCF is 7 so take out 7 and divide every term by 7)

7(4-x)

(11) 12z + 28 - 7z - 3= (combine terms) =

5x+25( GCF is 5 so take out 5 and divide every term by 5)

5(x+5)

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3 years ago