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3 years ago

Use factoring to write an expression that is equivalent to 25b^16-64c^2

1 answer:

4 0

We can write this as the difference of squares:
(5b⁸+8c)(5b⁸-8c)

To write as the difference of squares, take the square root of each term first:
√25b¹⁶ = 5b⁸; √64c² = 8c

Now we write this as a sum in one binomial and a difference in the other:
(5b⁸+8c)(5b⁸-8c)

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Help me so I don’t fail

ICE Princess25 [194]

Answer:

It is going to be 50/60 or 5:6

Step-by-step explanation:

You get 5/6 by dividing the fraction 50/60 by 10.

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3 years ago

Find the total cost to the nearest cent. (Examples

Hunter-Best [27]

Answer:

$58x.20=11.6

$58.00+11.60= $69.60

Step-by-step explanation:

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3 years ago

Write each ratio in simplest form.1.1.4/7

horsena [70]

1.4 / 7

multiply by 10 in both up and down
(1.4*10) / (7*10)
14 / 70

divide by 7
(14/7) / (70/7)
2 / 10

divide by 2
(2/2) / (10/2)
1 / 5

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3 years ago

Point M (-3, 5) is translated using this rule. (x, y) ----> (x - 1, y) What are the coordinates of M'?

Nuetrik [128]

Answer:

The coordinates of point M' are $M'(x,y) = (-4, 5)$ .

Step-by-step explanation:

According to the statement, we have the following translation rule:

$M'(x,y) = M(x,y) + (-1, 0)$ (1)

Where:

$M(x,y)$ - Original point.

$M'(x,y)$ - Translated point.

$(-1, 0)$ - Translation vector.

If we know that $M(x,y) = (-3, 5)$ , then the coordinates of the point M' are:

$M'(x,y) = (-3,5) + (-1,0)$

$M'(x,y) = (-4, 5)$

The coordinates of point M' are $M'(x,y) = (-4, 5)$ .

5 0

3 years ago

polygon ABCD is defined by the points A(-4,2), B(-2,4), C(1,3), and D(2,2). match the coordinates of the points you f the transf

Tomtit [17]

Answer:

D' ..................> (-2,2)

C'' .................> (3,-1)

A''' ................> (4,-2)

B'' .................> (4,2)

Step-by-step explanation:

Before we begin, we should remember the rotation rules:

1- Rotation 90° clockwise:

Coordinates (x,y) become (y,-x)

2- Rotation 90° counter clockwise:

Coordinates (x,y) become (-y,x)

3- Rotation 180° clockwise:

Coordinates (x,y) become (-x,-y)

4- Rotation 270° counter clockwise:

Coordinates (x,y) become (y,-x) ...........> same as rotation 90° clockwise

Now, let's consider the given problem:

1- Coordinates of D' if polygon ABCD rotates 90° counter clockwise to create A'B'C'D'

Original coordinates of point D are (2,2)

Rotation 90° counter clockwise means that the new coordinates will be (-y,x) which is (-2,2)

2- Coordinates of C'' if polygon ABCD rotates 90° clockwise to create A''B''C''D''

Original coordinates of point C are (1,3)

Rotation 90° clockwise means that the new coordinates will be (y,x) which is (3,-1)

3- Coordinates of A''' if polygon ABCD rotates 180° clockwise to create A'''B'''C'''D'''

Original coordinates of point A are (-4,2)

Rotation 180° clockwise means that the new coordinates will be (-x,-y) which is (4,-2)

4- Coordinates of B'' if polygon ABCD rotates 270° counter clockwise to create A''B''C''D''

Original coordinates of point B are (-2,4)

Rotation 270° counter clockwise means that the new coordinates will be (y,-x) which is (4,2)

Hope this helps :)

5 0

3 years ago