All categories

3 years ago

Octagon ABCDEFGH and its dilation, octagon A'B'C'D'E'F'G'H', are shown on the coordinate plane below:

Mathematics

1 answer:

Vaselesa [24]3 years ago

6 0

Answer:

2) 2

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Dilation is the enlargement or reduction of the size of an object. If a figure with point A(x, y) is dilated by a scale factor of k about the center of the origin, the new point would be at (kx, ky). If k < 1 it is a reduction and if k > 1 it is an enlargement.

The octagon ABCDEFGH has vertices at A(3, 1), B(3, -1), C(1, -3), D(1, -3), E(-3, -1), F(-3, 1), G(-1,3) and H(1, 3)

Octagon ABCDEFGH is then dilated about the origin to form octagon A'B'C'D'E'F'G'H' with vertices at A'(6, 2), B'(6, -2), C'(2, -6), D'(2, -6), E'(-6, -2), F'(-6, 2), G'(-2,6) and H'(2, 6)

A = (3, 1) and A' = (6, 2) = [2(3), 2(1)]

Therefore octagon ABCDEFGH was dilated by a scale factor of 2 to form octagon A'B'C'D'E'F'G'H'

You might be interested in

A circle has radius 50 cm. Which of these is closest to its area?

juin [17]

Answer:

7,854cm^2

Step-by-step explanation:

π50²=2500π

2500π=7853.98

6 0

3 years ago

kamari opens a bank account with 250 five weeks her account balances 800 what was the average rate of change of her account bala

Anettt [7]

The answer is an average rate of change of 110 more dollars in her account per week. You find this by first subtracting the starting amount of 250 from the end amount of 800 that equals 550. then you divide that number by five, the number of weeks, to get the average rate of change.

3 0

4 years ago

On the last day of the fiscal year, a co-worker asks you to cut a check for $2,000 as a miscellaneous expense for supplies in or

S_A_V [24]

Answer:

A. No, Should not in any way write the check today and neither record the expense or even write the check tomorrow.

B. The company will be affected if the check

was cut today and the expense was not recorded, which means that the net income of the current fiscal year will be increased by the amount of $2,000 while the net income of the next year will be reduced by the amount of $2,000 and this tend to happens due to some error.

Step-by-step explanation:

A. Based on accounting principle every debit entry must have a corresponding credit entry which means that in a situation where a check is been cut today for miscellaneous expense and for supplies the Miscellaneous expense account should be debited while the bank account should as well be credited based on the double entry principle because if not so the current year net income will wrongly shows and be higher with the amount of $2,000.

B. In a situation where the check was cut today and expense was recorded the following day or tomorrow it means that the current year financial statement net income will be increased by the amount of $2,000 while the amount shown in the balance sheet will decreased by the amount of $2,000.

Therefore I can issue a check today and as well record the expense the same day in which the check was issued.

4 0

4 years ago

A gardener combines x fluid ounces of 20% liquid fertilizer and 80% water mix with y fluid ounces of 5% liquid fertilizer and 95

ELEN [110]

X = 10 fluid ounces
y = 20 fluid ounces

5 0

3 years ago

a rectangle has an area of x2+8x+15 square meters and a width of x+3 what expression represents the length of the rectangle

anzhelika [568]

Answer:

1x + 5

Step-by-step explanation:

Since the area of a rectangle of width w and length l is A = l*w,

length = Area / Width.

Here, x^2 + 8x + 15

length of rectangle = ----------------------

x + 3

Use synthetic division to perform the above. The coefficients of the quadratic are a = 1, b = 8 and c = 15, and the divisor is -3 (from (x + 3).

-3 / 1 8 15

-3 -15

-------------------------

1 5 0

Since the remainer is zero (0), -3 is a root and 1x + 5 is a factor of the quadratic. This factor, representing the length of the rectangle, is 1x + 5.

Next time, kindly share the answer choices. Thank you.

6 0

3 years ago