What figure is a dilation of Figure A by a factor of 12? A quadrilateral labeled figure A. The sides are labeled 2 inches, 4 inches, 1 inch, and 5 inches, clockwise about the figure.

Note that the images are not necessarily drawn to scale.

A quadrilateral. The sides are labeled 1 inch, 2 inches, 0.5 inch, and 2.5 inches, clockwise about the figure.

A quadrilateral. The sides are labeled 1 inch, 3 inches, 0.5 inch, and 4 inches, clockwise about the figure.

A quadrilateral. The sides are labeled 4 inches, 8 inches, 2 inches, and 10 inches, clockwise about the figure.

A quadrilateral. The sides are labeled 3 inches, 5 inches, 2 inches, and 6 inches, clockwise about the figure.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

you could deduce the conclusion directly using the facts pertaining to the specific situation.

hope this .

slope= 1

y-inter slope= 0

x       y

o     0

1       1

2     2

ect.

step-by-step explanation: