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3 years ago

1. Shoe B was created by rotating Shoe A counterclockwise about a fixed point. How many degrees was the shoe rotated?

Mathematics

1 answer:

notsponge [240]3 years ago

5 0

Answer:

90°

Step-by-step explanation:

Rotation counterclockwise means the rotating an object over a fixed point in the opposite direction of our normal wall clock.

To get exact position of shoe B, shoe A would be rotated in about 90° in the opposite direction of a clock.

Thus, shoe A was rotated 90° about a fixed point to create shoe B.

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Function f, shown below, is translated down 3 units and left 4 units to create function g.

pantera1 [17]

Answer: G(x) = 3|x + 2| - 8

Step-by-step explanation:

"a" represents the vertical stretch (or shrink)

"h" represents the x-coordinate of the vertex

x-axis goes left and right

"k" represents the y-coordinate of the vertex

y-axis goes up and down

F(x) = 3|x - 2| - 5

G(x) = 3(x - 2 + 4| - 5 - 3

= 3|x + 2| - 8

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3 years ago

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Use the confidence interval to find the margin of error and the sample mean (0.118,0.220)

malfutka [58]

Answer:

μ = 0.169

ME = 0.051

Step-by-step explanation:

The confidence interval is:

CI = μ ± ME

So the mean is the middle of the confidence interval, and the margin of error is half the difference.

μ = (0.118 + 0.220) / 2 = 0.169

ME = (0.220 − 0.118) / 2 = 0.051

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3 years ago

Function that has Domain: x≠-1 Range: y≠2

Degger [83]

I don't understand your question.

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3 years ago

The solution to 3x2 – 12x 24 = 0 is

zzz [600]

$3x^2 - 12x + 24 = 0 \\ x^2 - 4x + 8 = 0 \\ x= \frac{-b \pm \sqrt{ b^{2} -4ac} }{2a} 
$ ; where a = 1, b = -4 and c = 8
$x= \frac{-(-4) \pm \sqrt{ (-4)^{2} -4 \times 1 \times 8} }{2 \times 1} \\ = \frac{4 \pm \sqrt{ 16 -32} }{2} \\ =\frac{4 \pm \sqrt{ -16} }{2} \\ =\frac{4 \pm 4i }{2} \\ =2+2i \ or \ 2-2i$

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3 years ago

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4. Small Town USA has a population of 3 x 102, Big Town has a population of 6 x 105,

zvonat [6]

Answer:

2.06

Step-by-step explanation:

3x102=306

6×105=630

630 ÷ 306 = 2.0588235294

round it to 2.06

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2 years ago