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blagie [28]
3 years ago
9

Determine 2 coterminal angles in radians for 7pi/2

Mathematics
1 answer:
bija089 [108]3 years ago
8 0
Check the picture below.

notice, that one go-around is 2π, or namely 4π/2, and if we go 3π/2 more over, we'd end up at at 4π/2 + 3π/2 or 7π/2.

a couple of coterminal angles will be those in blue, one angle in the first go-around, and another one by simply going around one more time by 4π/2 extra, 7π/2 + 4π/2 is just that one there.

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Distance and slope for (1,4) & (2,2)
sammy [17]

Answer:

Distance (rounded to the nearest hundredth): 2.23

Slope: -2

Step-by-step explanation:

4 0
2 years ago
f(x)=x^2; vertical shrink by a factor of 1/2 and a reflection in the y-axis, followed by a translation 1 unit down​
NeX [460]

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down​

is g(x) = \frac{1}{2} x² - 1

Step-by-step explanation:

Lets revise:

1. The vertical shrink

A vertical shrinking is the squeezing of the graph toward the x-axis.

if 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically

shrunk by multiplying each of its y-coordinates by k

2. The reflection

If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

3. Vertical translation

If the function f(x) translated vertically up  by m units, then its image

is g(x) = f(x) + m

If the function f(x) translated vertically down  by m units, then its image

is g(x) = f(x) - m

Now let us solve the problem

∵ f(x) = x²

∵ f(x) shrunk by a factor of \frac{1}{2}

∴ The image of f(x) = \frac{1}{2} x²

∵ The image of f(x) reflected across y-axis

∴ The sign of x will change

∴ The new image of f(x) = \frac{1}{2} (-x)²

∵ The new image of f(x) translated 1 unit down

∴ We will subtract the new image of f(x) by 1

∴ The last image of f(x) is g(x) = \frac{1}{2} (-x)² - 1

<em>V.I.Note:</em>

(-x)² = x² because even exponents reject the negative sign

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down​

is g(x) = \frac{1}{2} x² - 1

The attached graph for more understand

Learn more:

you can learn more about transformation in brainly.com/question/2415963

#LearnwithBrainly

4 0
3 years ago
Two things: first, who invented the calculator? Second, just wanted to let everyone know that I'm online. Can help with a wide v
denis23 [38]
Blaise Pascal invented the calculator
4 0
3 years ago
Read 2 more answers
Help! what is the right answer?​
egoroff_w [7]

Answer:

B

Step-by-step explanation:

3 0
2 years ago
FEDY is a parallelogram. What is the measure of angle F?
MArishka [77]

Answer:

65 degrees

Step-by-step explanation:

Break the parallelogram up into two triangles. Angle E is 70 degrees and 45 degrees because of the property of equal opposite angles. So E 45 degrees Y 70 degrees and if you add the two up you get 115 degrees. There are 180 degrees in a triangle, so 180-115=65.

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2 years ago
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