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ira [324]
2 years ago
10

Describe the transformation of f(x) = cos x to g(x) = cos(x - pie/4).​

Mathematics
1 answer:
spin [16.1K]2 years ago
7 0

Answer:

The Answer is C.

Step-by-step explanation:

f(x) = cos x , g(x) = cos(x - π/4)

Equation: f(x) = a * cos (x - h) + k

Since the equation only has h = π/4, it means that it shift right.

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The point M(-6, -4) is translated 2 units right. What are the coordinates of the resulting point, M′?
fredd [130]
B) (-4, -4)

When moving to the right you are moving to a more POSITIVE region on the x-axis; meaning, the y-value (vertical axis) does not get affected unless you’re moving up or down.

Remember: (-6, -4)
X = -6
Y = -4

If you move 2 units to the right (x-axis) you go from -6 + 2 which equals -4. And again, you’re not moving up and down so your
y-value stays the same and your new coordinates are (-4, -4)
7 0
3 years ago
Joan’s uncle has promised her $20,000 when she graduates college 4 years from now. What is the equivalent amount stated in today
MaRussiya [10]

Answer:

2:10

Step-by-step explanation:

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8 0
3 years ago
An object falls 9 m in the first second, another 27 m in the second second, and then 108 m more in the third second. If this pat
aev [14]

Answer: B) 684m

Step-by-step explanation:

From 9 to 27 is a 3 times increase, from 27 to 108 is a 4 times increase. So following the pattern, we can determine that it will increase 5 times, and fall another 540m in second 4. Then, we simply add all the numbers together to get the answer!

4 0
3 years ago
The formula n(n+1)/2
mafiozo [28]
The answer is in the attached image

5 0
3 years ago
Given: Circle k(O) Diameter <br><br>XY tangent WZ, XY = 10, and WZ = 12 .Find: YZ
PtichkaEL [24]

Answer:

<h2>Side YZ is 8 units long.</h2>

Step-by-step explanation:

We can deduct form the graph that segment WO is a radius of the circle and XY is its diameters.

By given, we know that XY = 10, which means WO=\frac{XY}{2}=\frac{10}{2}=5, by radius definition.

An important characteristic of tangents about circles is that the tangent is always is perpendicular to the radius, that means \angle OWZ = 90\°\\ and \triangle OWZ is a right triangle, that means we can use Pythagorean's Theorem to find the side YZ.

OZ^{2} =WZ^{2}+OW^{2}

Where OZ is the hypothenuse and WZ , OW are legs of the triangle.

Replacing all given values, we have

OZ^{2}=12^{2}+5^{2}\\OZ=\sqrt{144+25}=\sqrt{169}\\  OZ=13

However, by sum of segments, we have

OZ=OY+YZ, where OY=OW=5 and OZ=13

13=5+YZ\\YZ=13-5\\YZ=8

Therefore, side YZ is 8 units long.

3 0
3 years ago
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