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2 years ago

Relative to the graph of y=3sinx what is the shift of the graph of y=3sin(x+pi/3)

1 answer:

4 0

The shifts of the sinus function can be described with the formula:
asin(bx−c)+d, where
a is the amplitude
b is the period
c is the phase shift
d is the vertical shift
So, the graph y=3sinx is phase shifted. The phase shift can be calculated as c/b= pi/3/1=pi/3
So, the function is phase shifted for pi/3.

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Which shows two triangles that are congruent by ASA

Ksenya-84 [330]

The four options are attached below

Answer:
Second attachment is the correct choice

Explanation:
ASA (angle-side-angle) means that two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

Now, let's check the choices:
First attachment:
It shows that two sides and the included angle between them in the first triangle is congruent to the corresponding two sides and the included angle between them in the second one. This is congruency by SAS. Therefore, this option is incorrect

Second attachment:
It shows that two angles and the included side between them in the first triangle is congruent to the corresponding two sides and the included angle between them in the second triangle. This is congruency by ASA. Therefore, this option is correct

Third attachment:
It shows that the three angles in the first triangle are congruent to the corresponding three angles in the second one. This is not enough to prove congruency. Therefore, this option is incorrect

Fourth attachment:
It shows that the three sides in the first triangle are congruent to the corresponding three sides in the second one. This is congruency by SSS. Therefore, this option is incorrect.

Based on the above, the second attachment is the only correct one

Hope this helps :)

7 0

2 years ago

Read 2 more answers

Joshua started cycling at 5:15 pm By 8:09 pm, he has covered a distance of 7250 mWhat was Joshua's average speed during that tim

vivado [14]

The average speed of Joshua during that time is 2500 m/h.

Explanation:

It is given that Joshua started cycling at 5:15 pm. By 8:09 pm he has covered a distance of 7250 m.

The total time taken by Joshua from 5:15 pm to 8:09 pm is

$2 { h } 54 \text { min }=2 \mathrm{h}+\frac{54}{60} {h}$

Dividing we get,

$2 { h } 54 \text { min }=2 \mathrm{h}+0.9 {h}$

Adding, we have,

$2 { h } 54 \text { min }=2.9 {h}$

Thus, the total time taken by Joshua is $2.9 {h}$

To determine the average speed we use the formula,

$speed=\frac{distance}{time}$

where $distance=7250$ and $time=2.9$

Hence, substituting the values we have,

$speed=\frac{7250}{2.9}$

Dividing, we get,

$speed=2500$

Thus, the average speed of Joshua during that time is 2500 m/h.

5 0

2 years ago

Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2?

katovenus [111]

G(x)=8(x2-6x)-5 its positive and it goes down.

5 0

2 years ago

Read 2 more answers

Solving radical equations How to solve radical equations

Dafna1 [17]

Simplify radical expressions. If we combine these two things then we get the product property of radicals and the quotient property of radicals. These two properties tell us that the square root of a product equals the product of the square roots of the factors. no radicals appear in the denominator of a fraction.

8 0

2 years ago

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Kelly and Greta are asked to write an equation for the scenario below. “One person was able to plant 4 trees in the same amount

Oduvanchick [21]

Answer: Greta is correct.

Explanation:

Greta is correct sine you can substitute different number of people for each of the values of and y and check that each person will still plant 4 trees.

For example:

4x = 4(1) = 4 trees; and

4 x 5 = 20

but you should follow a certain pattern to increase the value of x, such that every foe every value of x, one person is able to plant 4 trees.

8 0

2 years ago

Read 2 more answers