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victus00 [196]
3 years ago
6

Which graph represents an function

Mathematics
1 answer:
nydimaria [60]3 years ago
6 0
We kind of need to see the graphs to decide.
but the function is any graph that is completely straight and goes through the center (0,0)
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Find all solutions to the equation (sinx-cosx)^2=1
svetoff [14.1K]

Answer:

x=\dfrac{\pi k}{2},\ k\in Z.

Step-by-step explanation:

Simplify the equation (\sin x-\cos x)^2=1:

\sin^2 x-2\sin x\cos x+\cos ^2x=1,\\ \\ (\sin^2x+\cos^2x)-2\sin x\cos x=1.\\

Since

\sin^2 x+\cos^2 x=1

and

2\sin x\cos x=\sin 2x,

we have

1-\sin 2x=1,\\ \\\sin 2x=0,\\ \\2x=\pi k,\ k\in Z,\\ \\x=\dfrac{\pi k}{2},\ k\in Z.

8 0
4 years ago
Read 2 more answers
Two quantities, x and y, are directly proportional. If x is halved, what happens to y?
Contact [7]
Y should also be halved.

For example, if x=4 and y=2, x=2y.
If x is halved for x=2, you get 2=2y, or y=1, which is still one half of x, so the proportion remains the same.
5 0
3 years ago
Read 2 more answers
Can 24 7ths be equal to another fraction or be simplified in another way
Jobisdone [24]
To check if an improper fraction like like 24/7 can still be simplified, you have to find similar factors that can divide both the numerator (24) and the denominator (7). However in this case, there are no longer any common factors that can divide both of them. However, improper fractions can be represented in a mixed fraction form. 

A mixed fraction is made up of a whole number and a fraction. To change an improper fraction to a mixed fraction, divide the numerator by the denominator. The quotient should be a whole number and a remainder. The whole number in the quotient would be the whole number in the mixed fraction, and the remainder would be the numerator.

In the case of 24/7, dividing it would yield us 3 remainder 3. Therefore, the mixed fraction would be:

3 3/7
8 0
3 years ago
A puppy weighed 27 lb. His weight increased by 233% by the time he was 1 year old.
Ne4ueva [31]
1. you multiple 27 by 2.33 (which is the percent in the decimal form) 
2. you add 27 to (27x2.33)
3. You should get about 89.91 pounds 
4 0
3 years ago
Choose all of the expressions that are equal to 61. |−61| the opposite of −61 the opposite of 61 the distance from zero to −61 −
igomit [66]

Step-by-step explanation:

We need to choose all the expressions that are equal to 61.

(i) |−61| : It is true. Modulus of any negative number gives positive number. |-61|=61.

(ii) The opposite of −61 ; It is true. Opposite of negative is positive.

(iii) The opposite of 61 : It is false. The opposite of 61 gives -61.

(iv) distance from zero to −61 : It is true. Distance is positive always.

(v) −|61| : False. It remains negative.

(vi) −|−61| : False. It remains negative.

(vii) -(-61) : True. Double negative makes positive .

Hence, the correct options are : (i), (ii), (iv), (vii).

8 0
3 years ago
Read 2 more answers
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