Sin theta = 8/17 and theta is in the second quadrant. Find sin(2theta),cos(2theta),tan(2theta) exactly sin(2theta) cos(2theta) tan(2theta) sin(2theta) would it be 2 x (8/17) cos(2theta) would be 2 x (15/17) tan(2theta) would be 2 x (8/17 divided by 15/17) is this correct?
Answer:
This is the answer I got
Step-by-step explanation:
JK / KL = MN / NP 6 / 4 = 18 / 12
Now u cross multiply. if both numbers are equal, they are similar. In this case, they are similar. 6 x 12 = 4 x 18
72 = 72
though the two corresponding sides of the triangles mentioned are proportional (proportionality being 1:3 ) but they need not be similar
for similarity either the third corresponding sides must be proportional or the included angle between the two proportional sides must be equal
Answer:
5
Step-by-step explanation:
First do substitution,
Which means |(4)-3|+4
Therefore 1+4=5
Question 1
The given system of equations is:

Equate the two equations:

Rewrite in standard form:




When we put x=0, in y=3x +6, we get:

One solution is (0,6)
When we put x=-2, into y=3x+6, we get:

Another solution is (-2,0)
The solutions are; (0,6) and (-2,0)
Question 2:
The function is

Let us put x=-x,

This gives:

We can observe that:

This is the property of an even function.
Question 3:
The given function is

The average rate of change of f(x) from x=a to x=b is given as:

This is the slope of the secant line connecting the two points on f(x)
From x=2 to x=6, the average rate of change

The average rate of change is 11
The term is used as means of asking students to write down equations using simple mathematical symbols (numerals, the four basic mathematical operators, equality symbol)[5]. Sometimes boxes or shapes are used to indicate unknown values. As such number sentences are used to introduce students to notions of structure and algebra prior to a more formal treatment of these concepts.
A number sentence without unknowns is equivalent to a logical proposition expressed using the notation of arithmetic.
[edit] Examples
A valid number sentence that is true: 3 + 7 = 10.
A valid number sentence that is false: 7 + 9 = 17.
A valid number sentence using a 'less than' symbol: 3 + 6 < 10.
An example from a lesson plan:
Some students will use a direct computational approach. They will carry out the addition 26 + 39 = 65, put 65 = 23 + □, and then find that □ = 42.[6] (wikipedia)
<span>I hope this is helpful!
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