Solve the problem –16 – 8 + 11 – 5 = ? A. –40 B. –18 C. 18 D. –2
1 answer:
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Given:
The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).
To show:
That the triangle ABC is a right angled triangle.
Solution:
Distance formula:
The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).
Using the distance formula, we get
Similarly,
And,
Now, add the square of two smaller sides.
Since the sum of the square of two smaller sides is equal to the square of the largest side, therefore the given triangle is a right angle triangle by using Pythagoras theorem.
Hence proved.
Answer:
B.
Step-by-step explanation:
We are given that,
The frequency of the function is
The maximum and minimum value is 12 and -6.
Also, the y-intercept is 3.
From the options, we have,
Options C and D have minimum value 6. So, they does not represent the given function.
We know, 'If a function has a period P, then the function will have the period
.
Also, 'The frequency is the reciprocal of the period'.
So, function will have the frequency
.
From the options, we see,
Option B have the frequency, i.e.
.
Option A have the frequency, i.e. 3
Thus, option A is not correct.
Hence, option B is the required sinusoidal function.