F(h(x)) means wherever you see x in the f(x) function you're gonna plug in the h(x) function:
f(h(x)) = (2x + 3) - 7
= 2x + 3 - 7
= 2x - 4
Answer:
Step-by-step explanation:
6/14 = -9/21 = -12/28 = -15/35 = -18/42 = -21/49 = -24/56 = -27/63 = -30/70 = -33/77 = -36/84 = -39/91 = -42/98 = -45/105 = -48/112
Answer:
The area of the triangle is 10.92 cm².
Step-by-step explanation:
The formula for the area of a triangle is
where b is the length of the base and h is the height. We know that b = 2.8 and h = 7.8, so you would substitute into the formula:
cm²
Answer:
Step-by-step explanation:
Let , we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:
(1)
(2)
Now we perform the operations:
(3)
By the quadratic formula, we find the following solutions:
and
Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:
By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:
Then, the values of the cosine associated with that angle is:
Now, we have that , we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:
(4)
(5)
If we know that and , then the value of the function is:
Answer:
57
Step-by-step explanation: