Answer:
Step-by-step explanation:
6) taking 45 degrees as the reference angle,
the adjacent side is √6
The opposite side is x
The hypotenuse is y
Therefore, we would apply trigonometric ratio.
Tan # = opposite side / adjacent side
Tan 45 = x/√6
1 = x/√6
x = 1 × √6 = √6
Cos # = adjacent side/hypotenuse
Cos 45 = √6/y
Cos 45 expressed in surd form is √2/2. Therefore,
√2/2 = √6/y
y √2 = 2√6
y = (2√6)/√2
Answer:
D
Step-by-step explanation:
The unmarked angle of the triangle is also 40o. The triangle is marked with two equal sides (isosceles).
<2 + 40 + 40 = 180 Combine the left
<2 + 80 = 180 Subtract 80 from both sides
<2 = 180 - 80
<2 = 100 degrees.
That's not the answer. We have to solve for x
<2 = x + 106
100 = x + 106 Subtract 106 from both sides
100 - 106 = x
x = - 6
Answer:
(0, -3) and (2, 1)
Step-by-step explanation:
There are 5 points marked on the graph: (±2, 1), (±1, -2) and (0, -3). These are solutions to the equation describing the function:
... y = x² - 3
Apparently, you are being asked to report the coordinates of any two of these points.
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<em>Comment on the problem</em>
The wording "solutions to the function" is a bit odd. An equation has solutions—values of the variables that make it be true. A function is a relationship between values, a definition. There is nothing to solve.
In the above we have assumed the intent is to find (x, y) pairs that match the function definition. Sometimes, we're interested in values of x that make y be zero. (x, y) = (±√3, 0) It isn't obvious what the intent of this question is.
Answer:
Step-by-step explanation:
x² + 9x+8 = (x+1)(x+8)
Answer:
No solution
Step-by-step explanation:
4x + 2(2x - 3) = 8(x - 1)
4x + 4x - 6 = 8x - 8
8x - 6 = 8x - 8
0 = -2
There is no value of x makes the equation true.
