Answer:
(x+3)(x+2)
Step-by-step explanation:
I can't explain it well, but I call it "reverse foil."
Answer:
x = 48°
Step-by-step explanation:
In the given triangle XYZ,
Sides XY and XZ are congruent.
Therefore, both the sides will be equal in measure.
By the definition of isosceles triangle,
"Opposite angles of the equal sides are equal in measure"
m∠Y = m∠Z = x°
m∠X = 84° [Given]
By the triangle sum theorem,
m∠X + m∠Y + m∠Z = 180°
84° + x° + x° = 180°
2x = 180 - 84
x = 48°
Therefore, measure of x = 48° will be the answer.
Answer:
The frequency = 5/2π
Step-by-step explanation:
* Lets revise some facts about the trigonometry function
- If the function is f(x) = A sin (B x + C) + D
* A is the amplitude
- The amplitude is the height from highest to lowest points and
divide the answer by 2
* The period is 2π/B
- The period is the distance from one peak to the next peak
- Period and Frequency are related where frequency = 1/period
* C is the horizontal shift
- The horizontal shift is how far the function is shifted to left
(C is positive) or to right (C is negative) from the original position.
* D is the vertical shift
- The vertical shift is how far the function is shifted vertically up
(D is positive) or down (D is negative) from the original position.
* Lets solve the problem
∵ f(x) = 3 cos (5x) + 2
∵ f(x) = A sin (B x + C) + D
∴ A = 3 , B = 5 , C = 0 , D = 2
∵ The period = 2π/B
∴ The period = 2π/5
∵ The frequency = 1/period
∴ The frequency = 1/(2π/5) ⇒ multiply up and down by 5
∴ The frequency = 5/2π
Answer:
B- 7/12 and 17/18
Step-by-step explanation:
Get the fractions under a common denominator.
- A: 1/3=6/18. 5/6=15/18. 4/9=8/18.
- B: 7/12=21/36. 5/6=25/36. 17/18=34.
- C: 11/12=33/36. 5/6=25/36. 31/36=31/36.
- D: 1/4=6/24. 5/6=20/24. 5/8=15/24.
Out of A, B, C, and D– only B works.
