Answer:
y = 0
Step-by-step explanation:
The given sinusoidal equation is
The general form of the sin function is presented as follows;
y = A·sin(B·(x - C)) + D
Where;
A = The amplitude
The period, T = 2·π/B
The frequency, f = B/2·π
C = The horizontal shift
D = The vertical shift
By comparison with the given sine function, we have;
The amplitude, A = 2
The frequency, f = B/2·π = π/2/(2·π) = 1/4
The frequency, f = 1/4 Hz
C = The horizontal shift = 3/(π/2) = 6/π
The vertical shift, D = 0
Given that the mid line of the parent function, sin(x), is the line y = 0, and that the vertical shift is 0, the midline of the function, , is therefore, the line;
y = 0.
The sum of the measures of the angles of a triangle is 180 degrees.
An isosceles triangle has two congruent sides.
The angles opposite the congruent sides are congruent.
Just like the bottom left angle measures x, the bottom right angle also measures x.
x + x + 38 = 180
2x + 38 = 180
2x = 142
x = 71
Do you have step one? maybe i can try it but im not that good in math
Simple problem:
When simplifying 3(x-6) they subtracted 3 instead of multiplied by 3.
3(x-6) should be 3x-18.
Now when you simplify:
3x-18+4x+12-6x
Which is x -6 =0
Or x =6
Answer:
The length of the case is 24 cm and its width is 17cm.
Step-by-step explanation:
The Length of a standard jewel case is 7cm more than its width.
Let the length be represented by L and the width be represented by W, this means that:
L = 7 + W
The area of the rectangular top of the case is 408cm². The area od a rectangle is given as:
A = L * W
Since L = 7 + W:
A = (7 + W) * W = 7W + W²
The area is 408 cm², hence:
408 = 7W + W²
Solving this as a quadratic equation:
=> W² + 7W - 408 = 0
W² + 24W - 17W - 408 = 0
W(W + 24) - 17(W + 24) = 0
(W - 17) (W + 24) = 0
=> W = 17cm or -24 cm
Since width cannot be negative, the width of the case is 17 cm.
Hence, the length, L, is:
L = 7 + 17 = 24cm.
The length of the case is 24 cm and its width is 17cm.