Answer:
Step-by-step explanation:
The equation of a periodic function is in the form:
y = Asin(Bx + C) + D
Where A = amplitude, B = 2π / period, D = vertical shift, phase shift = -C / B.
Given that:
amplitude: 4, period 4 phase shift = vertical shift = -2
Hence:
A = amplitude = 4, B = 2π / period = 2π / 4 = π / 2, D = vertical shift = -2.
Phase shift = -C / B
C = -phase shift * B = - * -2 * π / 2 = π.
Therefore substituting gives:
Answer:
xy
2xy
4
Step-by-step explanation:
A factor is a number of term you can factor out of each part of the expression/ or divide it by.
In -24xyz - 12xy + 20xyz
All three parts have xy, so it is a factor
All three don't have 12xz, because -12xy doesn't have z variable for instance.
All three have 2xy.
All three can't factor out 3y, because you can't divide 20 by 3 nicely.
All three can't factor out 4yz, because middle term -12xy doesn't have z.
All three can't factor out 12, because you can't nicely divide 20/12.
All three can factor out 4, because -24, -12, and 20 are all divisible by 4.
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Answer:
y = 9x + (-7) should be the answer
Answer: 12.65 cm
Step-by-step explanation:
Use the Pythagoras theorem,
a^2 + b^2= c^2
You are given the hypotenuse , which is c and another leg which is either a or b, does not particularly matter- rearrange to find the missing length
c^2 - b^2 = a^2
14^2 - 6^2 = 160
Square root 160 to find the missing length
12.65
Hope this helped :)
Answer:
i.e answer A.
Step-by-step explanation:
This question involves knowing the following power/exponent rule:
![\sqrt[n]{x^m} = x^\frac{m}{n} \\\\so \sqrt[7]{x^2} = x^\frac{2}{7} \\\\and \\\\ \sqrt[5]{y^3} = y^\frac{3}{5} \\](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Em%7D%20%3D%20x%5E%5Cfrac%7Bm%7D%7Bn%7D%20%5C%5C%5C%5Cso%20%5Csqrt%5B7%5D%7Bx%5E2%7D%20%3D%20x%5E%5Cfrac%7B2%7D%7B7%7D%20%5C%5C%5C%5Cand%20%20%5C%5C%5C%5C%20%5Csqrt%5B5%5D%7By%5E3%7D%20%3D%20y%5E%5Cfrac%7B3%7D%7B5%7D%20%5C%5C)
Next, when a power is on the bottom of a fraction, if we want to move it to the top, this makes the power become negative.
so the y-term, when moved to the top of the fraction, becomes:
So the answer is:
