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3 years ago

What is the midpoint of AB if A = (−2, 2) and B = (3, −1)?

1 answer:

6 0

Midpoint formula (x1 + x2) / 2, (y1 + y2)/2
(-2,2)...x1 = -2 and y1 = 2
(3,-1)...x2 = 3 and y2 = -1
now we sub
m = (-2 + 3) / 2 , (2 - 1) / 2
m = (1/2, 1/2) <===

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The graph of y=sin(x-3π/2) is the graph of the y=sin(x) shifted in which direction

pychu [463]

Answer:

$\frac{3\pi}{2}$ units to the right

Step-by-step explanation:

If we have a parent function y = Sin(x), the function

y = Sin(x-b) would be the parent shifted b units right
y = Sin (x+b) would be the parent shifted b units left

The function given is $y=Sin(x-\frac{3\pi}{2})$

So from the rules, we can clearly say that it is parent function shifted RIGHT by $\frac{3\pi}{2}$ units.

2nd answer choice is correct.

5 0

3 years ago

It is given that 2^x = 5^y = 10^z , express z in terms of x and y

weqwewe [10]

9514 1404 393

Answer:

z = (xy)/(x+y)

Step-by-step explanation:

Taking logarithms base 10, we have ...

x·log(2) = y·log(5) = z·log(10)

z = x·log(2) = y·log(5) . . . . . . . . log(10) = 1

Then z/x = log(2), and z/y = log(5), so ...

z/x +z/y = log(2) +log(5) = log(2·5) = 1

z = 1/(1/x +1/y) = 1/((x+y)/(xy))

z = (xy)/(x+y)

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3 years ago

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jeyben [28]

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3 years ago

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What is the value of x in the equation (5^x)^5=5^35

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3 years ago