Answer:
A) reflection of P across the x-axis is at (3, 4).
Step-by-step explanation:
The relevant transformations are ...
(x, y) ⇒ (x, -y) . . . . . . reflection across the x-axis
(x, y) ⇒ (-x, y) . . . . . . reflection across the y-axis
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A) sign of y-coordinate has changed: reflection across the x-axis
B) signs of both coordinates have changed: reflection across both axes
C) sign of x-coordinate has changed: reflection across the y-axis
D) sign of y-coordinate has changed: reflection across the x-axis
The only answer choice that has a proper description is Choice A.
I^2 = -1
i = √-1
Substitute the value of i in the equation:
(4+2i)(6-ki)=30
{4 + (2)(√-1)} {6 - k (√-1)} = 30
( 4 + 2√-1)(6 -k√-1) = 30
24 - 4k√-1 + 12√-1 -2k (-1) =30
24 - 4k√-1 + 12√-1 +2k =30
-4k√-1+12√-1 + 2k - 6 =0
-2√-1(2k -6) + (2k-6) =0
(-2√-1 +1)(2k-6)=0
2k -6 =0
2k = 6
k= 3
So, the value of k is 3.
The volume of the prism is 31.25 cm cubed.
Therefore the container has a higher volume.
35 - 31.25 is 3.75.
The difference is 3.75
Let
x----------> the first mechanic rates
y----------> the second mechanic rates
we know that
x+y=165
15x+5y=1775
using a graph tool
see the attached figure
the solution is
x=95
y=70
the answer is
the rates of the first mechanic is 95the rates of the second mechanic is 70