Answer:
0 can't be squared, so yes. If a decimal stretches on, it's the same value as the number that has the same digits but doesn't stretch on. The only difference is that the one that does is further from 0.
Answer:
Standard Complex Form :
Step-by-step explanation:
We want to rewrite this expression in standard complex form. Let's first evaluate cos(5π / 6). Remember that cos(x) = sin(π / 2 - x). Therefore,
cos(5π / 6) = sin(π / 2 - 5π / 6),
π / 2 - 5π / 6 = - π / 3,
sin(- π / 3) = - sin(π / 3)
And we also know that sin(π / 3) = √3 / 2. So - sin(π / 3) = - √3 / 2 = cos(5π / 6).
Now let's evaluate the sin(5π / 6). Similar to cos(x) = sin(π / 2 - x), sin(x) = cos(π / 2 - x). So, sin(5π / 6) = cos(- π / 3). Now let's further simplify from here,
cos(- π / 3) = cos(π / 3)
We know that cos(π / 3) = 1 / 2. So, sin(5π / 6) = 1 / 2
Through substitution we receive the expression 25( - √3 / 2 + i(1 / 2) ). Further simplification results in the following expression. <u>As you can see your solution is option a.</u>
Answer:
The scale factor is 2/3.
Step-by-step explanation:
Given data,
The given image is (6,9)
The image after dilation is (4,6)
The scale factor is calculated by dividing the resultant image by the initial image.
For example, if the initial dimensions are (x1, y1) and the final dimensions are (x2,y2). The scale factor is calculated using x2/x1 = y2/y1 = Scale Factor
In our scenario,
x1 = 6
x2 = 4
y1 = 9
y2 = 6
Scale Factor = x2/x1
=> 4/6
=> 2/3
Similarly for y axis,
Scale Factor = y2/y1
=> 6/9
=> 2/3
Therefore, the scale factor is 2/3.
Answer:
D
Step-by-step explanation:
A system of linear equations has infinite solutions when the graphs are the exact same line.
Therefore, the answer is D