Answer:
a transformation could be a rotation, reflection, and/or a translation.
Step-by-step explanation:
In geometry, transformation refers to the movement of objects in the coordinate plane.
Therefore, a transformation could be a rotation, reflection, and/or a translation.
Answer:
11.43
Step-by-step explanation:
10 divided by 7/8
Set the expression:
(10/(7/8))
To solve, flip the denominator fraction, and make the division into multiplication:
((10 x 8)/7)
Multiply across, then divide:
(80)/7
Divide:
80/7 = 11.43 (rounded)
11.43 is your answer.
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Answer:
The required rectangular form of the given complex polar form :
z1 = -3√2 - 3√2i
Step-by-step explanation:
![z_1=6[\cos (\frac{5\pi}{4}) + i\sin(\frac{5\pi}{4})]...........(1)\\\\Now,\cos (\frac{5\pi}{4})=\cos(\pi+\frac{\pi}{4})\\\\=-\cos(\frac{\pi}{4})\\\\=-\frac{1}{\sqrt{2}}\\\\And,\sin (\frac{5\pi}{4})=\sin(\pi+\frac{\pi}{4})\\\\=-\sin(\frac{\pi}{4})\\\\=-\frac{1}{\sqrt{2}}](https://tex.z-dn.net/?f=z_1%3D6%5B%5Ccos%20%28%5Cfrac%7B5%5Cpi%7D%7B4%7D%29%20%2B%20i%5Csin%28%5Cfrac%7B5%5Cpi%7D%7B4%7D%29%5D...........%281%29%5C%5C%5C%5CNow%2C%5Ccos%20%28%5Cfrac%7B5%5Cpi%7D%7B4%7D%29%3D%5Ccos%28%5Cpi%2B%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5C%5C%5C%5C%3D-%5Ccos%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5C%5C%5C%5C%3D-%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%5C%5C%5C%5CAnd%2C%5Csin%20%28%5Cfrac%7B5%5Cpi%7D%7B4%7D%29%3D%5Csin%28%5Cpi%2B%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5C%5C%5C%5C%3D-%5Csin%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5C%5C%5C%5C%3D-%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D)
On substituting the obtained values in equation (1)
![z_1=6[\frac{-1}{\sqrt{2}}-i\cdot \frac{1}{\sqrt{2}}]\\\\\implies z_1=-3\sqrt{2}- 3\sqrt{2}\cdot i](https://tex.z-dn.net/?f=z_1%3D6%5B%5Cfrac%7B-1%7D%7B%5Csqrt%7B2%7D%7D-i%5Ccdot%20%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%5D%5C%5C%5C%5C%5Cimplies%20z_1%3D-3%5Csqrt%7B2%7D-%203%5Csqrt%7B2%7D%5Ccdot%20i)
Hence, the required rectangular form of the given complex polar form :
z1 = -3√2 - 3√2i
A function assigns the values. The correct option is D.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
The given function
when plotted on the graph will look as shown below. Therefore, the function is increasing on the interval (–1, ∞).
Hence, the correct option is D.
Learn more about Function:
brainly.com/question/5245372
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Answer: No solution
Step-by-step explanation:
2m+4p=22
6m+12p=66
First, to choose one variable to simplified, I choose to find 1st equations in m form.
2m+4p=22
2m=22-4p [Subtract 4p from both side]
m=22/2 - 4/2p [Divide 2 on both side to find m]
m= 11 - 2p
6m+12p=66
6(11-2p)+12p=66 [Plug in the 11-2p in to m,according to the 1st equation]
66-12p+12p=66
The -12p has cancel with 12p, so it means that there is no solution