Answer:
6 m
Step-by-step explanation:
The diagrammatic illustration of the problem. Is attached
The diaabcw between Aaron and Jessica can be obtained using Pythagoras :
d = √(10² - 8²)
d = √100 - 64
d = √36
d = 6
I need help with this math question!! Simplify 0.4i−i.
2 answers:
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Take the leading coefficient and the last coefficient, and list all their factors. In this case, the leading coefficient is 1 because it is the number in front of the highest order term. 36 is the last coefficient.
= 1: 1
= 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Next we will find all the possible rational roots. To do so, divide each of the factors by each of the factors. For each result there is a positive and negative root. In this case 1 is the only factor. Since anything divided by 1 is itself, the possible rational roots are the same as the factors of 36 (except now we have positive and negative numbers).
So the possible roots are -1, 1, -2, 2, -3, 3, -4, 4, -6, 6.... etc.
Now use synthetic division to test each of the possible roots. If the answer does not have a remainder, then it is a root. After one possible root works, use the result of the division to continue finding other roots. Let me know if you need help with this step and I will upload a picture. Otherwise, division is pretty straight forward.
After dividing the polynomial by each possible rational root, we find -2 and -3 as roots. We can express these roots as the factors (x+2) and (x+3). So after wee factor them out, we get:
(x+2)(x+3)(x^2 - 4x + 6)
Hope this helps! Rational Root Theorem is a lot of work, but it is easy once you understand it!
Next we will find all the possible rational roots. To do so, divide each of the
So the possible roots are -1, 1, -2, 2, -3, 3, -4, 4, -6, 6.... etc.
Now use synthetic division to test each of the possible roots. If the answer does not have a remainder, then it is a root. After one possible root works, use the result of the division to continue finding other roots. Let me know if you need help with this step and I will upload a picture. Otherwise, division is pretty straight forward.
After dividing the polynomial by each possible rational root, we find -2 and -3 as roots. We can express these roots as the factors (x+2) and (x+3). So after wee factor them out, we get:
(x+2)(x+3)(x^2 - 4x + 6)
Hope this helps! Rational Root Theorem is a lot of work, but it is easy once you understand it!
Answer:
- The graphed is attached.
- It's an enlargement.
Step-by-step explanation:
A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.
When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".
When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".
In this case we know that the scale factor is 4.
Since:
So it is an Enlargement.
Now we need to multiply the coordinates of the vertices of VWXY by 4, in order to find the coordinates of the vertices of V'W'X'Y'. These are:
Now we must draw the pre-image and the pre-image and label them, as you see in the picture attached.
