X-3=66
x=69
69+41+(y-9)=180
110+y-9=180
101+y=180
y=79
Answer:
B IS a subset of set A because every element of set B is contained in set A
where det(<em>A</em>) = 1×1 - 2×1 = -1.
where det(<em>B</em>) = 0×2 - (-1)×1 = 1. Then
On the other side, we have
and det(<em>AB</em>) = det(<em>A</em>) det(<em>B</em>) = (-1)×1 = -1. So
and both matrices are clearly the same.
More generally, we have by definition of inverse,
where is the identity matrix. Multiply on the left by <em>A </em>⁻¹ to get
Multiplication of matrices is associative, so we can regroup terms as
Now multiply again on the left by <em>B</em> ⁻¹ and do the same thing:
Find the Greatest Common Factorthe largest number that divides evenly into <span>4x<span>4x</span></span> and <span>-6<span>−6</span></span>?
It is <span>22</span>.
the highest degree of <span>xx</span> that divides evenly into <span>4x<span>4x</span></span> and <span>-6<span>−6</span></span>?
It is 1, since <span>xx</span> is not in every term.Multiplying the results above,
The GCF is <span>22</span>.
<span><span>2(<span><span>2</span><span><span>4x</span></span><span></span></span>−<span><span>2</span><span>6</span><span></span></span>)
</span>
<span>−2(2x−3)</span>
</span>
Answer(s):
Step-by-step explanation:
<em>OR</em>
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of <em>sine</em>, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the <em>cosine</em> graph [photograph on the left], accourding to the <u>horisontal shift formula</u> above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY <em>REALLY</em> ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the <em>sine</em> graph [photograph on the right] is shifted to the right, which means that in order to match the <em>cosine</em> graph [photograph on the left], we need to shift the graph BACKWARD which means the C-term will be negative, and by perfourming your calculations, you will arrive at So, the sine graph of the cosine graph, accourding to the horisontal shift, is Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit from there to they are obviously apart, telling you that the period of the graph is Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the <em>midline</em>. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at in which each crest is extended <em>four units</em> beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.