Question A is a linear graph because it graphs as a diagonal line, while on the other hand Question B graphs as exponential! Hope this helped!
PLATO/Edmentum Answer:
17 & -16
Step-by-step explanation:
A circle is centered at the point (-7, -1) and passes though the point (8, 7).
The radius of the circle is 17 units. The point (-15, -16) lies on this circle
Answer: B. 12 and 64
Step-by-step explanation:
Option A is incorrect because the highest common factor for both numbers would be 38 not 4.
Option B:
Factors of 12 are: 1, 2 , 3, 4, 6, 12
Factors of 64 are: 1, 2, 4, 8, 16, 32 and 64.
<em>Highest factor of both is 4 and they both add up to 76 so option B must be correct. </em>
Answer: 60480
Step-by-step explanation:
Given : The number of empty seats in a theater = 9
The number of customers need to find places to sit =6
Since order matters here, so we use permutations
The permutations of n things taking r at a time is given by :-
Then, the number of ways to arrange 6 seat in 9 seats :-
Hence, the number of ways to arrange 6 seat in 9 seats = 60480
To answer your question: Rewrite <span>81<span>x2</span></span> as <span><span>(<span>9x</span>)</span>2</span>.<span><span><span>(<span>9x</span>)</span>2</span><span>−49</span></span>Rewrite 49 as <span>72</span>.<span><span><span>(<span>9x</span>)</span>2</span><span>−<span>72</span></span></span> Both terms are perfect squares, factor using the difference of squares formula, <span><span><span>a2</span><span>−<span>b2</span></span></span>=<span><span>(<span>a+b</span>)</span><span>(<span>a<span>−b</span></span>)</span></span></span> where <span>a=<span>9x</span></span> and <span>b=7</span>.<span><span>(<span><span>9x</span>+7</span>)</span><span>(<span><span>9x</span><span>−7</span></span><span>)</span></span></span>
