I'll finish this in a comment or get a mod to open it, but the way it reads, it beeps 67.2 times in those 12 hours. Did you mean per hour?
67.2 / 12 = 5.6
See comment below. The question is the number of beeps in 1 hour which is 5.6 <<<< Answer
So the triangle need to equal to 180 so 144+33 that’s 177 so 180- 177 is 3 so the 3h is a straight line meaning that 180 -3
Is 177 so that’s urs answer 177
43.96/14
Step-by-step explanation:
Whenever you multiply a binomial by itself twice, the resulting trinomial is called a perfect square trinomial
For example, (x + 1) × (x + 1) = x2<span> + x + x + 1 = x</span>2<span> + 2x + 1 and x</span>2<span> + 2x + 1 is a perfect square trinomial</span>
Another example is (x − 5) × (x − 5)
(x − 5) × (x − 5) = x2<span> + -5x + -5x + 25 = x</span>2<span> + -10x + 25 and x</span>2<span> + -10x + 25 is a perfect square trinomial </span>
Now, we are ready to start factoring perfect square trinomials
The model to remember when factoring perfect square trinomials is the following:
a2<span> + 2ab + b</span>2<span> = (a + b)</span>2<span> and (a + b)</span>2<span> is the factorization form for a</span>2<span> + 2ab + b</span>2
Notice that all you have to do is to use the base of the first term and the last term
In the model just described,
the first term is a2<span> and the base is a</span>
the last term is b2<span> and the base is b</span>
Put the bases inside parentheses with a plus between them (a + b)
Raise everything to the second power (a + b)2<span> and you are done </span>
<span>Notice that I put a plus between a and b. </span>You will put a minus if the second term is negative!
a2<span> + -2ab + b</span>2<span> = (a − b)</span>2
Remember that a2<span> − 2ab + b</span>2<span> = a</span>2<span> + -2ab + b</span>2<span> because a minus is the same thing as adding the negative ( − = + -) So, a</span>2<span> − 2ab + b</span>2<span> is also equal to (a − b)</span>2
Example #1:
Factor x2<span> + 2x + 1</span>
Notice that x2<span> + 2x + 1 = x</span>2<span> + 2x + 1</span>2
Using x2<span> + 2x + 1</span>2, we see that... the first term is x2<span> and the base is x</span>
the last term is 12<span> and the base is 1</span>
Put the bases inside parentheses with a plus between them (x + 1)
Raise everything to the second power (x + 1)2<span> and you are done </span>
Example #2:
Factor x2<span> + 24x + 144</span>
But wait before we continue, we need to establish something important when factoring perfect square trinomials.
<span>. How do we know when a trinomial is a perfect square trinomial? </span>
This is important to check this because if it is not, we cannot use the model described above
Think of checking this as part of the process when factoring perfect square trinomials
We will use example #2 to show you how to check this
Start the same way you started example #1:
Notice that x2<span> + 24x + 144 = x</span>2<span> + 24x + 12</span>2
Using x2<span> + 24x + 12</span>2, we see that...
the first term is x2<span> and the base is x</span>
the last term is 122<span> and the base is 12</span>
Now, this is how you check if x2<span> + 24x + 12</span>2<span> is a perfect square</span>
If 2 times (base of first term) times (base of last term) = second term, the trinomial is a perfect square
If the second term is negative, check using the following instead
-2 times (base of first term) times (base of last term) = second term
Since the second term is 24x and 2 × x × 12 = 24x, x2<span> + 24x + 12</span>2<span> is perfect and we factor like this</span>
Put the bases inside parentheses with a plus between them (x + 12)
Raise everything to the second power (x + 12)2<span> and you are done </span>
Example #3:
Factor p2<span> + -18p + 81</span>
Notice that p2<span> + -18p + 81 = p</span>2<span> + -18p + 9</span>2
Using p2<span> + -18p + 9</span>2, we see that...
the first term is p2<span> and the base is p</span>
the last term is 92<span> and the base is 9</span>
Since the second term is -18p and -2 × p × 9 = -18p, p2<span> + -18p + 9</span>2<span> is a perfect square and we factor like this</span>
Put the bases inside parentheses with a minus between them (p − 9)
Raise everything to the second power (p − 9)2<span> and you are done </span>
Example #4:
Factor 4y2<span> + 48y + 144</span>
Notice that 4y2<span> + 48y + 144 = (2y)</span>2<span> + 48y + 12</span>2
(2y)2<span> + 48y + 12</span>2, we see that...
the first term is (2y)2<span> and the base is 2y</span>
the last term is 122<span> and the base is 12</span>
Since the second term is 48y and 2 × 2y × 12 = 48y, (2y)2<span> + 48p + 12</span>2<span> is a perfect square and we factor like this</span>
Put the bases inside parentheses with a plus between them (2y + 12)
Raise everything to the second power (2y + 12)2<span> and you are done </span>
Answer and explanation:
1. Cost is response variable while file size is explanatory variable. Cost is response variable here because it is the dependent variable and the other is the independently variable that affects the dependent variable cost. The scatter plot will show how much cost increase with each change in file size. Scatter plot is in positive direction and strong
2. Time of delay of thunder is response variable while distance from lightning is explanatory variable. Time of delay is dependent variable while the other is independent variable which affects it. Scatter plot shows how much delay of thunder changes with change in distance from lightning. Positive scatter plot and strong
3. Your distance from it is explanatory variable while apparent brightness is response variable. Distance from it is independently variable while the the other is dependent variable. Scatter plot shows change of brightness with each change of distance. Negative direction as distance increase results in brightness decrease. It is strong.
4. weight of car is response variable while age of owner is explanatory variable. Weight of car is dependent variable while the other is independent variable. Scatter plot shows change of weight of car with change of age of owner. Positive direction as one increases the other increases. Strong
