Find the 107 terms of sequence -9,-5,-1,3,7
1 answer:
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Hi! Basically, the problem is asking us to find the values of a, b, and c in the equation 
. Since we have three unknowns, we just need three equations. We can find these equations by using the data in the table.
First let's plug x = 0 and f(x) = 0.
Now that we know c, it's time to pick two more pairs. Let's plug-in (2,78) and (4,152)
Before proceeding with the process of eliminating one variable, let us first reduce both equations to their lowest terms. We divide the first equation by 2 and we divide the second one by 4.
Next, we subtract equation 2 from equation 1.
Finally, we substitute the value of a to equation 2 to get the value of b.
Therefore, the function should be
First let's plug x = 0 and f(x) = 0.
Now that we know c, it's time to pick two more pairs. Let's plug-in (2,78) and (4,152)
Before proceeding with the process of eliminating one variable, let us first reduce both equations to their lowest terms. We divide the first equation by 2 and we divide the second one by 4.
Next, we subtract equation 2 from equation 1.
Finally, we substitute the value of a to equation 2 to get the value of b.
Therefore, the function should be
Answer:
The longer diagonal has a length of 7.3 meters.
The angles are 31.65° and 18.35°
Step-by-step explanation:
If one angle of the parallelogram is 50°, another angle is also 50° and the other two angles are the supplement of this angle. so the other three angles are:
50°, 130° and 130°.
The longer diagonal will be the one opposite to the bigger angle (130°), and this diagonal divides the parallelogram in two triangles.
Using the law of cosines in one of these two triangles, we have:
So the longer diagonal has a length of 7.3 meters.
To find the angles that this diagonal forms with the sides, we can use the law of sines:
The other angle is B = 50 - 31.65 = 18.35°
Please check the image attached for better comprehension.
