Answer:
y=4/-2
Step-by-step explanation:
I think that is the answer
Complete question is;
Andrea is given ABC and told that a² + b² = c². She draws right triangle RTS with legs measuring a and b and hypotenuse measuring 2. Which best describes what Andrea should
do in order to prove that ABC is a right triangle?
Answer:
Andrea should show that c = 2, so: ∡ABC = ∡RTS and ∡C = ∡S. Hence, ∡C is a right angled triangle, hence ΔABC is a right triangle
Step-by-step explanation:
In this question, we are told that the given sides of the triangle are a, b and c. Now, Andrea is able to draw the two sides of the right triangle with sides = a and b and the third, hypotenuse equal to 2. Since the length of the hypotenuse = 2, then we have;
2² = a² + b²
However, we are told that c² = a² + b²
Therefore, c = 2
Hence, Andrea should show that c = 2 so ΔABC = ΔRTS and ∡C = ∡S hence ∡C is a right angled triangle since it is the angle opposite to the hypotenuse c and therefore, ΔABC is a right triangle.
We conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.
<h3>
How to get the sum of the first 8 terms?</h3>
In an arithmetic sequence, the difference between any two consecutive terms is a constant.
Here we know that:
![a_1 = 3/5\\a_8 = 1/4](https://tex.z-dn.net/?f=a_1%20%3D%203%2F5%5C%5Ca_8%20%3D%201%2F4)
There are 7 times the common difference between these two values, so if d is the common difference:
![a_1 + 7*d = a_8\\\\3/5 + 7*d = 1/4\\\\7*d = 1/4 - 3/5 = (5 - 12)/20 = -7/20\\\\d = -1/20](https://tex.z-dn.net/?f=a_1%20%2B%207%2Ad%20%3D%20a_8%5C%5C%5C%5C3%2F5%20%2B%207%2Ad%20%3D%201%2F4%5C%5C%5C%5C7%2Ad%20%3D%201%2F4%20-%203%2F5%20%3D%20%285%20-%2012%29%2F20%20%3D%20-7%2F20%5C%5C%5C%5Cd%20%3D%20-1%2F20)
Then the sum of the first 8 terms is given by:
![3/5 + (3/5 - 1/20) + (3/5 - 2/20) + ... + (3/5 - 7/20)\\\\8*(3/5) - (1/20)*(1 + 2 + 3+ 4 + 5 + 6 + 7) = 3.4 = 34/10 = 17/5](https://tex.z-dn.net/?f=3%2F5%20%2B%20%283%2F5%20-%201%2F20%29%20%2B%20%283%2F5%20-%202%2F20%29%20%2B%20...%20%2B%20%283%2F5%20-%207%2F20%29%5C%5C%5C%5C8%2A%283%2F5%29%20-%20%281%2F20%29%2A%281%20%2B%202%20%2B%203%2B%204%20%2B%205%20%2B%206%20%2B%207%29%20%3D%203.4%20%3D%2034%2F10%20%3D%2017%2F5)
So we conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.
If you want to learn more about arithmetic sequences:
brainly.com/question/6561461
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Answer:
r/2 -6
Step-by-step explanation:
less than means it comes after
half of r
r/2
6 less than means subtract
r/2 -6