answer is 11/3.
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Answer:
x = 1
y = -1
Point = (1,-1)
Step-by-step explanation:
2x + 3y = -1 = y = -2/3 - 1/3
5x + 2(-2/3 - 1/3) = 3
5x - 1 1/3 - 2/3 = 3
5x - 2 = 3
<u> +2 +2</u>
5x = 5
<em><u>x = 1</u></em>
2(1) + 3y = -1
2 + 3y = -1
<u>-2 -2</u>
3y = -3
<em><u>y = -1</u></em>
Answer: The largest angle formed during his trip is at the mall between his home and the library.
Step-by-step explanation:
Hi, since the situation forms a right triangle (see image attached) the angle formed between his home and the library is 90°.
The sum of the interior angles of a right triangle is 180°, and the right angle (90°)is the largest angle formed.
So, the largest angle formed during his trip is at the mall between his home and the library.
Feel free to ask for more if needed or if you did not understand something.
Answer:
Explicit tn = 52 + (n - 1)*(-12)
Recursive = tn = t(n - 1) - 12
Step-by-step explanation:
The difference between term n and term n - 1 is can be found by taking the difference between and 2 consecutive terms.
t3 = 28
t2 = 40
d = t3 - t2
d = 28 - 40
d = - 12
Explicit
tn = a1 + (n - 1)*d
a1 = 52
d = - 12
tn = 52 + (n - 1)*(-12)
<em><u>Example</u></em>
Find t5
t5 = 52 + (5 - 1)*(-12)
t5 = 52 + 4 * - 12
t5 = 52 - 48
t5 = 4
Recursive
tn = t(n - 1) - 12
<em><u>Example</u></em>
t5 = t4 - 12
t5 = 16 - 12
t5 = 4 just as it did before.