Convert vector B= 12i+5j to polar coordinates
1 answer:
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Answer:
The value of x is 3
Step-by-step explanation:
∵ Quadrilateral ABCD is congruent to quadrilateral JKLM
∴ AB = JK and BC = KL
∴ CD = LM and AD = JM
∵ BC = 8x + 7
∵ KL = 31
∵ BC = KL
→ Equate their right sides
∴ 8x + 7 = 31
→ Subtract 7 from both sides
∵ 8x + 7 - 7 = 31 - 7
∴ 8x = 24
→ Divide both sides by 8 to find x
∴ =
∴ x = 3
∴ The value of x is 3
9514 1404 393
Answer:
(-18, 14), (-9, 9), (9, -1), (18, -6)
Step-by-step explanation:
Since there is a 9 in the denominator of the coefficient of x, we will get integer solutions only if x is a multiple of 9. Suitable values meeting the problem requirements are x ∈ {-18, -9, 9, 18}. Then the corresponding values of y are ...
y = -5/9(-18) +4 = 10 +4 = 14
y = -5/9(-9) +4 = 5 +4 = 9
y = -5/9(9) +4 = -5 +4 = -1
y = -5/9(18) +4 = -10 +4 = -6
The four solutions we have found are ...
(-18, 14), (-9, 9), (9, -1), (18, -6)
