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6x-3-11-8x=2 please show work
1 answer:
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Line A:
y - y₁ = m(x - x₁)
y - 1 = 1(x - (-5))
y - 1 = 1(x + 5)
y - 1 = 1(x) + 1(5)
y - 1 = x + 5
+ 1 + 1
y = x + 6
Line B:
y - y₁ = m(x - x₁)
y - (-1) = -3(x - 4)
y + 1 = -3(x) + 3(4)
y + 1 = -3x + 12
- 1 - 1
y = -3x + 11
y = x + 6
y = -3x + 11
x + 6 = -3x + 11
+ 3x + 3x
4x + 6 = 11
- 6 - 6
4x = 5
4 4
x = 1¹/₄
y = x + 6
y = 1¹/₄ + 6
y = 7¹/₄
(x, y) = (1¹/₄, 7¹/₄)
The answer is B.
y - y₁ = m(x - x₁)
y - 1 = 1(x - (-5))
y - 1 = 1(x + 5)
y - 1 = 1(x) + 1(5)
y - 1 = x + 5
+ 1 + 1
y = x + 6
Line B:
y - y₁ = m(x - x₁)
y - (-1) = -3(x - 4)
y + 1 = -3(x) + 3(4)
y + 1 = -3x + 12
- 1 - 1
y = -3x + 11
y = x + 6
y = -3x + 11
x + 6 = -3x + 11
+ 3x + 3x
4x + 6 = 11
- 6 - 6
4x = 5
4 4
x = 1¹/₄
y = x + 6
y = 1¹/₄ + 6
y = 7¹/₄
(x, y) = (1¹/₄, 7¹/₄)
The answer is B.
Answer: Approximately 22.62 degrees
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Work Shown:
cos(angle) = adjacent/hypotenuse
cos(y) = 12/13
y = arccos(12/13)
y = 22.6198649
y = 22.62
Notes:
- Arccosine is the same as inverse cosine. On your calculator there should be a button labeled
- Make sure your calculator is in degree mode
- The decimal result for y, shown above, is approximate. I rounded to two decimal places to show the final answer. Round however you need to if your teacher instructs otherwise.