Answer:
equation has no solutions
Step-by-step explanation:
4p - 6= 3 +4p (subtract 4p from both sides)
-6 = 3
As you can see, -6 is obviously not equal to 3, hence we can conclude that the equation has no solutions.
<h2>
Answer: (y - 2) = - ¹/₄ (x - 10) </h2>
Step-by-step explanation:
When two lines are perpendicular, the product of their slope/gradient = -1. Another way of thinking of this is that they are negative-reciprocal of each other.
Let y = 4x + 6 be [a] & the perpendicular line [b]
since the slope of [a] = 4
then the slope (m) of [b] = - ¹/₄
Since we know the slope of [b], we can use the point-slope form (y - y₁) = m (x - x₁); where (x₁ , y₁) = (10 , 2) & m = - ¹/₄
∴ the equation of the perpendicular line : (y - 2) = - ¹/₄ (x - 10)
Answer:
Step-by-step explanation:
Use trigonometry
<u>The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine:</u>
- cos x = 18/25 = 0.72
- cos x = 0.72
- x = arccos 0.72
- x = 43.9455° ≈ 44.0° rounded
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