In analytical geometry, there are already derived equations to find the distance of lines and points as well as the angle made between two lines. As special case is when the other line is one of the coordinate axis. Then, the formula can be simplified to
tan θ =m, where m is the slope of the equation
In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.
<span>y-2x=7
y = 2x+7
dy/dx = 2 =m
So,
tan </span>θ = 2
θ = tan⁻¹(2)
θ = 63.43°
Answer:
C
Step-by-step explanation:
Ohio's resources support manufacturing equipment.
Using proportions, it is found that the measure of the inscribed angle B is of 30º.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In a circle, the inscribed angle is half the measure of the outside angle. Hence, in this problem, the measure of angle B is of 50% of 60º, hence:
m<B = 0.5 x 60º = 30º.
More can be learned about proportions at brainly.com/question/24372153
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Alright. So We Need To Take A Look At The Answer Choices. The Sum Of Two Rational Numbers Is Always Rational. This Is True. You Cant Add Bad With Bad And Get Good. So You Will Always Get Rational Numbers, So It Is Not A.
Lets Look At B. <span>The product of a nonzero rational number and an irrational number is always irrational. This is True. Pi Times Any Number Is Irrational. If You Have A Repeating Decimal,You Can't Change It To A Whole Number.
Lets Look At C. </span><span>The product of two rational numbers is always rational. This Is True. Any Rational Numbers Multiplied Will Always Be Rational. 3.5 * 4 = 14. this Is Still Rational, So Not C.
Lets Look At D. </span><span>The sum of two irrational numbers is always rational.This Is Not True. If You Do: Pi + Pi, This Will Not Be Rational. So, It Is D.
So, Having Looked At All The Choices, The Answer Is D.
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