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3 years ago

What is the y intercept of the trend line if the trend line uses a slope of o.6 and the

Mathematics

1 answer:

bulgar [2K]3 years ago

8 0

Answer:

600000000

Step-by-step explanation:

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You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta

vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

$m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$m = -\frac{\cos 2\theta}{\sin \theta}$

The tangent line is horizontal when $m = 0$ . Then:

$\cos 2\theta = 0$

$2\theta = \cos^{-1}0$

$\theta = \frac{1}{2}\cdot \cos^{-1} 0$

$\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right)$ , for all $i \in \mathbb{N}_{O}$

$\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}$ , for all $i \in \mathbb{N}_{O}$

The first four solutions are:

x: $\sqrt{2}$ $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$

y: 1 -1 1 -1

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

6 0

3 years ago

Please answer a and b

Assoli18 [71]

Answer:

(-2,1) (-1,1),(0,1)

Step-by-step explanation:

find the gradient first

6 0

3 years ago

What is the radius <br> (x + 10)² + (y - 8)2 = 169

d1i1m1o1n [39]

The given equation is an equation of a circle where the number after the equal sing is the radius squared.

To find the radius take the square root.

Radius = SQRT(169)

Radius = 13 units.

6 0

3 years ago

Cory made 4,500 g of candy. He saved 1 kg to eat later. He divided the rest of the candy over 7 bowls to

Olenka [21]

Answer: 500 g of candy in each bowl

Step-by-step explanation:

1,000 g = 1Kg

4,500 g - 1,000 g = 3,500 g of candy were divided over 7 bowls:

Each bowl contains = 3,500 g➗7 bowls = 500 g candy/bowl

Answer: 500 g of candy in each bowl

<h2><em>Spymore</em></h2>

4 0

3 years ago

The diagram the area of the large square is one square unit 2000 new segments divide a square into 4 equal sized triangles two o

sleet_krkn [62]

The answer is 0 because it cancels itself out

3 0

3 years ago