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2 years ago

NEED HELP ASAP!

Mathematics

1 answer:

mote1985 [20]2 years ago

7 0

Answer:

Step-by-step explanation:

You input will always be your x so you just substitute x with 10 and simplify. Which is 30 minus 6, thus 24. :)

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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

A person bikes 2

Lerok [7]

Answer:

The person bikes 20 miles in an hour

Step-by-step explanation:

5 0

2 years ago

Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels 22 meters in 10 seconds. Who was moving faste

Andrews [41]

Answer:

Mai was moving faster.

As, she covered a greater distance in the same amount of time.

Step-by-step explanation:

Given: Mai traveled 15 meters in 6 seconds and Priya travels 22 meters in 10 second.

Calculate the speed of both;

Speed defined as the rate at which an object covers distance.

$Speed = \frac{Distance}{Time}$

Mai traveled 15 meters in 6 seconds

then;

Speed = $\frac{15}{6} = 2.5 m/s$

Priya travels 22 meters in 10 second.

then;

Speed = $\frac{22}{10} = 2.2 m/s$

Reason: Mai traveled faster because she covered a greater distance in the same amount of time.

7 0

3 years ago

Which statement is NOT true? A. All isosceles triangles are also equilateral triangles. B. All equilateral triangles are also is

Alecsey [184]

Hello there!

The statement that would NOT be true would be option A. All isosceles triangles are also equilateral triangles. The rest of the statements would be TRUE.

Hope this helps and have a great day! :)

5 0

3 years ago

On a certain exam, Tony corrected 20 papers and found the mean for his group to be 70. Alice corrected the remaining 10 papers

son4ous [18]

Answer:

The mean of the combined group is 76.67 ≈ 77

Step-by-step explanation:

The sum of the grades in Tom's group is 20×70 = 1400
The sum of grades in Alice's group is 10×90=900
The sum of gradees in the combined group is =1400+900=2300
Then the mean grade of the combined group is $\frac{2300}{30}=76.67$

where

2300 is the sum of the all grades in the combined group
30 is the total number of people in the group

4 0

3 years ago