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3 years ago

What is 3pairs of numbers that have 5 as their greatest common factor

Mathematics

1 answer:

cupoosta [38]3 years ago

6 0

10, 20 , 30, 45 has 5 as their greatest common factor

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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

Difference between negatives and positives. The average temperature in Neptune is -320 F while the average temperature in Venus

Vlada [557]

Answer:

1187 degrees is the difference

Step-by-step explanation:

8 0

4 years ago

What does 4 tens and 10 ones represent?

elixir [45]

Answer:

Step-by-step explanation:

Step 1:

40 + 10

Answer:

Hope This Helps :)

4 0

3 years ago

It is -40°F on a cold night in the North Pole. When the sun is out the next day, it is -5°F. What is the difference in temperatu

Alexeev081 [22]

Answer:

-35°F

Step-by-step explanation:

-40 - -5 equals -35°F

8 0

3 years ago

Help please .....................

Arlecino [84]

Answer:

Step-by-step explanation:

well you know that angles in the same segment are equal so angle VWZ also= 38

triangle VWZ is a triangle so the sum of interior angles sums to 180

180-72-38=70

8 0

3 years ago

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