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3 years ago

Which ordered pair is the best estimate for the solution of the system of equations? y=32x+6y=14x−2

Mathematics

1 answer:

Oduvanchick [21]3 years ago

4 0

Answer:

y=14 x=5

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

I NEED ALGEBRA HELP, QUICK!! PLEASE!!!!!!!

garik1379 [7]

I believe that the answer is a

7 0

3 years ago

Help me please :(*******

WITCHER [35]

Answer:

m∡2 = 90°

Step-by-step explanation:

diagonals of a rhombus are perpendicular

8 0

3 years ago

tiff basic insurance cost is $613.50 per year. His insurance company offers a typical "safe-driver discount." What would be his

forsale [732]

The rate if he went three years without an accident based on the information about the insurance is $552.15.

<h3>How to calculate the insurance?</h3>

From the information given, his basic insurance cost is $613.50 per year and his insurance company offers a typical "safe-driver discount.

The amount will be:

= 613.50 - (20.45 × 3)

= 552.15

In conclusion, the rate is $552.15.

Learn more about insurance on:

brainly.com/question/25855858

#SPJ1

5 0

2 years ago

Mr Smith is on a road trip from Cleveland to Chicago. He is 65% of the way there , and has already driven 455 miles. How many mo

Keith_Richards [23]

Hi i'd be glad to help you with this equation.

basically all we have to do is find (65%) of 455*.

65% of 455* = 295.75

Next.

455 + 295.75 = 750.75

So, to check my work I have 750.75 miles in total.

I have already driven 455 miles of 750.75 miles.

Using subtraction we subtract our distance from our total.

750.75 - 455 = 295.75

So, in total your answer to this problem is (295.75)

Hope this helps.
Have a great day!

8 0

3 years ago