MATHEMATICS HIGH SCHOOL

How to do graph solution sets?

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Answer 1

Answer: my suggestion is to look on google, there are plenty of answers and I think it will explain better than me.

Answer with explanation:

We are given a parametric equation as:

$x=3 \sin^3 t$

and $y=3 \cos^3 t$

Hence, we can represent our equation as:

$\sin^3 t=(x)/(3)\n\n\n\sin t=((x)/(3))^{(1)/(3)}\n\n\nHence,\n\n\sin^2 t=((x)/(3))^{(2)/(3)}\n\nand\ similarly\n\n\cos^3 t=(y)/(3)\n\n\cos t=((y)/(3))^{(1)/(3)}\n\nHence,\n\n\cos^2 t=((y)/(3))^{(2)/(3)}$

As we know that:

$\cos^2 t+\sin^2 t=1$

Hence, on putting the value in the formula we get the equation in rectangular coordinates as:

$((x)/(3))^{(2)/(3)}+((y)/(3))^{(2)/(3)}=1$

Hence, this is a equation of a ASTROID.

Hello,

This is an astroïde.

(x/3)^(2/3)+(y/3)^(2/3)=1

9x+6x^2= 124 what is x

Answers

X: -9 +- square root of 3057
---------------------------------
12

6x^2 + 9x - 124 = 0
x = [-9 +-sq root (36-4*9*-124)] / 2*6
x1 = 3.8575
x2 = -5.3575

Can someone tell me how to evalaute 6!

Answers

Where is the question?

If you're referring to factorials, then,

6! = 6*5*4*3*2*1 = 720

You start with 6 and count your way down to 1, multiplying along the way.

To the nearest foot, how long is Pennsylvania Ave. between 19th St. and 18th St? (Hint: The 425 ft on the map above represents the length of Pennsylvania Ave. between 20th St. and 19th St.)

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425 would be the answer

What volume in ml of 0.500 M silver nitrate is required to completely react with 25.0 ml of 1.5 M calcium chloride?

Answers

First, the balanced chemical equation of the reaction must be written. This gives:

2 AgNO3 (aq) + CaCl2 (aq) --> 2 AgCl (s) + Ca(NO3)2 (aq)

This shows that for every mole of CaCl2, 2 moles of AgNO3 reacts (1:2 ratio). Given the volume and molarity of CaCl2, we can compute for the number of moles of CaCl2.

moles CaCl2 = 1.5M(25mL/1000) = 0.0375 moles

Now, we can also compute for the moles of AgNO3 using the balanced equation.

moles AgNO3 = 2(0.0375) = 0.075 moles

Using the moles and molarity of AgNO3, we can compute for the volume needed.

volume (mL)/1000 = 0.075/0.5 = 150 mL of silver nitrate solution is required.

Which of the following is a point-slope equation for a line with the point(-2, 4) and a slope of 3?
O A. y-2-3(x-4)
B. y-4-3(x-2)
O C. y +2 = 3(x-4)
O D. y - 4 - 3(x+2)

Answers

Hi there! :)

Answer:

Choice D. (y - 4) = 3(x + 2)

Step-by-step explanation:

An equation in point-slope form is:

(y - y1) = m(x - x1)

Where:

y1 = y-coordinate of a point

m = slope

x1 = x-coordinate of a point

In this instance, the point given is (-2, 4) with a slope of 3. Therefore, the equation in point-slope form would be Choice D. (y - 4) = 3(x + 2)

Answer:

Step-by-step explanation:

answer is C

Because formula of equation of slop is

Y-y1=m(x-x1)

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How to do graph solution sets?

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