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ohaa [14]
3 years ago
7

Plot three points and draw the line that has the following parametric equations:

Mathematics
2 answers:
juin [17]3 years ago
7 0
Y = -3x  + 6

y - 6 = -3x

-1/3 y + 2 = x

z = x  -3

z = -1/3 y + 2 -3 = -1/3  y  - 1 

set z = 0

-1/3 y = 1

y = -3

set y = 0

z = - 1 

Leya [2.2K]3 years ago
6 0

Answer:

We are given the parametric equations as:

x = t  

y = -3t + 6  

z = t - 3

Clearly we could find a relationship between x and y as:

y= -3x+6----(1)

since x=t

Also we can find a relationship between x and z as:

z=x-3-----(2)

Now we can write a relationship between y and z as:

from equation (2) we have:

x=z+3 and putting this value of x in equation (1) to obtain:

y=-3(3+z)+6

y= -3z-3

Now we can consider three points as:

When x=1    y=3    z=-2

         

       



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Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S
Harman [31]
ANSWER

y =  \frac{3}{2} x + 8



EXPLANATION

The line given to us has equation,

2x + 3y = 9

We need to write this equation in the slope intercept form to obtain,


3y =  - 2x + 9



\Rightarrow \: y =  -  \frac{2}{3}x + 3


The slope of this line is

m_1 =  -  \frac{2}{3}
Let the slope of the perpendicular line be

m_2

Then
m_1 \times m_2 =  - 1


-  \frac{2}{3} m_2=  - 1

This implies that,

m_2 =  - 1 \times  -  \frac{3}{2}


m_2 =  \frac{3}{2}



Let the equation of the perpendicular line be,

y = mx + b

We substitute the slope to get,


y =  \frac{3}{2} x + b

Since this line passes through
(-2,5)
it must satisfy its equation.


This means that,

5=  \frac{3}{2} ( - 2)+ b


5 =  - 3 + b



5 + 3 = b


b = 8

Wherefore the slope-intercept form is

y =  \frac{3}{2} x + 8
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3 years ago
What are the roots of the equation?
Mariana [72]

Answer:

3x2

Step-by-step explanation:

because it is

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Irina-Kira [14]

9514 1404 393

Answer:

  k = -1

Step-by-step explanation:

Put the given value of x in the equation, and solve the resulting equation for k.

  2(5 -3) +k(1 +2·5) = k - 5 - 1

  2(2) +k(11) = k -6 . . . . simplify a bit

  10k = -10 . . . . . . . . . . add -4-k to both sides

  k = -1 . . . . . . . . . . . . . divide by 10

The value of k is -1.

_____

<em>Check</em>

Use k = -1 in the original equation and solve for x.

  2(x -3) -(1 +2x) = -1 -x -1

  2x -6 -1 -2x = -x -2 . . . . eliminate parentheses

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8 0
3 years ago
What is the area of a circle with a Radius of 4 and a Diameter of 2?<br><br> (Its on Khan)
algol13

Answer:4^2≈50.26548

Step-by-step explanation:

   πr2.

   Where r is the radius and π≈3.14 , the ratio of a circle's circumference to    its diameter.

   Plugging in 4 from the radius, we get.

   42π

   ⇒16π inches.

   This is our exact answer. Alternatively, we can plug in 3.14 for π to get.

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2 years ago
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Answer:

Step-by-step explanation:

12\sqrt{11}=\sqrt{11*12*12}\\\\=\sqrt{1584}

6 0
3 years ago
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