Measure of Angle PQR in degrees

Find parametric equations which describe each curve. No particular orientation is required.

MA_775_DIABLO [31]

Answer:

The equation of the line is $(x(t),y(t))=(1-4t,2+6t)$ and the equation of the circle is $F(t)= (3cos(t)+4,3sin(t)+1)$ .

Step-by-step explanation:

(a) Given: The given points are $(1,2)$ and $(-3,8)$ .

To find: The parametric equation of line containing points $(1,2)$ and $(-3,8)$ .

We know that the parametric equation of line containing $(x_{1} ,y_{1} )$ and $(x_{2} ,y_{2} )$ is given by $(x(t),y(t))=(x_{1}+(x_{2}-x_{1})t,y_{1}+(y_{2}-y_{1})t)$ where $t$ ∈ $[0,1]$ .

Now, $x(t)=1+(-3-1)t$

i.e, $x(t)=1-4t$

And, $y(t)=2+(8-2)t$

i.e, $y(t)=2+6t$

Hence, the required parametric equation of the line is $(x(t),y(t))=(1-4t,2+6t)$ .

(b) Given: The radius of circle is 3 and centre is $(4,1)$ .

To find: The parametric equation of circle with radius 3 and centre $(4,1)$ .

We know that parametric equation of circle with radius $r$ and centre $(h,k)$ is given by $F(t)= (x(t),y(t))$ where $x(t)=rcos(t)+h$ and $y(t)=rsin(t)+k$ .

Now, $x(t)=3cos(t)+4$

$y(t)=3sin(t)+1$

So, the parametric equation of circle having radius 3 and centre $(h,k)$ is $F(t)= (3cos(t)+4,3sin(t)+1)$ .

Hence, the required equation of the circle is $F(t)= (3cos(t)+4,3sin(t)+1)$ .

7 0

3 years ago

Find the product. (-3/5) (2/9)

ivann1987 [24]

Answer:

-0.13333333333

6 0

3 years ago

Suggest a fundamentally and conceptually different way that is always under the control of the researcher of making the margin o

SVEN [57.7K]

Step-by-step explanation:

First, we may wonder, what does the term <em>margin of error</em> mean? Put simply, the margin of error is a measure of the degree to which research results do not reflect the views of the total studied population. In other words, it tells readers how much confidence they should have in the results presented.

It has often been suggested that a fundamentally and conceptually effective way that is always under the control of the researcher of making the margin of error smaller is to<em> increase the sample size</em> of the research. This basically involves collecting more sample data which thus leads to a closer estimate of the view of the entire population.

3 0

3 years ago

How can you find 75% of any number?

Aleks04 [339]

Answer:

Step-by-step explanation:

Multiply it by 0.75, or find 3/4 of that number. Whichever you prefer! The first one always works though the second one sometimes does but sometimes 3/4 of the number isn't that obvious.

5 0

3 years ago

Read 2 more answers

Please help! asap! i have no idea what it is and it’s worth a lot of points on my test!

beks73 [17]

I haven’t done math in forever, do you want us to simplify it? Bc it would be 2x+8=-16=4x+6 but I’m not sure

5 0

3 years ago

Measure of Angle PQR in degrees​

Measure of Angle PQR in degrees