2 years ago

Scott takes a walk around the block. How far did he walk?

Mathematics

1 answer:

goldfiish [28.3K]2 years ago

7 0

I’m pretty sure it’s 240 because you multiply then add

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Please help!! x = 2 - 3 cos t, y = 1 + 4 sin t in rectangular form?<br><br> thank you! :)

sukhopar [10]

Answer:

$\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1$

Step-by-step explanation:

$x=2-3\cos(t)$

$y=1+4\sin(t)$

Let's solve for $\cos(t)$ in the first equation and then solve for $\sin(t)$ in the second equation.

I will then use the following identity to get right of the parameter, $t$ :

$\cos^2(t)+\sin^2(t)=1$ (Pythagorean Identity).

Let's begin with $x=2-3\cos(t)$ .

Subtract 2 on both sides:

$x-2=-3\cos(t)$

Divide both sides by -3:

$\frac{x-2}{-3}=\cos(t)$

Now time for the second equation, $y=1+4\sin(t)$ .

Subtract 1 on both sides:

$y-1=4\sin(t)$

Divide both sides by 4:

$\frac{y-1}{4}=\sin(t)$

Now let's plug it into our Pythagorean Identity:

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

$\frac{x-2}{-3})^2+(\frac{y-1}{4})^2=1$

$\frac{(x-2)^2}{(-3)^2}+\frac{(y-1)^2}{4^2}=1$

$\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1$

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2 years ago

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What are the coordinates of the vertex of the parabola y=x^2+2x-1

kozerog [31]

Y = x^2 + 2x - 1 = x^2 + 2x + 1 - 1 - 1 = (x + 1)^2 - 2
The vertex of a parabola given by y = a(x - h)^2 + k is (h, k).

Therefore, the vertex of y = (x + 1)^2 - 2 is (-1, -2)

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Solve: 10(1 + 3y) = 20 <br> What does y equal?<br> Y =

marin [14]

Answer:

y = 1/3 ≈ 0.3

hope this helps! :)

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2 years ago

The perimeter of a parallelogram is 56 meters. The width of the parallelogram is 8 meters less than its length. The length of th

EastWind [94]

Answer: 8 Because i do math and got 8

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2 years ago

Given CDEFG ≌ HIJKL and CD = 12, DE = 13, EF = 10, FG = 11, and GC = 8, what is HI?

Licemer1 [7]

CDEFG $\cong HIJKL \Rightarrow\overline{HI}=\overline{CD}$
$\\\Downarrow\\ \overline{HI}=12$

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2 years ago