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natta225 [31]
8 months ago
13

Simplify the expression: 2(5r + 8)

Mathematics
1 answer:
Ganezh [65]8 months ago
8 0

Answer:

2(5r + 8) = 10r + 16

Explanation:

Given the expression:

2(5r + 8)

Remove the parentheses

2 × 5r + 2 × 8

= 10r + 16

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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

5 0
2 years ago
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A right triangle has side lengths 7, 24, and 25 as shown below.
ddd [48]

Answer:

Steps below

Step-by-step explanation:

The value depends on which angle is B, suppose ∠B is the opposite angle of side length 7

sin B = 7/25

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tan B = 7/24

if ∠B opposite to side length of 24

sin B = 24/25

cos B = 7/25

tan B = 24/7

4 0
2 years ago
Can someone help??? Also if it wouldn’t bother can you also state how you got the answer. I don’t quite understand this concept.
Bond [772]

2/3 + x=4

x= 4 - 2/3

= (((4)(3) -2))/3

= (12-2)/3

= 10/3

7 0
3 years ago
7 less than three times m is n
Deffense [45]
If it's 4 less than 2 times a number if would be 
<span>2x - 4</span>
4 0
2 years ago
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What are the solutions of -1 &lt;=x-3&lt;4? help asap ​
viva [34]
I think the answer is -1=x-3<4
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2 years ago
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