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Degger [83]
3 years ago
12

The pair of parametric equations represents a line, parabola, circle, ellipse, or hyperbola.

Mathematics
1 answer:
anygoal [31]3 years ago
6 0

Answer:

Step-by-step explanation:

given that the pair of parametric equations represents a line, parabola, circle, ellipse, or hyperbola.

We are given

x=3cosh (4t) \\y = 4sinh(4t)\\

We know in hyperbolic functions

cosh^2 (4t) -sinh^2 (4t) =1

Using this we can find out

cosh (4t) = \frac{x}{3} \\sinh(4t)=\frac{y}{4}

Using the identity we can say that

\frac{x^2}{9} -\frac{y^2}{16} =1

this is nothing but a hyperbola.

a =3 and b =4

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Perimeter of a square painting is 216 centimeters. How long is each side?
RUDIKE [14]
Perimeter is the addition of all 4 sides and a square as all the same sides. so every side will be the same. so if you divide 216 by 4 you get 54. you can check this by adding 54+54+54+54=216 or 54x4=216
8 0
3 years ago
Sam brought brushes for $8,a palette for $5,and oil paints for $15.He paid 29.82 in all.What sale-tax rate did Sam pay?
sertanlavr [38]
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5 0
4 years ago
at a party, everyone shook hands with everybody else. there were 66 handshakes. How many people shook hands?
Whitepunk [10]

Answer:

12

Step-by-step explanation:

0 + 1 + 2 + 3+ 4 + 5 + 6 + 7 +8 + 9 + 10 + 11 seems to equal 66. That means there are 11 + 1 = 12 people (don’t forget to count the person who shakes 0 hands)

7 0
3 years ago
Type the correct answer in each box.
s344n2d4d5 [400]

The inverse of the function are respectively; f⁻¹(3) = 2 and f⁻¹(8) = 8.5

<h3>How to find the inverse of a Function?</h3>

The formula to find the equation of this function using two coordinates is;

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

Using the first 2 coordinates, we have;

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

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

3y - 3 = 2x + 2

3y = 2x + 5

y = ¹/₃(2x + 5)

Thus, the inverse is;

f⁻¹(x) = (3x - 5)/2

Thus;

f⁻¹(3) = (3*3 - 5)/2

f⁻¹(3) = 2

Similarly;

f⁻¹(x) = (3x - 5)/2

Thus;

f⁻¹(8) = (3*8 - 5)/2

f⁻¹(8) = 8.5

Read more about Inverse of a Function at; brainly.com/question/11735394

#SPJ1

6 0
2 years ago
2x+3x=15 and x+y=6 what is x and y
gulaghasi [49]

Answer: x=3 y=3

Step-by-step explanation:

Assuming you meant 2x+3y=15 as the first problem. You have to make either both the x’s or both the y’all equal in both equations first. Multiply the second equation by 2 (for x’s) and you’ll get 2x+2y=12. The 2x cancels out so you’re left with 3y=15 and 2y=12. Subtract 2y=12 from 3y=15 and you get y=3.

Repeat to figure out x. Multiple second equation by 3 (for equal y’s) and you get 3x+3y=18. This time the first equation is being subtracted from the second one. (3x+3y=18) - (2x+3y=15). Y’s cancel out and you’re left with (3x=18)-(2x=15. Subtract and you get x=3

6 0
3 years ago
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