All categories

1 year ago

Consider the parametric equations below.

Mathematics

1 answer:

maksim [4K]1 year ago

3 0

Solve the second equation for $t$ , then substitute it into the first equation.

$y = t + 2 \implies t = y-2$

$x = t^2 - 3 \implies \boxed{x = (y-2)^2 - 3}$

You might be interested in

If the area of a circle is 58 square feet, find the circumference. A. 42.5 ft. B. 4.25 ft. C. 22.35 ft. D. 26.99 ft.

PSYCHO15rus [73]

Answer: OPTION D.

Step-by-step explanation:

The formula for calculate the circumference of a circle is:

$C=2r\pi$

Where <em>r</em> is the radius.

The formula for calculate the area of a circle is:

$A=r^2\pi$

Where <em>r</em> is the radius.

Solve for <em>r</em> from $A=r^2\pi$ to calculate it:

$r=\sqrt{\frac{A}{\pi}}\\r=\sqrt{\frac{58ft^2}{\pi}}\\r=4.296ft$

Subsitute the radius into $C=2r\pi$ . Then:

$C=(2)(4.296ft)\pi=26.99ft$

3 0

3 years ago

Read 2 more answers

What is the product of x+2 and x-7? Write your answer in standard form.

Leto [7]

X^2-5x-14
It is the correct answer I think

5 0

3 years ago

The exponential function y= a(b)^x passes through the points (3,25) and (8,10). Which of the following is closest to the value o

Yuki888 [10]

If the exponential function $y=ab^x$ passes through the points (3,25) and (8,10), the value of b is 0.833

The given exponential equation is:

$y=ab^x$

The function passes through the points (3, 25) and (8, 10)

Substitute x = 3 and y = 25 into the function $y=ab^x$

$25=ab^3$ ............................(1)

Substitute x = 8 and y = 10 into the function $y=ab^x$

$10=ab^8$ .............................(2)

Divide equation (2) by equation (1)

$\frac{10}{25}=\frac{ab^8}{ab^3} \\\\0.4=b^5\\\\b=0.4^\frac{1}{5} \\\\b=0.4^{0.2}\\\\b=0.833$

Therefore, if the exponential function $y=ab^x$ passes through the points (3,25) and (8,10), the value of b is 0.833

Learn more on exponential functions here: brainly.com/question/12940982

6 0

3 years ago

A scientist is studying wildlife in Ohio and she estimates that the population of bats is tripling every year. If she had counte

Sloan [31]

The number of bats that there would be in 2021 would be 768,000.

<h3>What would be the number of bats in 2021?</h3>

The formula that can be used to determine the future value of bats in 2021 is:

FV = P (1 + r)^n

Where:

FV = Future value
P = Present value = 3000
R = interest rate = 300%

N = number of years = 4

3000(1 + 3)^4

3000 x 4^4 = 768,000

To learn more about future value, please check: brainly.com/question/18760477

8 0

2 years ago

Using the table below, write a function rule for the balance in the CD account after any number of years. Let y represent the va

Juli2301 [7.4K]

Answer:

y = 700 +22x

Step-by-step explanation:

The CD account balance is 722 after the first year and increases by $22 each year. The function rule is a linear function with a y-intercept of 700 and a slope of $22 per year.

y = 700 +22x . . . . . . ending balance after x years

8 0

3 years ago