Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$\left(y-\dfrac{4}{5}\right)^2+\left(x+\dfrac{7}{10}\right)^2=30$

View step-by-step help

View step-by-step help

Convert, compare, add, and subtract mixed customary units

Full solution

Q.

\left(y-\dfrac{4}{5}\right)^2+\left(x+\dfrac{7}{10}\right)^2=30

Identify Circle Equation: Identify the general form of the circle equation and compare it to the given equation. $\newline$ The general form is $(y - k)^2 + (x - h)^2 = r^2$ , where $(h, k)$ is the center and $r$ is the radius. $\newline$ Given equation: $\left(y-\dfrac{4}{5}\right)^2+\left(x+\dfrac{7}{10}\right)^2=30$
Determine Center: Determine the center $(h, k)$ of the circle from the equation. $\newline$ From the equation, $h = -\dfrac{7}{10}$ and $k = \dfrac{4}{5}$ . $\newline$ So, the center is $\left(-\dfrac{7}{10}, \dfrac{4}{5}\right)$ .
Calculate Radius: Calculate the radius $r$ of the circle. $\newline$ The radius squared $r^2$ is given as $30$ . $\newline$ To find $r$ , calculate the square root: $r = \sqrt{30}$ .

More problems from Convert, compare, add, and subtract mixed customary units

Question

\newline

1

2

\_\_\_\_\_

Posted 1 month ago

Question

710

milliliters of energy drink yesterday. How many liters of energy drink did he consume?

\newline

(Round your answer to the nearest hundredth of a liter.)

Posted 2 months ago

Question

A real estate purveyor purchases a

60

000

\left(\mathrm{ft}^{2}\right)

warehouse and decides to turn it into a storage facility. The warehouse's width is exactly

\frac{2}{3}

of its length. What is the warehouse's width? Round your answer to the nearest foot.

Posted 2 months ago

Question

3

cups (c) of flour to bake

2

loaves of bread. If

1

pound (lb) of flour is equivalent to

3 \frac{1}{3} \mathrm{c}

, how many loaves of bread can the baker make with a

10 \mathrm{lb}

\newline

(Round the answer to the nearest whole number.)

Posted 1 month ago

Question

\$ 2500

into a savings account.

\newline

The relationship between the time,

t

, in years, since the account was first opened, and Ella's account balance,

B(t)

, in dollars, is modeled by the following function.

\newline

B(t)=2500 \cdot e^{0.025 t}

\newline

What will the balance of Ella's savings account be after

4

years? Round your answer, if necessary, to the nearest hundredth.

\newline

\$

Posted 2 months ago

Question

Maya needs to rent a car while on vacation. The rental company charges

\$17.95

18

cents for each mile driven. If Maya only has

\$40

to spend on the car rental, what is the maximum number of miles she can drive?

\newline

\newline

(Round your answer down to the nearest whole mile)

Posted 2 months ago

Question

What is the area of a circle whose circumference is

1447

\pi=3.14

166698.73\,\text{m}^2

Posted 2 months ago

Question

What is the area of a circle whose circumference is

1447

\pi = 3.14

166698.73 \, \text{m}^2

Posted 2 months ago

Question

13

feet to meters using

3.281

1

\newline

Round answers to hundredths of meters (or

2

decimal places)

Posted 2 months ago

Question

14

feet to meters using

3.281

1

\newline

Round answers to hundredths of meters (or

2

decimal places)

Posted 2 months ago