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3 years ago

What is the equation of the line that passes through the point (-3, 0) and has a slope of -1/3?

Mathematics

1 answer:

ANTONII [103]3 years ago

5 0

Answer:

Y=-1/3x-1

Step-by-step explanation:

Y-0=-1/3(x+3)

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What expression shows 0.624 in expanded form

julia-pushkina [17]

.600 >
.020 > Expanded Form
+ .004 > 
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3 years ago

What is the area of a sector with a central angle of 8 π/11 radians and a radius of 7.2 ft? use 3.14 for π and round your final

coldgirl [10]

Answer:

$59.19 ft^2$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=7.2\ ft$

$\pi =3.14$

substitute

$A=(3.14)(7.2)^{2}$

$A=162.78\ ft^2$

step 2

we know that

The area of a circle subtends a central angle of 2π radians

using proportion

Find out the area of a sector with a central angle of 8 π/11 radians

$\frac{162.78}{2\pi }\frac{ft^2}{rad} =\frac{x}{(8\pi/11)}\frac{ft^2}{rad} \\\\x=162.78(8/11)/2\\\\x=59.19\ ft^2$

7 0

4 years ago

What would the total account value be if i deposited 14,000 into a bank account earning 3.25% compounded quarterly for 4 years?

LUCKY_DIMON [66]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$14000\\
r=rate\to 3.25\%\to \frac{3.25}{100}\to &0.0325\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &4
\end{cases}
\\\\\\
A=14000\left(1+\frac{0.0325}{4}\right)^{4\cdot 4}\implies A=14000(1.008125)^{16}$

7 0

3 years ago

A wheel has a diameter of 28 inches. What is the approximate distance around the outside of the wheel? Use 3. 14 for pi

KonstantinChe [14]

Answer:

87.92

In this case we're trying to find circumference

Formula: c = pi×d

The problem says to use 3.14 for pi

c = 3.14 × 28 = 87.92

3 0

3 years ago

Find sum or difference. -1/2 + 1/3

Free_Kalibri [48]

2/5 is the answer unless your multiplying

6 0

3 years ago

What is the equation of the line that passes through the point (-3, 0) and has a slope of -1/3?​

What is the equation of the line that passes through the point (-3, 0) and has a slope of -1/3?