What is an equation in point-slope form of the line that passes through the point (4, −1) and has slope 6?

Find the value of x, rounded to the nearest tenth <br> A. 24.5<br> B. 18<br> C. 16.1<br> D. 2

Strike441 [17]

Answer:

B. 18

Step-by-step explanation:

Given:

There are two chord in the circle.

These chords are divided in two segments.

Segments of 1 chord is 21 and 6.

Segments of 2 chord is x and 7.

Now by using Intersecting Chord Theorem which states,

"When two chords intersect each other inside a circle, the products of their segments are equal."

Hence from above theorem we can say that;

$x\times7=21\times6\\7x = 126\\x= \frac{126}{7}\\x=18$

Hence the Value of x is 18.

8 0

2 years ago

A person invests $4000 at 2% interest compounded annually for 4 years and then invests the balance (the $4000 plus the interest

faltersainse [42]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4000\\
r=rate\to 2\%\to \frac{2}{100}\to &0.02\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &4
\end{cases}
\\\\\\
A=4000\left(1+\frac{0.02}{1}\right)^{1\cdot 4}\implies A=4000(1.02)^4\implies A\approx 4329.73$

then she turns around and grabs those 4329.73 and put them in an account getting 8% APR I assume, so is annual compounding, for 7 years.

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4329.73\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &7
\end{cases}
\\\\\\
A=4329.73\left(1+\frac{0.08}{1}\right)^{1\cdot 7}\implies A=4329.73(1.08)^7\\\\\\ A\approx 7420.396$

add both amounts, and that's her investment for the 11 years.

7 0

3 years ago

Which of the graphs below would result if you made the leading term of the

solong [7]

Answer:

A

Step-by-step explanation:

It goes up and down due to the x^3 then the 3x^2

4 0

2 years ago

Why is there no commutative property for subtraction and division

Bezzdna [24]

There is no commutative property for subtraction and division because order does matter. 6 - 5 will not give you the same answer as 5 - 6.

5 0

3 years ago

Which math property is used in the expression below?

worty [1.4K]

Answer:

Distributive

Step-by-step explanation:

3 0

2 years ago

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