The points (-7,-1) and (-8,6) fall on a particular line. What is its equation in point-slope form?

Mathematics

1 answer:

Arisa [49]3 years ago

3 0

Answer:

y - 6 = -7(x + 8)

Step-by-step explanation:

Slope: m = (y2-y1)/(x2-x1) = (6 - -1)/(-8 - -7) = (6 + 1)/(-8 + 7) = 7/-1 = -7

Point-slope form: y - 6 = -7(x - -8)

=> y - 6 = -7(x + 8)

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Leslie ran 3 mile race. The second mile took her 10 percent longer than the first one and the third mile took her 24 seconds lon

Brilliant_brown [7]

Answer:

8.8 Minutes or 528 Second.

Step-by-step explanation:

↓[ Read Below ]↓

Important Info:

Leslie Ran 3 Mile Race.

2nd Mile = 10% longer than 1st and 3rd Miles took her 24s longer than 2nd Mile

Question to Answer:

Leslie’s total time for the race was 26 minutes how long did the second mile take her?

Explanation/Solution:

Let for first mile, she took x minutes . And second mile took her 10 percent longer, so second mile took

x+ 10/100x = 110/100x=1.1x

And the third mile took 24 seconds longer as compared to second mile .

So third mile took

1.1x+24/60 = (1.1x+0.4) Minutes

And the total time for the race was 26 minutes, that is

x+1.1x+1.1x+0.4=26

3.2x=26-0.4

3.2x=25.6

x= 25.6/3.2 = 8 Minutes

So the first mile took 8 minutes. And therefore second mile took

= 1.1 (8) = 8.8 Minutes

Also Equal to 528 Second.

[RevyBreeze]

4 0

2 years ago

ABC Bank offers a savings account of 4.5% compounded quarterly. Find the APY the bank’s savings account offers

charle [14.2K]

$\bf ~~~~~~~~~~~~ \textit{Annual Yield Formula}
\\\\
~~~~~~~~~~~~ \left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 4.5\%\to \frac{4.5}{100}\to &0.045\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4
\end{cases}
\\\\\\
\left(1+\frac{0.045}{4}\right)^{4}-1\implies 1.01125^4-1~~\approx~~ 0.045765
\\\\\\
0.045765\cdot 100~~\approx~~ \stackrel{\%}{4.58}$