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4 years ago

Find the slope between (-2,8) and (4,12)

2 answers:

6 0

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{8})\qquad
(\stackrel{x_2}{4}~,~\stackrel{y_2}{12})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-8}{4-(-2)}\implies \cfrac{12-8}{4+2}\implies \cfrac{4}{6}\implies \cfrac{2}{3}$

vova2212 [387]4 years ago

3 0

First of all the equation to find the slope between two points is y2 - y1 over x2 - x1. So, all plugged in, the equation would be 12 -8 over 4 - - 2 and you would end up with 4/6 as your slope.

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There are 340 freshman at BHSS. This is one hundred less than two times the number of sophomores. Find the number of sophomores

natta225 [31]

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340 + 100 = 2x

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3 years ago

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3 years ago

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Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does in an

Rainbow [258]

Douglas invested $ 1300 altogether

Solution:

Let x represent the amount invested in the account paying 14% interest.

Let y represent the amount invested in the account paying 5% interest

He invests three times as much in an account paying 14% as he does in an account paying 5%

Which means,

x = 3y

The simple interest is given by formula:

$S.I = \frac{p \times n \times r}{100}$

Where,

"p" is the principal

"n" is the number of years

"r" is the rate of interest

He earns $152.75 in interest in one year from both accounts combined

Therefore,

Combined S.I = 152.75

n = 1 year

Considering the account earning 14% interest:

$S.I = \frac{3y \times 14 \times 1}{100}\\\\S.I = 0.42y$

Considering the account earning 5% interest:

$S.I = \frac{y \times 5 \times 1}{100}\\\\S.I = 0.05y$

Since, Combined S.I = 152.75

Therefore,

0.42y + 0.05y = 152.75

0.47y = 152.75

Divide both sides by 0.47

y = 325

Therefore,

x = 3y

x = 3(325)

x = 975

how much did he invest altogether?

Amount invested together = x + y = 975 + 325 = 1300

Thus he invested $ 1300 altogether

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3 years ago

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SCORPION-xisa [38]

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4 years ago

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