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2 years ago

What is the equation of a line that passes through the points (3, 6) and (8, 4)?

Mathematics

1 answer:

romanna [79]2 years ago

5 0

9514 1404 393

Answer:

y = -2/5x +36/5 . . . . . slope-intercept form

2x +5y = 36 . . . . . . . . standard form

Step-by-step explanation:

You can use the 2-point form of the equation of a line to find it.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (4 -6)/(8 -3)(x -3) +6

y = -2/5(x -3) +6

y = -2/5x +36/5 . . . . slope-intercept form

2x +5y = 36 . . . . . . . standard form

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A fish tank has a base area of 45cm2 and is filled with water to a depth of 12cm.If the height of the tank is 25cm, how much wat

stepladder [879]

Answer:

Step-by-step explanation:

v = 45 * 12

v = 540cm³

To fill the tank,

v = 45 * 25

v = 1,125cm³

I'm not quite sure what the exact question is so i'll answer both;

1.) The volume of water required to fill the tank from empty = 1,125cm³

2.) The volume of water required to fill the tank from it's current level is

1,125cm³ - 540cm³ = 585cm³

6 0

2 years ago

Solve for s<br> -24-6s=-42

erastovalidia [21]

Answer

S=3

Step-by-step explanation:

add 24 to both sides, then you subtract -42+24 take sign of the larges which is negative and youll get -6s=-18 divide -6 to both sides and you will get S=3

7 0

2 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

Fed [463]

Answer:

Step-by-step explanation:

6 0

2 years ago

Show your work please.

Kruka [31]

Answer:

Tauren has 78 keychains

James has 34 keychains

Marcus has 68 keychains

Yahya has 74 keychains

Step-by-step explanation:

I got this answer by doing this:

If Tauren has 78 keychains then its gonna be left like that.

If everybody else has an average of 68 keychains then divide 68 by 2 to get half of what marcus has which equals 34.

Then add the amount of James and marcus keychains which is 68 plus 34 which equals 102, the subtract the 28 because it says Yayha has 28 fewer keychains and that equals 74.

3 0

3 years ago

Janet deposited $9,600 into an account that pays 4.4 interest, compounded daily. At the end of nine months, how much interest ha

neonofarm [45]

bearing in mind that 9 months is not even a year, but since there are 12 months in a year, then 9 months is really 9/12 years.

$\bf ~~~~~~ \stackrel{\textit{daily}}{\textit{Continuously}} \textit{Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$9600\\ r=rate\to 4.4\%\to \frac{4.4}{100}\dotfill &0.044\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases} \\\\\\ A=9600e^{0.044\cdot \frac{3}{4}}\implies A=9600e^{0.033}\implies A\approx 9922.09 \\\\\\$

$\bf \stackrel{\textit{interest earned}}{9922.09-9600\implies 322.09}$

5 0

3 years ago