3 years ago

Help please asap 10 points

Mathematics

1 answer:

insens350 [35]3 years ago

8 0

Answer:

apple

Step-by-step explanation:

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There were 20 gallons of gasoline in your car's gas tank. You used 4 gallons and 1 quart. How much gasoline remains in the tank?

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Directed line segment DE has endpoints D(-4,-2) and E(1,8). Point F divides DE such that DF:FE is 3:2What are the coordinates of

VMariaS [17]

The Solution.

The given points are

$D(-4,-2)\text{ and E(1,8)}$

The formula is

$\frac{mx_2+nx_1}{m+n}_{},\frac{my_2+ny_1}{m+n}$

In this case,

$m=3,n=2$

Therefore,

$\begin{gathered} (\frac{mx_2+nx_1}{m+n}_{},\frac{my_2+ny_1}{m+n}) \\ =(\frac{3(1)+_{}2(-4)_{}}{3+2}_{},\frac{3(8)_{}+2(-2)_{}}{3+2}) \\ \end{gathered}$ $=(\frac{3-8}{5},\frac{24-4}{5})=(-\frac{5}{5},\frac{20}{5})$ $=(-1,4)$

Hence, the correct answer is (-1, 4) (option 3)

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1 year ago

Evaluate arithmetic series:-<br><br> Step-by-step answer, please!

lorasvet [3.4K]

Let's see

$\\ \rm\Rrightarrow {\displaystyle{\sum^{275}_{k=1}}}(-5k+12)$

$\\ \rm\Rrightarrow (-5(1)+12)+(-5(2)+12)\dots (-5(275)+12)$

$\\ \rm\Rrightarrow 7+5+3+2+1+\dots -1363$

a=7
l=-1363
n=275

Sum:-

$\\ \rm\Rrightarrow S_n=\dfrac{n}{2}[a+l]$

$\\ \rm\Rrightarrow \dfrac{275}{2}(7-1363)$

$\\ \rm\Rrightarrow \dfrac{275}{2}(-1356)$

$\\ \rm\Rrightarrow 275(-678)$

$\\ \rm\Rrightarrow -186450$

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I hope that was helpful

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3 years ago

Just want to double check if I'm correct? Tysvm!

kakasveta [241]

Answer: Yes, you're right.

Step-by-step explanation:

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