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3 years ago

Find the slope of the line passing through (3,5) and (-4,-10)

Mathematics

1 answer:

Rudiy273 years ago

3 0

Answer:

$\frac{15}{7}$

Step-by-step explanation:

Please see attached picture for full solution.

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If the measure of the angle m is twice the measure of its complement if the given angle is 40 degrees, What is the measure of an

sladkih [1.3K]

C. Because complementary angles are two angles whose sum equals 90 degrees so do 90-40=50 then 50x2= 100

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3 years ago

The sum of 3 consecutive integers is 78. What is the integer closest to zero?

vova2212 [387]

Answer:

Step-by-step explanation:

Let n be the first integer.

Then the second integer will be (n + 1).

And the third will be (n + 2).

The sum is 78. Therefore:

$n+(n+1)+(n+2)+78$

Solve for n. Combine like terms:

$3n+3=78$

So:

$3n=75$

Therefore:

$n=25$

Therefore, the first integer is 25.

So our sequene is 25, 26, and 27.

The integer closest to zero will thus be 25.

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3 years ago

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What is the volume of the figure down below?

11111nata11111 [884]

The answer is C. All calculations of a cone or the cone equal up to 353.77. Hope this helps!

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3 years ago

The volume

Sedaia [141]

$\bf \begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
&& y={{ k }}x
\end{array}\\ \quad \\
$

and also

$\bf \begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
&&y=\cfrac{{{ k}}}{x}
\end{array}
$

now, we know that V varies directly to T and inversely to P simultaneously
thus $\bf V=T\cdot \cfrac{k}{P}$

so $\bf V=T\cdot \cfrac{k}{P}\qquad 
\begin{cases}
V=42\\
T=84\\
P=8
\end{cases}\implies 42=\cfrac{84k}{8}\implies 4=k
\\\\\\
V=\cfrac{4T}{P}\qquad now\quad 
\begin{cases}
V=74\\
P=10
\end{cases}\implies 74=\cfrac{4T}{10}\implies 185=T$

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3 years ago

What is the ratio of 5 gallons blue paint to 9 gallons of yellow paint?

MakcuM [25]

Wouldn't you divide? If so, 5/9 = 0.6

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4 years ago

Read 2 more answers