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3 years ago

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1. A line contains the points (−12,−60) and (60,− 42). What is the slope of the line in simplified form? PLEASE HELP QUICKLY!!!!

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 20 points

1 answer:

Galina-37 [17]3 years ago

8 0

Answer:

the answer should be 0.25

formula for slope is m=(y2-y1)/(x2-x1)

therefore m=(-42-(-60))/(60-(-12))

(-42+60)/(60+12)

18/72

simplify

1/4

further simplify

0.25 should be the final answer

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beks73 [17]

Answer:

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Step-by-step explanation:

Plot following points.

Calculate the point by plugging in values of x into x^2 + 1

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When you plot the points you'll see the graph is U shaped.

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13<br> 5<br> 11<br> True/False...the given triangle is a right triangle.<br> O True<br> O False

Gala2k [10]

Answer:

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Step-by-step explanation:

11 times 11 is 121

5 times 5 is 25

13 times 13 is 169

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3 years ago

Mary Ann was born when her mother, Susan, was 32 years old. Which equation relates Mary Ann's age (r) to Susan's age (s)?

Jet001 [13]

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2 years ago

Iridium -192 has a half life of 74 days after 148 days, how many milligrams of 900 mg sample will remain?

Ad libitum [116K]

$\bf \textit{Amount for Exponential Decay using Half-Life}
\\\\
A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &900\\
t=\textit{elapsed time}\to &148\\
h=\textit{half-life}\to &74
\end{cases}
\\\\\\
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3 years ago

The two rectangular prisms are similar. What is the volume of the larger rectangular prism?

Brums [2.3K]

The question is missing the figure which is attached below.

Answer:

1620 cm³

Step-by-step explanation:

Given:

The two prisms are similar.

Volume of the smaller prism (V₁) = 60 cm³

Length of the smaller prism (l₁) = 5 cm

Length of the larger prism (l₂) = 15 cm

Now, we know that, for similar figures, the dimensions of the figure are in proportion to each other. Therefore,

$\frac{l_2}{l_1}=\frac{b_2}{b_1}=\frac{h_2}{h_1}=k(constant)\\\\Where,\\b_1,b_2\to\ widths\ of smaller\ and\ larger\ prisms\ respectively\\\\h_1,h_2\to\ heights\ of\ smaller\ and\ larger\ prisms\ respectively$

$\frac{l_2}{l_1}=\frac{15\ cm}{5\ cm}=3\\\\\therefore\ k=3$

This means that, the smaller figure is dilated by a scale factor of 3.

Hence, $l_2=3l_1,b_2=3b_1,h_2=3h_1$

Volume of smaller prism is given as:

$V_1=l_1b_1h_1\\\\l_1b_1h_1=60\ cm^3$

Volume of larger prism is given as;

$V_2=l_2b_2h_2\\\\V_2=3l_1\times 3b_1\times 3h_1\\\\V_2=27(l_1 b_1h_1)\\\\V_2=27\times 60=1620\ cm^3\ \ \ \ [\because\ l_1b_1h_1=60\ cm^3]$

Therefore, the volume of the larger rectangular prism is 1620 cm³.

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2 years ago