(a) Find the slope of the line through (-9, -7) and (-19. -47).

Mathematics

2 answers:

wariber [46]2 years ago

5 0

Y2-y1/x2-x1= -47-(-7)/-19-(-9)= 4

Marta_Voda [28]2 years ago

3 0

Answer:

Step-by-step explanation:

The equation for slope is:

$Slope = \frac{y_2-y_1}{x_2-x_1}$

We can plug in the given points into the equation:

$Slope = \frac{-47-(-7)}{-19-(-9)}=\frac{-47+7}{-19+9}=\frac{-40}{-10}=4$

The slope is 4

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Sedaia [141]

Answer:

$\huge\boxed{\sf Volume = 384 \ cm^3}$

Step-by-step explanation:

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$\sf c^2 = a^2 + b^2 \\\\Where \ c = 10\ cm , b = 6\ cm [Half of 12] \ and \ a \ is \ height\\\\10^2 = a^2 + 6^2\\\\100=a^2 +36\\\\100-36 = a^2\\\\64 = a^2\\\\Taking \ sqrt \ on \ both \ sides\\\\Height= 8 \ cm$

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<u>Now, Finding the volume:</u>

$\sf Volume = a^2 \frac{h}{3}\\\\ Where \ a \ is base \ edge \ and \ h \ is \ height\\\\Volume = (12)^2 \frac{8}{3} \\\\Volume = 144 \frac{8}{3} \\\\Volume = 48*8\\\\\bold{Volume = 384 \ c m^3}$