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3 years ago

1) What is the slope of the line that passes through the pair of points (2, -3) and (5, -4)

Mathematics

1 answer:

Lelu [443]3 years ago

4 0

QUESTION 1: (2, -3) and (5, -4)

Y2 -Y1

X2 -X1

-4 - -3

5 - 2

= - 1

QUESTION 2: (3, -4) Slope = 6

About Point Slope Form:

Y -Y1 = m (x - X1)
m is the slope
Y1 & X1 is a point on the line
The form allows you to identify the slope & the point on the line

Y - -4 = 6 (x - 3)

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Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three

aliya0001 [1]

The volume of a rectangular prism is
V = l · w · h
V= 252 cm3
h= 3 cm
l=5+W
W=x then l=5+x
V=(5+x)*x*3=252
3x^2+15x=252 cm3

the equation that models the volume of the tray in terms of its width, x, in centimeters.
3x^2 +15x=252 cm3

for width=7.5 cm

3x^2 +15x=3*(7.5) ^2+15*7.5= 281.25 cm3

281.25>252  

it is not possible that the width is 7.5 cms

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3 years ago

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Answer:

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Step-by-step explanation:

We are given the following two functions and we are to find $g(x) * f(x)$ :

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$g(x)=(x - 9)^{-1} ( x + 9)$

$g(x)*f(x)=x^{-81} * \frac{x+9}{x-9}$

$g ( x ) * f ( x ) =\frac{(x+9)(x-9)(x+9)}{x-9}$

$g ( x ) * f ( x ) = ( x + 9 ) ( x + 9 )$

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