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2 years ago

Find the slope and y-intercept of each equation. Y=-5x+8

Mathematics

2 answers:

Natali [406]2 years ago

8 0

Answer:

Slope= -5

y-intercept=8

Step-by-step explanation:

In the formula y=mx+b

The m is the slope and the b is the y-intercept.

Sladkaya [172]2 years ago

8 0

Answer:

The y intercept is already given. It's (0, 8). As the slope is -5x which is decreasing by five.

Step-by-step explanation:

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Factorise x squared + 3x + 2

Zielflug [23.3K]

Answer:

$(x + 2)(x + 1)$

Step-by-step explanation:

by factorising ;

=》

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2 years ago

A rectangular tank that is 5324 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes

marishachu [46]

Answer:

Side of 22 and height of 11

Step-by-step explanation:

Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:

$V = s^2h = 5324$

$h = 5324 / s^2$

As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank

Base area with open top $s^2$

Side area 4sh

Total surface area $A = s^2 + 4sh$

We can substitute $h = 5324 / s^2$

$A = s^2 + 4s\frac{5324}{s^2}$

$A = s^2 + 21296/s$

To find the minimum of this function, we can take the first derivative, and set it to 0

$A' = 2s - 21296/s^2 = 0$

$2s = 21296/s^2$

$s^3 = 10648$

$s = \sqrt[3]{10648} = 22$

$h = 5324 / s^2 = 5324 / 22^2 = 11$

4 0

2 years ago

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kolbaska11 [484]

Answer:

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Step-by-step explanation:

segment RX is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

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2 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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White raven [17]

Answer:

x=4

Step-by-step explanation:

2/3(x-7)=-2

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2 years ago

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