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2 years ago

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What is the slope of the line whose equation is y−4= StartFraction 5 Over 2 EndFraction.(x−2)? A coordinate plane with a line pa

ssing through the points (0, negative 1) and (2, 4).

1 answer:

Katarina [22]2 years ago

8 0

The slope of the given line is 5/2.

<h3>How to get the slope of the line?</h3>

The general linear equation can be written in the slope-intercept form as:

y = a*x + b

where a is the slope.

Here we have the equation:

y - 4 = (5/2)*(x - 2)

If we isolate y and expand the product in the right, we get:

y = (5/2)*(x - 2) + 4

y = (5/2)*x - (5/2)*2 + 4

y = (5/2)*x - 5 + 4

y = (5/2)*x - 1

This is the linear equation in the slope-intercept form, as you can see, the slope is equal to 5/2.

If you want to learn more about linear equations:

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Complete this expression using the distributive property

Aneli [31]

Answer:

5(4) + 5(8)

Step-by-step explanation:

Through destributive property, 5 is multiplied by both 4 and 8

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Which of the following sets of ordered pairs could represent a function to

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Step-by-step explanation:

As long as you don't see the same x value giving different y values, it'll be a function.

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3 years ago

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a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base s

slavikrds [6]

A structure which has a square base and four triangular sides meeting at a point is called pyramid.

At distance of 3.97 feet from its vertex , pyramid is cut by plane so that the two solids of equal weight will be formed.

<u>It is assumed that weight of pyramid is proportional to its volume.</u>

So, $w = k V$ , where V is volume of original pyramid and v is volume of small pyramid and k is constant.

Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.

Assume that base area of original pyramid is A and base of small pyramid is a.

Volume of original pyramid is, $V= \frac{1}{3} *A* 5$

So, weight of original pyramid, $W = k *(\frac{1}{3} *A* 5) = 800$

Volume of small pyramid is, $v = \frac{1}{3}* a* h$

So, weight of small pyramid, $w = k*(\frac{1}{3}* a* h)=400$

<u>Since, base and height of small pyramid and original pyramid are in proportion.</u>

So, $\frac{a}{A} = (\frac{h}{5}) ^{2}$

$a = (\frac{h}{5} )^{2}A$

Substituting value of a in equation $k*(\frac{1}{3}* a* h)=400$

So, $k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400$

$(k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400$

Since, $(k *\frac{1}{3} *A* 5) = 800$ , substitute in above equation.

So, $800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet$

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2 years ago

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The width of a rectangle is 4 inches greater than half the length. The perimeter is 56 inches. What is the length and the width

yulyashka [42]

Answer:

Length of the rectangle = 16 inches

Width of the rectangle = 12 inches

Step-by-step explanation:

Let the length of the rectangle be represented by x.

Then width can be expressed as $\[\frac{x}{2}+4\]
$

Perimeter of a rectangle is the sum of four sides of the rectangle.

This can be expressed as 2*(length + breadth)

= $2* (x + \frac{x}{2}+4)$

= $2* (\frac{3x}{2}+4)$

= $3x + 8$

But perimeter is given as 56.

So, $\[3x + 8 = 56\]
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=> $3x = 48$

=> $x = 16$

Hence length of the rectangle = 16 inches

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3 years ago

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Please help as quick i will give brainliest !

lilavasa [31]

Answer:

b

because in negative there is small number is big

Step-by-step explanation:

hope it help you

now please mark me as brainliest

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