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3 years ago

The slope of a line is -4, and the y-intercept is -3. What is the equation of the line written in slope-intercept form?

Mathematics

2 answers:

solong [7]3 years ago

3 0

The last one with both negatives

IceJOKER [234]3 years ago

3 0

The answer is y= -4x - 3

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

Learn more:

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6 0

2 years ago

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Change 5.5 into centimetres

jolli1 [7]

5.5 inches? If so 13.97 cm.

8 0

3 years ago

Can someone answer this question please?

Keith_Richards [23]

Answer:b=2.5555555555...

Step-by-step explanation:9b= -23, 9b/9=b, -23/9=2.55555..., b=2.55555...

6 0

3 years ago

Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of z0 = 5i.

Agata [3.3K]

3 because the 2z minus the 3 gives you 1 rounded

4 0

3 years ago

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What is the probability that a daughter of this mating will be a hemophiliac? Express your answer as a fraction using the slash

schepotkina [342]

Answer:

zero (0)

Step-by-step explanation:

probability of being hemophiliac and daughter is zero because females have 50% chance of being carrier.

where as males have 50% chance of being affected with hemophilia.

example for understanding: if after mating a girl have X chromosomes with hemophilia gene than she might have hemophilia but that is in rear case so probability is zero.

hope you understand my answer, thank you.

4 0

3 years ago