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3 years ago

Which answer is in slope-intercept form for the given equation?

Mathematics

1 answer:

zhuklara [117]3 years ago

6 0

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept

Answer:

B. y = 4/9x + 4

slope = 4/9, y-intercept = 4

D. y = -4/9x - 4

slope = -4/9, y-intercept = -4

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The distance between 5,-8 and 5,7 hurry please

solmaris [256]

Answer:

it should be 15

Step-by-step explanation:

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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.

It is assumed that weight of pyramid is proportional to its volume.

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, $w = k*(\frac{1}{3}* a* h)=400$

Since, base and height of small pyramid and original pyramid are in proportion.

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:

brainly.com/question/17950304

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2 years ago

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The probability distribution for the number of goals the Lions soccer team makes per game is given below. Number of Goals Probab

steposvetlana [31]

Answer: d. 0.55

Step-by-step explanation:

The given probability distribution:

Number of Goals 0 1 2 3 4

Probability .05 .15 .35 .30 .15

The probability that in a given game the Lions will score less than 3 goals

= probability that in a given game the Lions will score less than or equal to 2

= 0.5+0.15+0.35

= 0.55

Hence, the correct option is d. 0.55

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3 years ago

GIVING BRAINLIEST!!!!!! 32+4X(16 x 1/2)-2 show your work

belka [17]

The answer should be 62

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3 years ago

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A hat contains four balls. The balls are numbered 2, 4, 4, and 7. One ball is randomly selected and

vfiekz [6]

Answer:

If the sum is 6, a small cone will be ordered.
If the sum is 8 or 9, a medium cone will be ordered.
If the sum is 11, a large cone will be ordered.

Step-by-step explanation:

The table below shows the possible outcomes from drawing two balls. We see the relative frequencies to be ...

6: 4

8: 2

9: 2

11: 4

To make a fair decision, we want the relative frequencies of the decision possibilities to be the same. If we combine sums 8 and 9 to one category (medium cone, for example), then 6, (8 or 9), and 11 will all have the same relative frequency: 4.

The appropriate "fair decision" choice is ...

6: small cone

8 or 9: medium cone

11: large cone

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4 years ago