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mrs_skeptik [129]
3 years ago
8

A triangle has vertices at points (0, 0), (a, b), and (2a, 0). Select all points that lie on the sides of the triangle. A. (a, 0

) B. (0, b) C. (–a, b) D. (a/2,b/2) E. (a/3,b/4)
Mathematics
1 answer:
RSB [31]3 years ago
4 0

Answer:

A. (a, 0)

D. (a/2,b/2)

Step-by-step explanation:

(a, 0) lies on one side of the triangle, because it is between (0,0) and (2a,0)

(0, b) doesn't lie on one side of the triangle, because only the only point with x-coordinate = 0 is (0,0)

(–a, b) doesn't lie on one side of the triangle, because only positive values are valid

Imagine the triangle with vertices (0,0), (a, 0) and (a,b). Let's call β the angle at vertex (0,0)

tan(β) = b/a

For triangle with vertices (0,0), (a/2, 0) and (a/2,b/2)

tan(β) = (b/2)/(a/2) = b/a

then, (a/2,b/2) lies on one side of the triangle

For triangle with vertices (0,0), (a/3, 0) and (a/3,b/4)

tan(β) = (b/4)/(a/3) = (3/4)*(b/a) ≠ b/a

then, (a/3,b/4) doesn't lie on one side of the triangle

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Sever21 [200]

Answer:

b is the amount by which the costs of the stores (i.e. y) will increase whenever the number of customers patron­izing the stores (i.e. x) increases by one.

Step-by-step explanation:

How is the letter b best described?

b is the amount by which the costs of the stores (i.e. y) will increase whenever the number of customers patron­izing the stores (i.e. x) increases by one.

That is, b is the coefficient of letter x and it indicates that whenever there is a one unit increase in the number of customers patron­izing the stores (i.e. x), the costs of the stores (i.e. y) will increase by $2.08.

To give an example, the regression equation in the question is expressed as:

y = a + bx ............................ (1)

Where;

y = the costs of the stores = ?

a = Intercept = $1,496

b = coefficient = $2.08

x = the number of customers patron­izing the stores = ?

Assume x = 1, we can predict y by substituting the values to obtain y1 as follows:

y1 = $1,496 + ($2.08 * 1) = $1,496 + $2.08 = $1,498.08

Now, assume x increases by 1 to 2 i.e. x = 2, we can predict y by substituting the values to obtain y2 as follows:

y2 = $1,496 + ($2.08 * 2) = $1,496 + $4.16 = $1,500.16

The the change is y as a result of one unit increase in x from 1 to 2 can then be obtained as follow:

Change in y = y2 - y1 = $1,500.16 - $1,498.08 = $2.08.

This therefore cofirms that b indicates that whenever there is a one unit increase in the number of customers patron­izing the stores (i.e. x), the costs of the stores (i.e. y) will increase by $2.08.

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3 years ago
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Answer:

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Step-by-step explanation:

7 0
2 years ago
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MA_775_DIABLO [31]

Answer:

A) Between 388 and 450

B) Between 357 and 481

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Step-by-step explanation:

We are given;

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A) From the empirical rule, 68% falls within 1 standard deviation.

Thus, it will be between;

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Thus gives;

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Answer is D the last one

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if you solve for x then the zero is x= -2

if y intercept .. so x = 0 

then point is (0,6)

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Answer:

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Step-by-step explanation:

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