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2 years ago

B The lines are translations of each other

Mathematics

1 answer:

maw [93]2 years ago

5 0

Answer:

A, B, E

Step-by-step explanation:

The slope is the same (1/4x)

it is a translation given the y intercept moved it 5 units

they are both positive

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Bingel [31]

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3 years ago

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At the beginning of the month,Kimberly had $65.78. Since then,she has received three payments of $32.50 from her babysitting job

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3 years ago

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Parking at a large university has become a very big problem. University administrators are interested in determining the average

Oduvanchick [21]

Answer:

The 260 students that are followed.

Step-by-step explanation:

According to the situation explained in the question, the university administration is trying to collect data on the students' parking times to figure out a solution for the parking problem in the university.

After following and collecting data from 260 students, the population of interest to the university administration should be the all 260 students that the data is collected from because population of interest describes a "population" that are being studied and having data collected from them.

I hope this answer helps.

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3 years ago

Each set of numbers below represents the lengths of three line segments. Which set represent line segments that could be connect

LenKa [72]

Answer:

B is the triangle

A and E can be thought of as triangles as well with angles 0°, 0° and 180°, but it will be just a line with 3 points. So it depends whether this is a question with multiple answers or not.

Step-by-step explanation:

Thinking Process:

We need to find a formula for a triangle that uses all the sides

Cosine rule uses all sides:

$c^2 = a^2 + b^2 -2ab(cosA)$

we can rearrage this formula and make the angle $A$ the subject:

$A = cos^{-1}(\frac{a^2+b^2-c^2}{2ab})$

now you can just put the values from each option in the question into this formula and see if it gives an answer or not.

Try A. (1,2,3)

put a = 1, b = 2, c = 3 (keep in mind that you can take 'a' 'b' and 'c' as 3,2 and 1 or any other arrangement within the option A(1,2,3). All we are doing here is checking whether the answer exists or not)

$A = cos^{-1}(\frac{1^2+2^2-3^2}{2(1)(2)})$

$A = 180$ , now graphically it seems that this is just a line with 3 points, or technically you can think of as the sides of the triangle are overlapping each other, and the angle between the sides is 0 0 and 180. It depends on whether the question is asking you to be technical or not. Since the question already stated there are 3 line segments, so we can think of it as a triangle.

Try B.(3,4,5)

$A = cos^{-1}(\frac{3^2+4^2-5^2}{2(3)(4)})$

$A = 90$ , this is a triangle (specifically, this is a right angled triangle)

Try C.(1,10,100)

$A = cos^{-1}(\frac{1^2+10^2-100^2}{2(1)(10)})$

from the calculator you'll see a 'math error', this shows that there is no answer, because $cos^{-1}$ can only accept values within -1 and 1 inclusive. Hence no such triangle exists with lengths (1,10,100).