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antoniya [11.8K]
2 years ago
12

According to astronomers what is a light year

Mathematics
1 answer:
Sindrei [870]2 years ago
6 0
A unit of astronomical distance equivalent to the distance that light travels in one year, which is 9.4607 times 1012<span> km nearly 6 trillion miles.</span>
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state whether the lines represented by the equations y=1/2x-1 and y+4=-1/2(x-2) are paraller, perdendicular, or neither
Brrunno [24]
The easiest way to tell whether lines are parallel, perpendicular, or neither is when they are written in slope-intercept form or y = mx + b. We will begin by putting both of our equations into this format.

The first equation, y =  \frac{1}{2}x - 1 is already in slope intercept form. The slope is 1/2 and the y-intercept is -1.

The second equation requires rearranging.
y + 4 =  -\frac{1}{2}(x - 2) \\ y + 4 = -\frac{1}{2}x + 1 \\ y = - \frac{1}{2} x- 3
From this equation, we can see that the slope is -1/2 and the y-intercept is -3.

When lines are parallel, they have the same slope. This is not the case with these lines because one has slope of 1/2 and the other has slope of -1/2. Since these are not the same our lines are not parallel.

When lines are perpendicular, the slope of one is the negative reciprocal of the other. That is, if one had slope 2, the other would have slope -1/2. This also is not the case in this problem.

Thus, we conclude that the lines are neither parallel nor perpendicular.
8 0
3 years ago
A man can buy 20 mangoes or 30 oranges. If he wants a each amount of each, how many of each would he get? Write an EQUATION to s
DochEvi [55]

Answer:

12

Step-by-step explanation:

In this question, there are two variables: the number of mangoes(y) bought and the number of oranges bought(x).

Let's say the man have z money, mangoes price is \frac{1}{20}z and the oranges price is \frac{1}{30}z. The equation for money and number of mangoes and oranges will be:

money = mango price * mangoes bought + orange price * orange bought

z= \frac{1}{20}z * x + \frac{1}{30}z *y

1= \frac{1}{20}x +\frac{1}{30}y

-\frac{1}{30}y= \frac{1}{20}x -1

y= -1.5x + 30

y= 30 - 1.5x

If he want equal number of mango and orange, that mean y=x. The calculation will be:

y= 30 - 1.5x

x= 30 - 1.5x

x+ 1.5x = 30

2.5x= 30

x= \frac{30}{2.5}= 12

8 0
3 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 111
BabaBlast [244]

Answer:

I’m not sure m a

Step-by-step explanation:

4 0
2 years ago
Find the value of sin’60°+2tan45°-cos30°​
Anton [14]

Answer:

The answer is 2

Step-by-step explanation:

sin60°+ 2 tan45° - cos30°

sin60° = √3/2

2 tan45° = 1

cos30° = √3/2

sin60°+ 2 tan45° - cos30°

√3/2 + 2(1) - √3/2

√3/2 - √3/2 + 2(1)

0 + 2 = 2

Thus, The answer is 2

<u>-TheUnknownScientist</u>

8 0
3 years ago
Find HCF OF 78,175,195​
Veseljchak [2.6K]

Answer:

not possible as you cannot factories any more

7 0
3 years ago
Read 2 more answers
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