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enyata [817]
2 years ago
15

Mercury is the closet planet to the Sun at a distance of 36 million miles. The closest star to the Sun is Proxima Centauri, whic

h is 4.24 light years away. A light year is 5.9 ­× 1012 miles.
Mathematics
1 answer:
const2013 [10]2 years ago
6 0
So, if you are trying to convert lightyears to miles, you'll do so with this formula:
mi= (ly)* 5.9e^12, or 59,000,000,000,000. so it would be:
miles=(4.24)(5.9e^12)= roughly 2.5e^13   so Proxima Centauri is   250,000,000,000,000 miles from the Sun
To convert miles to lightyears, you'll just switch them around:
lightyears= (3.6e^6) / (5.9e^12)
Mercury is roughly 0.000006123880 lightyears from the Sun
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9. What is the system of equations that describes the following graph?
jeka94

The graph represented in the figure shows a set of linear equations each of which is represented a straight line.

Step-by-step explanation:

System of Equation can be referred to as an assortment of equations to be dealt with. Common examples include linear equations and non-linear equations such as a parabola, hyperbola etc.

Linear set of equations are the most simple of equation depicting a linear relationship between two variables.

E.g.  Y=4x+3

here y and x share a linear relationship which is defined by the straight-line graph "4x+3"

Similarly in the graph lines, two straight lines are depicted which symbolises that the et of the equation is linear in character.

3 0
3 years ago
Find the value of x for the following equivalent functions: f(x)=2x^2−3x+4 and f(x)=2x^2−1
masha68 [24]
A) y = 2x – 7  and f(x) = 7 – 2xIncorrect. These equations look similar but are not the same. The first has a slope of 2 and a y-intercept of −7. The second function has a slope of −2 and a y-intercept of 7. It slopes in the opposite direction. They do not produce the same graph, so they are not the same function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5. B) 3x = y – 2  and f(x) = 3x – 2Incorrect. These equations represent two different functions. If you rewrite the first equation in terms of y, you’ll find the equation of the function is y = 3x + 2. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5. C) f(x) = 3x2 + 5 and y = 3x2 + 5Correct. The expressions that follow f(x) = and y = are the same, so these are two different ways to write the same function: f(x) = 3x2 + 5 and y = 3x2 + 5. D) None of the aboveIncorrect. Look at the expressions that follow f(x) = and y =. If the expressions are the same, then the equations represent the same exact function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.
3 0
2 years ago
Help. The problem is in the picture
inn [45]

Answer:

The answer to your question is y = 2/3x + 4

Step-by-step explanation:

Data

Equation     y = 2/3 x + 5

New line = ?

Process

Two lines are parallel if the have the same slope. The slope is the coefficient of the x.

1.- Get the slope of the original line

                y = 2/3x + 5

   slope = 2/3

2.- Two find the equation of a parallel line we need to point I will use (0, 4)

Use the point slope formula

               y - y1 = m(x - x1)

               y - 4 = 2/3(x - 0)

               y - 4 = 2/3 x

              y = 2/3x + 4

6 0
3 years ago
Find the area of a rhombus if its diagonals are of lengths 12.8 cm and 8.4cm
Daniel [21]

Area =

\frac{pq}{2}

where p and q are it's diagonal

so according to the rule.

\frac{12.8 \times 8.4}{2}

\frac{107.52}{2}

53.76 \\  \\

is the answer.

<em><u>hope </u></em><em><u>understands </u></em>

4 0
1 year ago
Which expression is equivalent to (4x^(3)y^(5))(3x^(5)y)^(2)
marshall27 [118]

Answer:

(4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7

Step-by-step explanation:

Given

(4x^3y^5)(3x^5y)^2

Required

The equivalent expression

We have:

(4x^3y^5)(3x^5y)^2

Expand

(4x^3y^5)(3x^5y)^2 = 4x^3y^5*9x^{10}y^2

Further expand

(4x^3y^5)(3x^5y)^2 = 4*9*x^3*x^{10}y^5*y^2

Apply laws of indices

(4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7

8 0
3 years ago
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