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maw [93]
3 years ago
5

Which of the following best describes the solution to the system of equations below?

Mathematics
1 answer:
liraira [26]3 years ago
5 0

For this case we have the following system of equations:

6x + 3y = 6\\6x + 3y = 14

We multiply the first equation by -1:

-6x-3y = -6

We have the following equivalent system:

-6x-3y = -6\\6x + 3y = 14

We add the equations:

-6x + 6x-3y + 3y = -6 + 14\\0 = 8

Equality is not fulfilled, so the system of equations has no solution.

Answer:

Option C

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The main cables of a suspension bridge are ideally parabolic. the cables over a bridge that is 400 feet logn are attached to tow
Novay_Z [31]
Consider the diagram of the problem.

Let the vertex be on the y axis, exactly, at the point (0, 40)

Another point of this parabola is (200, 100), as can be checked from the figure.

The vertex form of the equation of a parabola is :

y=a(x-h)^{2}+k, where (h, k) is the vertex of the parabola, 

replacing (h, k) with (0, 40), we have:

y=ax^{2}+40

to find a, we substitute (x, y) with (200, 100):

100=a200^{2}+40

40,000a=60

a=60/40,000=3/(2,000)

So, the equation of the parabola is y= \frac{3}{2000} x^{2}+40

4 0
3 years ago
How are operations with variables like operations with real numbers?
amid [387]

Answer:

The relation between inputs and outputs is given by an equation called the equation of function. Since the outputs are also real values, hence, reasoning by analogy, you may use the arithmetical operation between functions (addition, subtraction, multiplication, division) to produce new functions.

6 0
3 years ago
What is the area of the figure?
zalisa [80]

Answer: 57 ft²

Step-by-step explanation:

Find the areas of the two individual rectangles and then add that up to find the area of the figure:

Rectangle A:                                                             Rectangle B:

= Length * Width                                                       = 11.5 * 3

= 7.5 * 3                                                                     = 34.5ft²

= 22.5 ft²

Area of figure:

= 22.5 + 34.5

= 57 ft²

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