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NikAS [45]
3 years ago
13

What is the solution set of this system of equations?

Mathematics
2 answers:
damaskus [11]3 years ago
6 0

Answer: Option D

Step-by-step explanation:

So here we have two equations:

y = x^2 - 3x - 4

x = y + 8

In this case, you have two variables, x, and y, and two linear equations that are independent (one is quadratic and the other linear, so this is easy to see) this means that the system has a solution and is unique.

Here you can try all the given options and find that the solution is option D, but let's do the math.

First, we isolate Y in the second equation and get:

y = x - 8

and now we replace it in the first equation to get:

x- 8 = x^2 - 3x - 4

So now we have the equation:

x^2 - 4x + 4 = 0

Here we see that the determinant of this equation:

b^2 - 4*a*c = 4^2 - 4*1*4 = 0

So we have only one solution:

x = -b/2a = 4/2 = 2

now we know the value of x, we can replace it in the second equation and get:

2 = y + 8

y = 2 - 8 = -6

So the solution is x= 2 and y = -6,

Annette [7]3 years ago
4 0

Answer:

Option: d is the correct answer.

The solution set of this system of equations is:

            d.   {(2, -6)}

Step-by-step explanation:

We are given a system if equations by:

        

and  

i.e.

Also, from equation (2) we get:

Hence, the solution set is:  {(2,-6)}

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Zachary is solving the following equation.
Monica [59]

Answer: C. Distribute 3/4 over (x-8)

Step-by-step explanation:

To solve any(technically most, but still...) algebraic equation you must isolate the variable.  In this case, the first step would either be to divide both sides of the equation by 3/4, or distribute 3/4 to x and -8, as you cannot modify the contents of the parenthesis without removing the 3/4.

Hope it helps and lmk if you further explanation <3 :)

5 0
3 years ago
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What is the value of h?
emmainna [20.7K]
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If you rearrange this you will get h = 180° - 60° - 40°, this will give you: h = 80°.
Hope this helps
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2 years ago
Image point N'(12, -6) was dilated from the pre-image point N(4, -2). What was the scale factor used?
skelet666 [1.2K]
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7 0
3 years ago
Why is it better to use the metric system, rather than the English system, in scientific measurement?
Dahasolnce [82]

Answer:

Because the metric system is acknowledged by all countries except for the US, therefore, to put it only in a format understood by Americans would make it harder for the larger population of the scientific community to understand. If it's in the metric system, it can easily be understood for peer review and or involvement

3 0
3 years ago
In circle A shown below, the measure of ∠BAD is 148°: Circle A with angle BAD measuring 148 degrees; points B, C, D lie on Circl
german

Answer:

52°

Step-by-step explanation:

In the figure attached, Circle A is shown. There we can see that:

∠BC + ∠CD =  ∠BAD

We know that Arc BC measures 96° and arc BAD measures 148°. Replacing this data into the equation and solving for Arc CD, we get:

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5 0
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