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Artemon [7]
4 years ago
6

Solve system by elimination y=x^2 y=x+2 SHOW YOUR WORK

Mathematics
1 answer:
Dimas [21]4 years ago
3 0
We have that
y=x²----> equation 1<span>
y=x+2-----> equation 2

multiply equation 1 by -1
-y=-x</span>²

add equation 1 and equation 2
-y=-x²
 y=x+2
------------
0=-x²+x+2-------------> -x²+x+2=0-----> x²-x-2=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²-x)=2
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²-x+0.5²)=2+0.5²

Rewrite as perfect squares

(x-0.5)²=2+0.5²
(x-0.5)²=2.25-----> (x-0.5)=(+/-)√2.25-----> (x-0.5)=(+/-)1.5
x1=1.5+0.5-----> x1=2
x2=-1.5+0.5---- > x2=-1

for x=2
y=x²----> y=2²----> y=4
the point is (2,4)

for x=-1
y=x²----> y=(-1)²---> y=1
the point is (-1,1)

the answer is
the solution of the system are the points
(2,4) and (-1,1)


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4 years ago
A couple is sitting inside a marriage hall, in a row that can accommodate a maximum of six couples. On the right of this couple
NeX [460]

There are 5 couples are sitting in the row

<h3>How many couples are sitting in the row?.</h3>

The given parameters are

Maximum = 6 couples

In the hall, we have the following arrangements

<u>First couple</u>

Right = 2 couples

Left = 1 couple

<u>Another couple</u>

Left = 3 couple

Right = 1 couples

The left of the other couple is the right of the first couple

So, we have the following arrangements:

<u>First couple (1)</u>

Right = 2 couples

Left = 1 couple

<u>Another couple</u>

Right = 1 couples

The total number of couples is

Total = 1 + 2 + 1 + 1

Evaluate the sum

Total = 5

Hence, there are 5 couples are sitting in the row

Read more about combination at:

brainly.com/question/11732255

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4 0
2 years ago
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Dmitrij [34]
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Hope this helps you ^.^ 
And if want to know how maybe I can show you if you want 
7 0
4 years ago
Please answer me this problem!**NO LINKS** Thank you so much if you answer me =D
Igoryamba

Answer:

A.1 1/2

Step-by-step explanation:

just add the 1/4 and 1/4 and u get 2/4 which simplifies to 1/2 so u get 1 1/2

8 0
3 years ago
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