Use method of completing the square to transform quadratic equation into form (x+p)^2=q.

Mathematics

1 answer:

nydimaria [60]3 years ago

8 0

Answer:

2(x +1/2)^2 = -1/2

Step-by-step explanation:

The steps generally will be ...

1. subtract the constant

2x^2 +2x = -1

2. factor out the leading coefficient on the left

2(x^2 +x) = -1

3. add the square of half the x-coefficient inside parentheses, and an equal quantity on the other side of the equal sign

2(x^2 +x +1/4) = -1 +2(1/4)

4. simplify and write in the required form

2(x +1/2)^2 = -1/2

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What is true when the plane is 100 meters away from takeoff? Check all that apply. The given information is the SSS case. The gi

givi [52]

Two triangle are congruent when the shape and size of both the triangle are same. The given information is the SAS case.

To find the form of the case we need to know about the triangle congruence theorem.

<h3>What is triangle congruence theorem?</h3>

Two triangle are congruent when the shape and size of both the triangle are same.

Triangle congruence theorem are-

Angle-Side-Angle theorem (AAS)- This theorem states that two triangle is congruent when two angle and one side of the triangle are respectively equal to the two angles and same side of the other triangle.

Side-Side-Side theorem (SSS)- When the three sides of the one triangle is equal to the three sides of the other triangle respectively, then the triangle are congruent.

Side-Angle-Side theorem (SAS)- Two sides and the included angle of are equal to the two sides and one angle of other triangle respectively.

Given information-

Evelyn is 104 meters from the take off.

The angle of elevation of the plane is 12°.

The plane is 100 meters away from the takeoff point.

The distance is 100 meters and 104 meters. The other two sides , as are same and the angle of elevation is also same for this case (12 degrees).

Thus the two triangle formed which are congruent.

As above discussed the case of SAS exists for the triangle congruence theorem.

Hence the given information is the SAS case.

Learn more about the triangle congruence theorem here;

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2 years ago

Read 2 more answers

How do you graph this ?

ANTONII [103]

Which one?
Go to www.mathpapa.com and put this in "y = −2x − 4; y = 2x − 4" That is 1st
For 2nd put this in "y = 1/2x + -11/2; y = -2x + 2"

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