Answer:


Step-by-step explanation:

Completing the square is a process of converting a quadratic equation in standard form into vertex form.
The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

Factor out the coefficient of the quadratic term,

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

Simplify,



The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

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Answer:
adjacent angles are 50° and 130°
Step-by-step explanation:
The sum of all 4 angles in a parallelogram is 360°, so the fourth angle must be ...
360° -310° = 50°
Adjacent angles are supplementary, so the other two angles must be ...
180° -50° = 130°
The angles in the parallelogram are either 50° or 130°. Adjacent angles are different.
Answer:
The answer to your question is vo = 19.62 m/s
Step-by-step explanation:
Data
angle = α = 30°
time = t = 2 s
vo = ?
g = 9.81 m/s²
Formula

Solve for vo

Substitution

Simplification


Result
vo = 19.62 m/s
Answer:
25 Paper Clips
Step-by-step explanation:
100cm is equal to 1 meter. So to find the answer you would need to take the whole of the centimeter (100) and divide that by the paper clips length (4).
100/4 = 25
So, to form a straight line 10 meters long you would need 25 paper clips each 4cm long.
Answer:
w = 31
Step-by-step explanation:
To find the value of w:
We know that the three angles in a triangle add to 180 degrees
w + w + (4w-6) =180
Add like terms
6w-6 = 180
Add 6 to each side
6w -6+6 =180+6
6w = 186
Divide each side by 6
6w/6 = 186/6
w = 31