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Agata [3.3K]
3 years ago
7

Write -3x^2-18-31 in vertex form.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0
Get into form a(x-h)²+k

complete the square

-3x²-18x-31
group x terms
(-3x²-18x)-31
undistribute the -3
-3(x²+6x)-31
take 1/2 of the linear coefient (6) and squaer it
6/2=3, 3²=9
add positive and negative of it inside parenthasees
-3(x²+6x+9-9)-31
complete the square
-3((x+3)²-9)-31
expand
-3(x+3)²+27-31
-3(x+3)²-4 is vertex form
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1. Complete this statment: A polygon with all sides the same length is said to be____
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Answer:

Q1. Regular (A)

Q2. 105° (C)

Q3. x=45°

Step-by-step explanation:

Q1. A regular polygon is a polygon with all sides and angles equal.

Q2. The sum of the measure of exterior angles of a polygon is always 360°. Therefore,  360°-255°=105°

Q3. 148°+112°+(2x+10)°+(2x)°+90°= Sum of angles in a pentagon.

<u><em>Note</em></u>: The square at the fifth angle shows that its a right angle which is 90°. Also all the angles are equal to the sum of angles in a pentagon 'cause the polygon has 5 sides ( a pentagon).

Sum of interior angles of a polygon is: (n-2)180°. Where "n" is the number of sides of the polygon.

Therefore the sum of interior angles is (5-2)180°=540°

solving the equation you have;

360°+4x=540°

4x=540°-360°

4x=180°

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x=45°

therefore x=45°

8 0
3 years ago
What is the area of a regular pentagon with a side of 7.2 and an apothem of 7
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</span>area = (½)(apothem<span>)(perimeter)
</span>
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43.95 but it’s 15% of 293.00
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