Answer:
- area = 14 square units
- perimeter = 19.1 units
Step-by-step explanation:
The base of the triangle extends from x=2 to x=6, a distance of 4 units.
The height of the triangle is 9 - 2 = 7 units.
Then the area is ...
A = (1/2)(4 units)(7 units) = 14 units^2
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The length of the hypotenuse is given by the Pythagorean theorem.
h^2 = 4^2 +7^2 = 16 +49 = 65
h = √65 ≈ 8.1
The perimeter is the sum of the side lengths:
P = 4 + 7 + 8.1 = 19.1 . . . units
Answer:
2 over 6 as a fraction simplifies as 1 over three.
Step-by-step explanation:
If you are writing as a fraction, you put 2 over 6 and simplify. Your answer is 1 over 3
Y=15+5g
Y is the total cost in one month. 15 is the cost of the membership and 5 is the amount you paid to see the game. G is the variable for the amount of games. You multiple the g by 5 to get the total cost of games per a month that you went and saw. Than you add the base cost of 15 or your starting point. And you get your total cost.
Explanation:
Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.
Assume the quadratic equation to be
where x is the variable.
Completing the square method is as follows:
- send the constant term to other side of equal

- divide the whole equation be coefficient of
, this will give 
- add
to both side of equality 
- Make one fraction on the right side and compress the expression on the left side

- rearrange the terms will give the vertex form of standard quadratic equation

Follow the above procedure will give the vertex form.
(NOTE : you must know that
. Use this equation in transforming the equation from step 3 to step 4)