An octagon is a polygon with eight sides. Which of the following

Mathematics

1 answer:

erastovalidia [21]3 years ago

3 0

Answer:

The second answer option:

"A polygon is an octagon if and only if it has eight sides."

Step-by-step explanation:

A biconditional statement needs to have a conditional statement and also its reverse. This is in general happening in a case of a statement with the "If-and-only-if" form.

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The graph of a quadratic function has a vertex at (5,3) and goes through the point (-1,-9). What is the equation of the function

kotegsom [21]

Answer:

$y=-\frac{1}{3} (x-5)^2+3$

Step-by-step explanation:

We are given the following;

Vertex of a quadratic function = (5,3)
A point where the function passes through (-1, -9)

Required to determine the equation of the function;

We need to know the vertex form of a quadratic function is;

$y=a(x-h)^2+k$ , where h and k correspond to the vertex (h,k)

Therefore, we can replace the variables h and k of the vertex in the equation;

That is;

$y=a(x-5)^2+3$

Then we use the equation and the point given to solve for a

x = -1 and y = -9

We get;

$-9=a(-1-5)^2+3\\-9 = a(36) + 3\\-9 - 3 = 36a\\-12 =36a \\a=-\frac{1}{3}$

Substituting the values of a, h and k in the equation, we get;

$y=-\frac{1}{3} (x-5)^2+3$

Thus, the equation of the function in the vertex form is $y=-\frac{1}{3} (x-5)^2+3$

8 0

3 years ago

What is the expression of 5 times the difference between 19 and 13

saveliy_v [14]

Answer:

5 x 6

Step-by-step explanation:

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3 years ago

Factor the following expression x^2-36

Tomtit [17]

Factor the following:
x^2 - 36
x^2 - 36 = x^2 - 6^2:
x^2 - 6^2
Factor the difference of two squares. x^2 - 6^2 = (x - 6) (x + 6):
Answer: (x - 6) (x + 6)

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3 years ago

What number best completes both equations? 5/7÷1/3=? ?×1/3=5/7

Nat2105 [25]

Consider the given equations:

The first equation is as:

$\frac{5}{7} \div \frac{1}{3} = ?$