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Ivenika [448]
3 years ago
15

Help me with this math question

Mathematics
1 answer:
aksik [14]3 years ago
7 0

Answer:

Statements A and B are both true.

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The ortho center is (6,4).

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Identify all factors of the expression 12x^2-14x-6
Evgen [1.6K]

Let's solve this by using the quadratic formula:

\frac{-b+-\sqrt{b^2-4ac} }{2a}


Note that we only use the coefficients so a=12, b=-14, and c=-6.

Plug values in the quadratic equation:

\frac{ -  ( - 14)± \sqrt{ {( - 14)}^{2} - 4(12)( - 6) } }{2(12)}

And so by evaluating those values we obtain:

\frac{14+-\sqrt{484} }{24}=\frac{14+-22}{24}  \\\\

Now we have two answers which are our factors one where we add another where we subtract and so:

First factor:

\frac{14+22}{24}=\frac{36}{24}=\frac{3}{2}


Second Factor:

\frac{14-22}{24}=\frac{-8}{24}=-\frac{1}{3}


And so your factors are

\frac{3}{2},-\frac{1}{3}

meaning that those are your roots/x-intercepts.


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3 years ago
You have three bags, each containing two marbles. Bag A contains two white marbles, Bag B contains two black marbles, and Bag C
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Here are the first four terms of an arithmetic sequence. 3 10 17 24 Find, in terms of n, an expression for the nth term of this
ollegr [7]

Answer:

a_{n} = 7n - 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus

a_{n} = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4

8 0
3 years ago
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