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3 years ago

18.

Mathematics

2 answers:

drek231 [11]3 years ago

6 0

Hi there!

»»————-　★　————-««

I believe your answer is:

C. (5, –23)

»»————-　★　————-««

Here’s why:

I have graphed the given equation on a program.
The vertex can be described as the 'turning point' of the parabola.
When graphed, the parabola shows a vertex at (5, -23).

See the graph below.

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

Svet_ta [14]3 years ago

3 0

B ( -10 , 2 ) hope this helps you!!

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Answer:

The ordered pair $(-2,\, -4)$ is indeed a solution to the system:

$\left\lbrace\begin{aligned} & y = \frac{1}{2}\, x - 3 \\ & y = -2\, x - 8\end{aligned}\right.$ .

Step-by-step explanation:

Consider a system of equations about variables $x$ and $y$ . An ordered pair $(x_{0},\, y_{0})$ (where $x_{0}$ and $y_{0}$ are constant) is a solution to that system if and only if all equations in that system hold after substituting in $x = x_{0}$ and $y = y_{0}$ .

For the system in this question, $(-2,\, -4)$ would be a solution only if both equations in the system hold after replacing all $x$ in equations of the system with $(-2)$ and all $y$ with $(-4)$ .

The $\texttt{LHS}$ of the equation $y = (1/2)\, x - 3$ would become $(-4)$ . The $\texttt{RHS}$ of that equation would become $(1/2) \, (-2) - 3$ . The two sides are indeed equal.

Similarly, the $\texttt{LHS}$ of the equation $y = -2\, x - 8$ would become $(-4)$ . The $\texttt{RHS}$ of that equation would become $(-2)\, (-2) - 8$ . The two sides are indeed equal.

Thus, $x = (-2)$ and $y = (-4)$ simultaneously satisfy both equations of the given system. Therefore, the ordered pair $(-2,\, -4)$ would indeed be a solution to that system.

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3 years ago

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It's 0 units away from zero on a number line which

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However, all other numbers besides zero will have

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