3 years ago

What is the solution to the system of equations 2x-5y=-5 and x+2y=11?

1 answer:

4 0

Let's eliminate x in the system

<span>
2x-5y=-5
x+2y=11

To do this, mult. the 2nd eqn by -2:

</span> 2x-5y=-5
-x-4y=-22
---------------
-9y= -27. This yields y = 3.

Now subst. 3 for y in either of the original equations to determine x.

Write your answer as an ordered pair: ( ? , 3).

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Extra points!!no links tho

Naddik [55]

Answer:

<h3> a. the vertex represents a minimum point</h3><h3> b. f(x) = (x + 5)² - 5</h3>

Step-by-step explanation:

a = 1 > 0 ← that means the parabola opens up, so the vertex is minimum of the function

$f(x)=x^2+10x+20\\\\f(x)=\underline{x^2+10x+25} - 25+20\\\\f(x)=(x+5)^2-5$