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3 years ago

For the quadratic equation, state the axis of symmetry, vertex, and any intercepts.

Mathematics

1 answer:

dusya [7]3 years ago

3 0

Answer:

Axis of Symmetry is x = 2

Vertex is (2, -9)

X Intercepts are (5, 0) and (-1, 0)

Step-by-step explanation:

Quadratic Equation is in standard form. Formula find the x value of the vertex in standard form is -b/2a

a=1

b=-4

c=-5

--4/2(1) = 2

Plugin to find the y value of the vertex.

2^2-4(2)-5=y

4-8-5=y

y = -9

The x value of the vertex (in this case is 2) is the axis of symmetry. Therefore the axis of symmetry is x=2

Factor the equation to put into intercept form.

(x-5)(x+1) = y

The equation can be FOIL-ed to get back to standard form.

Separate the 2 parentheses and whatever can cancel the parentheses are your intercepts.

For (x-5) your intercept is (5, 0)

For (x+1) your intercept is (-1, 0)

The x intercepts are where the parabola will cross the x axis on the graph.

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3 years ago

Matt cut a circle into 8 equal sections. He drew an angle that measures the same as the total measure of 4 of the sections in th

gulaghasi [49]

Answer:

The angle Matt drew = 180°

Step-by-step explanation:

The total angle formed by the 8 angles Matt drew in the circle equals 360° because one revolution of a circle is the same as the angle about a point which equals 360°.

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x + x + x + x + x + x + x + x = 360°

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Next, we are told that Matt drew another angle that has the same measurement as four (4) of the sections (angles) in the circle.

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3 years ago

I don't understand this. please help me, much appreciated !!

nevsk [136]

Apparently, the calculator at the link in your lesson is fully capable of giving you the necessary numbers. My own TI-84 work-alike gives me the account balances, but the rest of the numbers need to be figured.

In 30 years, there are 12×30 = 360 months, or 4×30 = 120 quarters. See the calculator results below. Your table can be filled in using the given information to find the contribution amount. The calculator gives the final balance. The interest amount is found by subtracting the contribution amount from the final balance.

$\begin{array}{cccc}\text{Opt}&\text{Contributions}&\text{Int}&\text{Final Bal}\\1&360\cdot 25=9000&6250.50&15250.50\\2&120\cdot 75=9000&8467.04&17467.04\\3&1000&5489.17&6489.17\end{array}$