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ANTONII [103]
2 years ago
15

I need help with this question x2 - 16y2

Mathematics
1 answer:
lana66690 [7]2 years ago
5 0
A^2 - b^2 = (a+b) (a-b) where a = x and b = 4y
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Can someone explain how to convert a quadratic function in standard form to vertex form using the "complete the square" method?
Arisa [49]

The required steps are explained below to convert the quadratic function into a perfect square.

<h3>What is the parabola?</h3>

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the quadratic function be y = ax² + bx + c.

The first step is to take common the coefficient of x². We have

\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c

Add and subtract the half of the square the coefficient of x,

\rm y = a \left (x^2 + \dfrac{b}{a}x + \dfrac{b^2}{4a^2} \right) - a \times \dfrac{b^2}{4a^2} + c

Then we have

\rm y = a \left (x + \dfrac{b}{a} \right)^2 - \dfrac{b^2}{4a} + c

These are the required step to get the perfect square of the quadratic function.

More about the parabola link is given below.

brainly.com/question/8495504

#SPJ1

3 0
2 years ago
Question 2: What is the volume of this prism?
laiz [17]

Answer:

42 cubic units

Step-by-step explanation:

2x3x7

6 0
3 years ago
Please help need urgent
aleksandr82 [10.1K]

Convert the cm to feet for the base and the height:

12/2 = 6 x 3 = 18 feet

9/2 = 4.5 x 3 = 13.5 feet


area = 1/2 x base x height

Area = 1/2 x 18 x 13.5

Area = 121.5 square feet


answer: 121.5 square feet

3 0
2 years ago
A newsletter publisher believes that less than 49% of their readers own a laptop. For marketing purposes, a potential advertiser
Zepler [3.9K]

Answer:

The answer is "At the 0,10 level, there should be enough proof that the percentage is below 49%"

Step-by-step explanation:

Null and alternative hypothesis:

H_0 :P \geq 0.49\\\\H_1:P

Significance level: \alpha = 0.10

It is decided that the null hypothesis at the defined meaning level is rejected.

5 0
3 years ago
The slope of the line below is 2/5 and the y-intercept is 4 . What is the slope intercept equation of the line ?
Grace [21]
Y=2/5X+4 is the slope-intercept form. 

4 0
3 years ago
Read 2 more answers
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