Pls help, I need to get my test done b4 the end of today, and I still need to finish the rest of the questions!

Mathematics

1 answer:

aalyn [17]3 years ago

5 0

The equation in required form is: $(x-4)^2 = 3$

Step-by-step explanation:

Given equation is:

$x^2-8x+13=0$

to write the equation in $(x-a)^2 = b$ form where a and b are integers

subtracting 13 from both sides

$x^2-8x+13-13=0-13\\x^2-8x = -13$

To complete the square:

2.x.b = 8x

b = 8x/2x = 4

So adding (4)^2 on both sides

$(x)^2-8x+(4)^2 = -13+(4)^2\\(x-4)^2 = -13+16\\(x-4)^2 = 3$

Hence,

The equation in required form is: $(x-4)^2 = 3$

Keywords: Quadratic equation, Vertex form

Learn more about quadratic equation at:

#LearnwithBrainly

You might be interested in

Determine the range of the function. (0,2) (2,4) (4,6) (6,8) (8,10)

stealth61 [152]

The answer might be f(x)≥2

7 0

3 years ago

Read 2 more answers

Solve S=2(lw + lh + wh) for w

vovikov84 [41]

Dividing by 2, we have S/2=lw+lh+wh. After that, we subtract lh from both sides to get S/2-lh=lw+wh. Next, we divide both sides by w to get (S/2)/w=l+h. Next, we divide by S/2 to get 1/w=(l+h)/(S/2). Lastly, we multiply by w and divide by (l+h)/(S/2) to get w=(S/2)/(l+h)

7 0

3 years ago

Read 2 more answers

In a recent year, 31% of all college students were enrolled part-time. If 8.6 million college students were enrolled part-time t

Ronch [10]

Answer:

28 million college students.

Step-by-step explanation:

We can represent all college students as x. This means that all part-time college students are $\frac{31}{100}x$ . Because all part-time college students are also equal to 8.6 million, we have $8,600,000=\frac{31}{100}x$ . To find the number of total college students, or x, we have to multiply by 100/31 to get rid of the fraction on the other side:

$8,600,00\cdot\frac{100}{31}=x$

The left side of the equation evaluates as $27,741,935.5$ . Because we are asked to round to the nearest million, we have to round to 28 million, which is the closest.