What's the answer?????????

What number must you add to complete the square x^-8x=39

notsponge [240]

Answer:

Given equation: $x^2-8x =39$

when we complete the square , we take half of the value of 8 , then square it, and added to the left sides, we get;

$x^2-8x+4^2 = 39 +4^2$

∵8 is the value $(\frac{8}{2})^2$

Notice that, we add this both sides so that it maintains the equality.

then;

$x^2-8x+4^2 = 39 +4^2$

$(x-4)^2 = 39 + 16$ [ $(a-b)^2 = a^2-2ab+b^2$ ]

Simplify:

$(x-4)^2 =55$

The number must be added to complete the square is, $4^2 = 16$

3 0

2 years ago

Read 2 more answers

When two lines intersect they always form

timama [110]

Correct answer; A right angle

7 0

3 years ago

Find the constant $a$ such that\[(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28.\]

Colt1911 [192]

The value of constant a is -5

Further explanation:

We will use the comparison of co-efficient method for finding the value of a

So,

Given

$(x^2 - 3x + 4)(2x^2 +ax + 7)\\= x^2((2x^2 +ax + 7)-3x((2x^2 +ax + 7)+4(2x^2 +ax + 7)\\= 2x^4+ax^3+7x^2-6x^3-3ax^2-21x+8x^2+4ax+28\\Combining\ alike\ terms\\=2x^4+ax^3-6x^3+7x^2-3ax^2+8x^2-21x+4ax+28\\= 2x^4 +(a-6)x^3+(15-3a)x^2-(21-4a)x+28\\$

As it is given that

(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28

In this case, co-efficient of variables will be equal, so we can compare the coefficients of x^3, x^2 or x

Comparing coefficient of x^3

$a-6 = -11\\a = -11+6\\a = -5$

So the value of constant a is -5

Keywords: Polynomials, factorization

Learn more about factorization at:

#LearnwithBrainly

4 0

3 years ago

Which of the following is a valid comparison between the possible minimum and maximum values of the function y = -x2 + 4x - 8 an

Arturiano [62]

Answer:

The maximum value of the equation is 1 less than the maximum value of the graph

Step-by-step explanation:

We have the equation $y=-x^2+4x-8$ .

We can know that this graph will have a maximum value as this is a negative parabola.

In order to find the maximum value, we can use the equation $x=\frac{-b}{2a}$

In our given equation:

a=-1

b=4

c=-8

Now we can plug in these values to the equation

$x=\frac{-4}{-2} \\\\x=2$

Now we can plug the x value where the maximum occurs to find the max value of the equation

$y=-(2)^2+4(2)-8\\\\y=-4+8-8\\\\y=-4$

This means that the maximum of this equation is -4.

The maximum of the graph is shown to be -3

This means that the maximum value of the equation is 1 less than the maximum value of the graph

6 0

2 years ago

What is 0.005 in percent and fraction

Sati [7]

For percent, you just move the decimal over two spaces to the right, and add the percent sign. In which that would be:
<em> .5%</em>
And for the fraction: Since the 5 is in the thousandths place, the fraction would equal to:
$\frac{5}{1000}$ when simplafied: $\frac{1}{200}$

~Hope this helped :)

4 0

2 years ago