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3 years ago

Solve the following quadratic by completing the square. y = x2 - 6x + 7

Mathematics

1 answer:

kobusy [5.1K]3 years ago

7 0

Answer:

x = 5 or x = 1

Step-by-step explanation:

x² - 6x + 7 = 0

x² - 6x = -7

x² - 6x + 9 = -7 + 9 1/2 of the x term than square it and add it the both sides.

(x - 3)(x - 3) = 2

( x -3)² = 2

$\sqrt{(x - 3)^2$ = $\sqrt{2}$

(x - 3) = ± 2

x - 3 = 2 or x - 3 = -2

x = 5 or x = 1

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The figure below is made of 2 rectangular prisms. What is the volume of this figure?

mixer [17]

Answer:

6536 cubic in

Step-by-step explanation:

1. Split both the prisms apart- In doing so, you can simplify the problem.

2. Put in the #'s for the formula which in this case is V=L*W*H, we will start with the formula for the front one, V=7*8*1 or V=7*8

3. answer for the front is 56 cubic in, now we solve for the other half.

4. V=9*1*90 or V=9*90 which is 6480 cubic in.

5. add 6480 and 56 and your answer is 6536 cubic in as your answer.

Hope this helped ;D

3 0

3 years ago

6. Find the measure of the angle. * m Q ? P 113 M 118

mihalych1998 [28]

Answer:

113 - 180 = 67 degrees

Step-by-step explanation:

113 degrees from 180 degrees equals 67 degrees

7 0

3 years ago

A sphere has a radius of 4 in. Which equation finds the volume of the sphere?

Ede4ka [16]

Volume : 4πR³/3

R=4

↓

V = 4π·4³/3 or $\frac{4}{3}*\pi *(4)^{3}$

5 0

3 years ago

Read 2 more answers

Paul's mp3 player has a total of 852 songs. He has 4 different groups of songs. If he puts an equal number of songs in each grou

Igoryamba

Answer:

There will be 213 songs in each group.

Step-by-step explanation:

Suppose, the number of songs in each group is $x$

As he has 4 different groups of songs, so the total number of songs in all 4 groups will be: $(4*x)= 4x$

Given that, the mp3 player has a total of 852 songs. So, the equation will be........

$4x=852\\ \\ x=\frac{852}{4}=213$

So, there will be 213 songs in each group.

5 0

3 years ago

Read 2 more answers

Multiply? I don't know how to do this o.o (X+4√2) (x-4√2) (x-3i)

Korolek [52]

Answer:

$x^{3} -(3i) \; x^{2} -32x + 96 i$ .

Step-by-step explanation:

Notice that the first two factors are in the form $(x-a)(x+a)$ , which is equal to $(x^{2} - a^{2})$ . Start by combining and expanding these two factors:

Let $a = 4\sqrt{2}$ .

$a^{2} = 16 \times 2 = 32$ .

$(x + a) (x - a) = x^{2} - a^{2} = x^{2} -32$ .

This expression can now be expressed as $(x^{2} - 32)(x - 3i)$ . $i$ stands the unit imaginary number, where $i^{2} = -1$ . Unless $i$ is raised to a certain power other than $1$ , it can be treated just like a constant.

Expand this expression using FOIL:

$\begin{aligned}&(x^{2} - 32)(x - 3i)\\=&\underbrace{x^{2}\cdot x}_{\verb!F!} +\underbrace{(x^{2})(-3i)}_{\verb!O!} + \underbrace{(-32)x}_{\verb!I!} + \underbrace{(-32)(-3i)}_{\verb!L!}\\=& x^{3} -(3i)x^{2}-32x + 96i \end{aligned}$ .

6 0

3 years ago