Select the correct answer.

Solve the following quadratic equations by any method. The solutions are:

Nataly_w [17]

Answer:

Option C .

Step-by-step explanation:

We would like to solve the below quadratic equation ,

$\longrightarrow f(x) = x^2-12x +32$

Step 1 : Equate f(x) with 0 :-

$\longrightarrow f(x) = 0\\$

$\longrightarrow x^2-12x + 32=0$

Step 2 : Factorise the RHS :-

$\longrightarrow x^2-8x - 4x +32=0\\$

$\longrightarrow x(x-8)-4(x-8)=0\\$

$\longrightarrow (x-8)(x-4)=0\\$

Step 3 : Equate each factor with 0 :-

$\longrightarrow x - 8 = 0\\ \qquad x -4=0$

$\longrightarrow x = 8 \qquad x = 4$

$\longrightarrow \underline{\underline{\boldsymbol{ x = 8,4}}}$

Hence option C is correct .

8 0

2 years ago

An image of a rectangular pyramid is shown below: A right rectangular pyramid is shown. Part A: A cross section of the rectangul

valentina_108 [34]

Answer:

Part a) Rectangle

Part b) Triangle

Step-by-step explanation:

The picture of the question in the attached figure N 1

Part A) A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section?

we know that

When a geometric plane slices any right pyramid so that the cut is parallel to the plane of the base, the cross section will have the same shape (but not the same size) as the base, So, in the case of a right rectangular pyramid, the cross section is a rectangle

Part b) If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section?

we know that

Cross sections perpendicular to the base and through the vertex will be triangles

see the attached figure N 2 to better understand the problem

5 0

3 years ago

Find the greatest common factor of 36 and 54

8090 [49]

Hey there!

To find the greatest common factor you will need to find all the factors of 36 and 54. (A factor is a number that can be divided into another number).

54 - 1, 2, 3, 6, 9, 18, 27.

36 - 1, 2, 3, 4, 6, 9, 12, 18.

As you can see here, the factor that is the greatest is 18. Therefore, that is your answer.

Hope this helps! :)

8 0

3 years ago

Read 2 more answers

HELP jusko ang hirap ❗NONSENSE = REPORTED❗

irga5000 [103]

Answer:

1.A

2.B

3.A

4. D

5.C

Step-by-step explanation:

make me brainlest :>>

4 0

3 years ago

SOMEONE PLZ HELP WILL MARK BAINLIEST

olga55 [171]

All Four quadrants. It is basically a ramp that goes up through all four of them.

6 0

3 years ago

Read 2 more answers