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Phantasy [73]
3 years ago
7

Solve: -8(x - 3) - 4x < 108

Mathematics
1 answer:
Rainbow [258]3 years ago
7 0

Step-by-step explanation:-8x+24-4x<108

108-24

-12x<84

x<7

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Giving 40 points who help me
Elena L [17]

Answer:

D is the answer. There are 5 boxes, that each has 3 filled in.

7 0
2 years ago
6) the circular base of a hemisphere of radius 2 rests on the base of a square pyramid of height 6. the hemisphere is tangent to
Rasek [7]

The length of the square base is thus 2 x 3\sqrt{2}/2 = 3\sqrt{2} = A

<h3>What is hemisphere?</h3>

Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.

EXPLANATION; Let ABCDE be the pyramid with ABCD as the square base. Let O and M be the center of square ABCD and the midpoint of side AB respectively. Lastly, let the hemisphere be tangent to the triangular face ABE at P.

Notice that triangle EOM has a right angle at O. Since the hemisphere is tangent to the triangular face ABE at P, angle EPO is also 90 degree. Hence, triangle EOM is similar to triangle EPO.

OM/2 = 6/EP

OM = 6/EP x 2

OM = 6\sqrt{6^2 - 2^2} x 2 = 3\sqrt{2}/2}

The length of the square base is thus 2 x 3\sqrt{2}/2 = 3\sqrt{2} = A

To know more about Hemisphere, visit;

brainly.com/question/13625065?referrer=searchResults

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6 0
1 year ago
Help me I'm lost on this unit.​
Liula [17]

Answer:

remainder = 32

Step-by-step explanation:

Using synthetic division with divisor (x - 2) , that is h = 2

There is no x³ term so include zero as its coefficient in the table

2 | 3   0   - 3   2   - 8

    ↓    6   12   18    40

   ------------------------------

   3    6    9     20    32 ← remainder

   

   

6 0
3 years ago
Further mathematics: Find the derivative of the function x^2 y + (xy)^3 +3x=0 at (-1 , 3)​
vesna_86 [32]

Answer:

3.

Step-by-step explanation:

Implicit differentiation:

x^2 y + (xy)^3 + 3x = 0

x^2 y + x^3y^3 + 3x = 0

Using the product rule:

2x* y + x^2*dy/dx + 3x^2 y^3 + x^3* (d(y^3)/dx) + 3 = 0

2xy + x^2 dy/dx + 3x^2 y^3 + x^3* 3y^2 dy/dx + 3 = 0

dy/dx(x^2 + 3y^2x^3) =  (-2xy - 3x^2y^3 - 3)

dy/dx=  (-2xy - 3x^2y^3 - 3) / (x^2 + 3y^2x^3)

At the point (-1, 3).

the derivative =  (6 - 81 - 3)/(1 -27)

= -78/-26

=  3.

8 0
2 years ago
Read 2 more answers
2x^3=28<br><br> find the exact solution for x
Alborosie

Answer:

The answer to your question is:  x = 2.41

Step-by-step explanation:

                                            2x³ = 28

                                             x³ = 28/2

                                             x³ = 14

                                             x = ∛14

                                            x = 2.41

6 0
3 years ago
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