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grin007 [14]
3 years ago
10

All three please 10 points

Mathematics
1 answer:
GaryK [48]3 years ago
5 0

Answer:

A) x = 3 or -1

B) x = -7

C)x = -7

Step-by-step explanation:

A) x² + 2x + 1 = 2x² - 2

Rearranging, we have;

2x² - x² - 2x - 2 - 1 = 0

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

B) ((x + 2)/3) - 2/15 = (x - 2)/5

Multiply through by 15 to get;

5(x + 2) - 2 = 3(x - 2)

5x + 10 - 2 = 3x - 6

5x - 3x = -6 - 10 + 2

2x = -14

x = -14/2

x = -7

C) log(2x + 3) = 2log x

From log derivations, 2 log x is same as log x²

Thus;

log(2x + 3) = logx²

Log will cancel out to give;

2x + 3 = x²

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

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Answer:

Step-by-step explanation:

4x^{2} - 6 = 394

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8 0
2 years ago
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Help me please im stuck
Kay [80]

Answer:

28.26

Step-by-step explanation:

A=3.14 r^2

3.14x3x3

3.14x9

28.26

Hope this helps! :)

(Please don't hate on me if its wrong)

4 0
3 years ago
The Louvre is an art museum in Paris. A glass square base pyramid sits in front of the entrance to the museum. If the pyramid is
Sveta_85 [38]

Answer:

lateral area = 2320 m²

Step-by-step explanation:

The question wants us to calculate the lateral area of a square base pyramid. The square base pyramid has a side of 40 meters.The height is 21 meters.

Half of the square base is 40/2 =  20 meters . With the height it forms a right angle triangle. The hypotenuse side is the slant height of the pyramid.

Using Pythagoras's theorem

c² = a² + b²

c² = 20² + 21²

c² = 400 + 441

c² = 841

square root both sides

c = √841

c = 29 meters

The slant height of the pyramid is 29 meters.

The pyramid has four sided triangle. The lateral area is 4 multiply by the area of one triangle.

area of triangle = 1/2 × base × height

base = 40 meters

height = 29 meters

area = 1/2 × 40 × 29

area = 580

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Lateral area = 4(580)

lateral area = 2320 m²

5 0
3 years ago
Solve P=Kt/v for k
yan [13]
Multiple both sides of the equation by V, and divide both sides by T.. You'll get PV/T=KT/V*(V/T)=K.
8 0
3 years ago
Write an algebraic expression to model the unknown number problem.
Morgarella [4.7K]

Answer:

A. You can replace ‘a number’ with a variable to represent an unknown value.

C. Product means the result of multiplying two numbers.

D. The coefficient is 15.

E. In algebraic notation, you can represent the product of a number and a variable by writing the number and variable next to each other.

Step-by-step explanation:

EDGE 2020

5 0
3 years ago
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