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2 years ago

One half of the difference of a number and three will result in two thirds of the difference of the number and eight

Mathematics

1 answer:

cupoosta [38]2 years ago

6 0

1/2(x - 3) = 2/3(x - 8)

Distributive property on both sides.

0.5x - 1.5 = 0.7x -5.3

Add 5.3 to both sides.

0.5x + 3.8 = 0.7x

Subtract 0.5x from both sides.

3.8 = 0.2x

Multiply both sides by 5.

x = 19 (This is your answer.)

Let me know if you have any other questions. :)

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Find the area of a compound shape Can you please explain

gtnhenbr [62]

Answer:

$A=292.53~m^2$

Step-by-step explanation:

Area of a Compound Shape

The shape shown in the image is made of two shapes: Half a circle of radius 8 m and a triangle of base 24 m and height 16 m.

The area of a circle of radius r is:

$A_c = \pi r^2$

The area of a triangle of base b and height h is:

$\displaystyle A_t=\frac{b.h}{2}$

Calculate the area of the circle:

$A_c = \pi 8^2$

$A_c = 64\pi$

Area of half the circle:

$A_c/2 = 32\pi~m^2$

Area of the triangle:

$\displaystyle A_t=\frac{24\cdot 16}{2}$

$A_t=192~m^2$

The area of the shaded shape is:

$A=32\pi~m^2+192~m^2$

Substituting the value of pi:

$\mathbf{A=292.53~m^2}$

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

D . f(x) =2x²+3x-3

Step-by-step explanation:

Given the equation as

f(x)=2x²+3x-3

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The constant term is -3

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