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3 years ago

Help me please!!!!!!

Mathematics

1 answer:

Dvinal [7]3 years ago

7 0

Answer:

the answer is (6,1)

Step-by-step explanation:

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What is the slope of the line represented by the equation 2x+3y= –12 ? a. –3/2 b.-2/3 c.2/3 d. 3/2

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3 years ago

The square root of 9x^3/5y^2 show your work. (Do not forget to rationalize the denominator)

Maslowich

Answer:

I believe it would be 9.

9–√2

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3 years ago

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2 years ago

Evaluating integral by net area

N76 [4]

The graph of $f(x)=2$ is a horizontal line. So the area under $f(x)$ on [0, 8] is equal to the area of a rectangle with length 8 and height 2, or 16.

The graph of $g(x)=\sqrt{64-x^2}$ is the upper half of a circle with radius $\sqrt{64}=8$ . It's symmetric about $x=0$ , so on the interval [0, 8], we're considering a quarter of the circle. The area of such a sector is $\frac{\pi 8^2}4=16\pi$ .

Then use the fact that the definite integral is distributive over sums, meaning

$\displaystyle\int_0^8f(x)+g(x)\,\mathrm dx=\int_0^8f(x)\,\mathrm dx+\int_0^8g(x)\,\mathrm dx=16+16\pi$

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4 years ago

When x-y=3 work out the value of y-x

GalinKa [24]

The value of y-x is (-3)

<u>Solution:</u>

Given: The value of x-y=3

To find: The value of y-x

$\bold{x-y=3\rightarrow (1)}$

Let's multiply the equation (1) by (- 1) on both sides,

$\Rightarrow\bold{(x - y)\times(- 1) = 3\times(- 1)}$

$\Rightarrow\bold{-(x-y)=-3}$

On multiplying the sign,

$\Rightarrow\bold{(-x+y)=-3}$

The above equation can also be written as,

$\Rightarrow\bold{y-x=-3\rightarrow \text{(The required equation)}}$

<u>Multiplication of signs:</u>

$\Rightarrow( + )\times( + ) = ( + )$

$\Rightarrow( + )\times( - ) = ( - )$

$\Rightarrow( - )\times( + ) = ( - )$

$\Rightarrow( - )\times( - ) = ( + )$

In simpler terms, when we multiply two integers with the same signs, the result is always positive and when we multiply two integers with different signs, the result is always negative.

5 0

3 years ago