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saul85 [17]
3 years ago
7

How wide is a rectangular table with a length of 2/3 yard yard and an area of 1/2 square yard?

Mathematics
1 answer:
mylen [45]3 years ago
5 0
<span>a = Lw
---
1/2 = (2/3)w
w = (1/2)(3/2)
---
w = 3/4 yard</span>
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What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following
skelet666 [1.2K]

For this case we have the following expression:

x ^ 2-4x + 10 = 4x + 10

We follow the steps below:

We subtract 4x on both sides of the equation:

x ^ 2-4x + 10-4x = 4x + 10-4x\\x ^ 2-8x + 10 = 10

We subtract 10 from both sides of the equation:

x ^ 2-8x + 10-10 = 10-10\\x ^ 2-8x = 0

Now, we must complete squares.

When we have an equation of the form:

ax ^ 2 + bx + c = 0, if we want to complete squares we must subtract c on both sides of the equation obtaining:

ax ^ 2 + bx + c-c = -c\\ax ^ 2 + bx = -c

The square is completed by adding to both sides of the equation: (\frac{b}{2})^{2}

So, we have left:

ax^2+bx + (\frac {b} {2})^{2} = - c + (\frac {b} {2}) ^ {2}

In the given expression we have:

a = 1\\b = -8\\c = 0

And to complete the square we have:

(\frac {b} {2}) ^ {2} = (\frac {-8} {2}) ^ {2} = 16

Rewriting we have:

x ^ 2-8x + 16 = 16

We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:

-4-4 = -8\\-4 * -4 = 16

So, we have:

(x-4) (x-4) = 16\\(x-4) ^ 2 = 16

Answer:

The intermediate step is to complete squares

(x-4) ^ 2 = 16


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3 years ago
Back of last questions answer as many as possible
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16) is A and B

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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
Solve for x<br>Please show steps thank you.
const2013 [10]
The absolute value of x is simply x and followed by the expression.

X + 1 + x + 1 <_ 2

2x + 2 <_ 2

2x <_ 0

X <_ 0

Basically all values that follow this inequality will most likely hold true.

For instance. -1.

-1 + 1 = 0
Absolute value of -2 = 2.

2 is equal to 2. This expression holds true.
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What is the difference between “ and “ and “ or “ ?
Nata [24]

Answer:

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Step-by-step explanation:

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