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Nitella [24]
3 years ago
9

Use the fact that 4.86 divided by 0.45 = 10.8. Find 4.85 divided by 4.5 with out dividing. Explain your work.

Mathematics
1 answer:
torisob [31]3 years ago
6 0

4.85 ÷ 4.5=1.08

Step-by-step explanation:

The initial question is;

4.86 ÷ 0.45 = 10.8

The question is ;

4.85 ÷ 4.5=?

You notice the numerator value does change with a small margin of 0.01 that you can neglect.The denominator however changes by a factor of 10, thus the answer should be multiplied by a factor of 1 tenth.This means, without calculation,

4.85 ÷ 4.5=1.08

Learn More

Division : brainly.com/question/13063965

Keywords: facts, divide, explain

#LearnwithBrainly

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Step-by-step explanation:

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WARRIOR [948]

Answer:

2\,(x-1)^2=4

which is the first option in the list of possible answers.

Step-by-step explanation:

Recall that the minimum of a parabola generated by a quadratic expression is at the vertex of the parabola, and the formula for the vertex of a quadratic of the general form:

y=ax^2+bx+c

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For our case, where a=2\,\,, b=-4\,\,,\,\,and \,\,c=-2  we have:

x_{vertex}=\frac{-b}{2\,a}\\x_{vertex}=\frac{4}{2\,*\,2}\\x_{vertex}=1

And when x = 1, the value of "y" is:

y(x)=2x^2-4x-2\\y(1)=2(1)^2-4(1)-2\\y(1)=2-6\\y(1)=-4\\y_{vertex}=-4

Recall now that we can write the quadratic in what is called: "vertex form" using the coordinates (x_{vertex},y_{vertex)of the vertex as follows:

y-y_{vertex}=a\,(x-x_{vertex})^2

Then, for our case:

y-(-4)=2\,(x-1)^2\\y=2\,(x-1)^2-4

Then, for the quadratic equal to zero as requested in the problem, we have:

y=2\,(x-1)^2-4=0\\2\,(x-1)^2-4=0\\2\,(x-1)^2=4

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If the area and width of the rectangle are 45x² − 42x − 48 and (5x − 8) then the length of the rectangle will be (3x + 2).

<h3>What is a rectangle?</h3>

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle has an area of 45x² − 42x − 48 and a width of 5x − 8.

Then the length of the rectangle will be

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Then we have

Area = 45x² − 42x − 48

Then the factor of the polynomial will be

Area = (5x − 8)(3x + 2)

Then the length of the rectangle will be (3x + 2).

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The expression is given as:

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And this is represented as

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So, we have

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Evaluate

(6x - 2)(6 x + 2) = 36x^2 - 4

Hence, the correct product of (6x - 2)(6 x + 2) is 36x^2 - 4

Read more about difference of two squares at:

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<u>Complete question</u>

What is the product?

(6x - 2)(6 x + 2).

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