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2 years ago

What is the product? 2 x (x minus 4)

Mathematics

2 answers:

lilavasa [31]2 years ago

7 0

Answer: Simplify the real and imaginary parts of the expression.

Answer is: 8x^2 minus

eimsori [14]2 years ago

5 0

Answer:

The product of 2x(x-4) is $2x^2-8x$ .

Step-by-step explanation:

The given expression is

$2x(x-4)$

We need to find the product of 2x(x-4).

If a,b and c are three real numbers, then by distributive property

$a(b+c)\Leftrightarrow ab+ac$

Using distributive property, the given expression can be written as

$2x(x)+2x(-4)$

On simplification we get

$2x^2-8x$

Therefore the product of 2x(x-4) is $2x^2-8x$ .

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A parabola, with its vertex at the origin, has a directrix at y = 3. Which statements about the parabola are true? Select two op

shutvik [7]

Answer:

Step-by-step explanation:

Let's answer these questions in an all-encompassing kind of explanation. If you plot the vertex and the directrix, you see that the vertex is below the directrix. Because of the fact that a parabola opens AWAY from the directrix, and wraps itself around the focus, we know it's an upside down parabola of the form

$4p(y-k)=-(x-h)^2$

The p value from the equation is a distance, specifically the distance between either the vertex and the directrix, or the vertex and the focus. The vertex is exactly in the middle of the directrix and the focus. So that tells us that the focus is 3 units below the vertex (because the directrix is 3 units above the vertex). We also know from this that p = 3.

Filling in the equation with a vertex of (0, 0) which is our h and k respectively:

$4(3)(y-0)=-(x-0)^2$ which simplifies to

$12y=-x^2$ and multiplying both sides by -1:

$-12y=x^2$ . This is not standard form, but it matches what your equation is in the choices. So to sum up:

The focus is located at (0, -3) and the first choice is true.

The parabola opens upside down and the second choice is not true.

The p value is found by counting the units between the vertex and the directrix, so the third choice is not true.

We solved the equation by filling in the values for h, k, and p and got that the equation in the fourth choice is true.

So the fifth choice is not true.

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2 years ago

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Vinh needs 420 points to have a b average in math. his scores so far are 88, 89, 79, and 77. what is the minimum score he can ma

vlabodo [156]

88 + 89 + 79 + 77 = 333. 420-333= 87. The minimum score he can get is 87

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An auto dealership sells minivans and sedans. In January, they sold 10

igor_vitrenko [27]

Answer: They are both equal

Step-by-step explanation: 10 x 14 = 20 x 7

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2 years ago

A scale model of a merry-go-round and the actual merry-go-round are similar. a. How many times greater is the base area of the a

Kipish [7]

The area ratio is the square of the linear dimension ratio. So if the merry-go-round base is circular, the area contains the square of the radius. If a polygon, the base can be divided into triangles. The area of each triangle involves the product of the base length and the height, so since both have the same change of length, the product will square the scaling ratio.
Let’s say the ratio of corresponding lengths is x:1 then the ratio of the base areas is x²:1.
The question doesn’t provide any figures.
Let’s put some in as an example. Let the actual merry-go-round be circular with a diameter of 20 feet, while the model is one foot in diameter. So the ratio of the actual ride and it’s model is 20:1. The area of the base of the actual ride is 100π sq ft. The area of the base of the model is π/4 sq ft. We expect the ratio of these areas to be 20²=400. 100π/(π/4)=400.

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2 years ago

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lions [1.4K]

Answer:

Step-by-step explanation:

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