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3 years ago

Divide -2x^3-5x^2+4x+2 by x+2

Mathematics

1 answer:

erik [133]3 years ago

4 0

Answer:

The correct option is C. $-2x^2-x+6, R(-10)$

Explanation:

Given:

Dividend = -2x^3-5x^2+4x+2

Divider =(x+2)

Solution:

Now by using the division method , we will find out the quotient and remainder of the given equation

And the equation will become

$-2x^3-5x^2+4x+2=(x+2)(-2x^2-x+6)-10$

So , We will get the quotient = $-2x^2-x+6$

And Remainder = -10

Hence the Correct option which perfectly satisfy the given equation is C.

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Sergeeva-Olga [200]

Answer:

1) 6 cm

2) 117°

Step-by-step explanation:

1) Draw a picture of the rhombus. The distance between opposite sides is the height of the rhombus. If we draw the height at the vertex, we get a right triangle. Using trigonometry:

sin 30° = h / 12

h = 12 sin 30°

h = 6 cm

2) Draw a picture of the rectangle.

∠KML is the angle the diagonal makes with the shorter side ML. This angle is 54°. ∠NKM is the angle the diagonal makes with the shorter side NK. ∠KML and ∠NKM are alternate interior angles, so m∠NKM = 54°.

The angle bisector of angle ∠NKM divides the angle into two equal parts and intersects the longer side NM at point P. So m∠PKM = 27°.

KLMN is a rectangle, so it has right angles. That means ∠KML and ∠KMN are complementary. So m∠KMN = 36°.

We now know the measures of two angles of triangle KPM. Since angles of a triangle add up to 180°, we can find the measure of the third angle:

m∠KPM + 36° + 27° = 180°

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3 years ago

Kayla says that the point labeled C in the diagram below is the center. Raymond says that point C is the radius.

frutty [35]

Answer:

Kayla is correct The center is a fixed point in the middle of the sphere

Step-by-step explanation:

In mathematics we have certain habit of rules for notation of points, coordinates, segments, angles and so on.

Usually we denote points, by letters even more we denote with the first letter of the object we are denoting

Occasionally, we also denote segments as radius in a circle and in a sphere, with letters, that is r stands for radius, h stands for height, in most cases we denote point for capital letters ( in a segment)

When we denote radius, with small letter it should be placed at the center or over the segment we are traying to denote.

For points we only need to place the letter close to the to the point we want to denote.

Therefore Kayla is correct when says that c stand for " the center of the sphere"

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Dividing by a fraction is like multiplying with the inverse.

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julia-pushkina [17]

Answer:

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anygoal [31]

Answer:

Directional derivative = 1/√2

Step-by-step explanation:

We are given f(x, y) = y cos(xy)

Now, we know that;

∇f(x, y) = ycos xy

Thus, applying that to the question, we have;

∇f(x, y) = [-y² sin xy, cos (xy) - xy sin xy]

At coordinates (0,1),we now have;

∇f(0, 1) = [-1²•sin0, (cos 0) - 0]

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Now, unit vector indicated by the angle θ is given as; u = [cos θ, sin θ]

From the question, since θ = π/4, thus

u = [cos π/4, sin π/4]

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Also, sin π/4 in surd form is; 1/√2

So, u = [1/√2, 1/√2]

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