All categories

3 years ago

which statement is true about the polynomial 3x2y2 − 5xy2 − 3x2y2 2x2 after it has been fully simplified?

Mathematics

2 answers:

ASHA 777 [7]3 years ago

7 0

Answer:

It has 4 terms and a degree of 4.

Step-by-step explanation:

Tasya [4]3 years ago

4 0

In simplifying polynomials, we need to remember that only like terms can be added or subtracted to each other. Also, the order of solving the basic operators should be followed which is PEMDAS.

3x2y2 − 5xy2 − 3x2y2 + 2x2

The first and the thrid term is equal to zero thus the polynomial is:

− 5xy2 + 2x2

The polynomial has two terms with a degree of three.

You might be interested in

70 points!!!! Find the horizontal and the vertical components of f.

choli [55]

Answer:

F = (16.74, -2.95)

Explanation:

1) Horizontal component

The horizontal component is related to the magnitude of the force by the cosine ratio:

cos (α) = Fx / | F |

Where α in the angle (-10º), Fx is the horizontal component, and | F | is the magnitude of the force (17).

cos(-10º) = Fx / 17 ⇒ Fx = cos (-10º) × 17 = 16.74

2) Vertical component

The vertical component is related to the magnitude of the force by the sine ratio:

sin (α) = Fy / | F |

Where α in the angle (-10º), Fy is the vertical component, and | F | is the magnitude of the force (17).

sin(-10º) = Fy / 17 ⇒ Fy = sin (-10º) × 17 = -2.95

3) Form (x,y)

F = (16.74, -2.95)

6 0

3 years ago

A wheel turns through 200 revolutions per minute. How fast does it turn in radians per second?

lana [24]

Answer:

In one second it turns 200 / 60 = 3 1/3 revolutions. Since one revolution is 360°, the answer is 6 2/3 π radians.

6 0

2 years ago

Read 2 more answers

At Andrew Jackson High School, students are only allowed to enroll in AP U.S. History if they have already taken AP World Histor

o-na [289]

Answer:

About 0.22

Explanation:

There are two sets:

Set W of incoming seniors who took AP World History, and

Set E of incoming seniors who took AP European History

And there is a subset, which is the intersection of those two sets:

Subset W ∩ E of senior students who took both.

The incoming seniors who are allowed to enroll in AP U.S. History, call them the subset S, is the set of those students that belong to W or E or both W ∩E.

By property of sets:

S = W + E - W∩E = 175 + 36 - 33 = 178

Then, 178 out of 825 incoming seniors took one or both courses, and the desired probability of a randomly selected incoming senior is allowed to enroll in AP U.S. History is:

178/825 = 0.21576 ≈ 0.22

6 0

3 years ago

Divide using synthetic division: (2x^4+2x^3+-12x^2+x+6)/(x+3)

kap26 [50]

Synthetic division yields

..... || 2 2 -12 1 6

-3 || -6 12 0 -3

= = = = = = = = = = = = = =

..... || 2 -4 0 1 3

which translates to

$\dfrac{2x^4+2x^3-12x^2+x+6}{x+3}=2x^3-4x^2+1+\dfrac3{x+3}$

5 0

2 years ago

PLEASE ANSWER CORRECTLY, DON'T JUST STEAL THE POINTS.

marin [14]

Since you're only asked the ordered pair of D'', it's much easier just to plot and reflect point D twice than to do that for all four points!

Remember that reflecting points is like putting a mirror at the line of reflection or flipping that point over at that line. The reflected point should be the same distance from the line of reflection as the original point.

1) Reflect D over the x-axis to get D'.
D is at (4,1). Draw a line that is perpendicular to the line of reflection and goes through D. D is as far from the line of reflection as D' should be on its other side (both are on that perpendicular line). Since D is 1 unit above the x-axis, that means D' is 1 unit below at (4, -1). See picture 1.

2) Reflect D' over y=x+1 to get D''.
D' is at (4, -1). Draw y=x+1 and the line perpendicular to it going through D''. D'' is the same distance from the line of reflection on the other side. See picture 2. D'' is at (-2, 5).

Answer: D'' is at (-2, 5)

7 0

2 years ago