All categories

3 years ago

Which expression shows the sum of the polynomials with like terms grouped together? 10x^2y+2xy^2-4x^2-4x^2y

Mathematics

2 answers:

KIM [24]3 years ago

5 0

The answer to the question

USPshnik [31]3 years ago

4 0

Answer:

6x²y+2xy²-4x²

Step-by-step explanation:

Like terms are terms that have the same variables and exponents.

In the given problem, the only like terms are 10x²y and -4x²y; adding these gives us 6x²y. Bringing down the rest of the terms gives us

6x²y+2xy²-4x²

You might be interested in

ANSWER FAST!!!!!!!

Lemur [1.5K]

Answer:

The angle between the 190 ft. side and the 330 ft. side is $57.9^o$

Step-by-step explanation:

The Law of Cosines

When we know the value of all sides of a triangle, we can compute all of its interior angles by using the Law of Cosines, which is a generalization of the Pythagoras's theorem. If a,b, and c are the known sides of a triangle and $\alpha$ is the angle formed by sides a and b (opposite to c), then

$\displaystyle c^2=a^2+b^2-2ab\ cos\alpha$

We'll use the values a=190, b=330, c=280 because we want to compute the angle opposite to c

$\displaystyle cos\alpha =\frac{a^2+b^2-c^2}{2ab}$

$\displaystyle cos\alpha =\frac{190^2+330^2-280^2}{2(190)(330)}$

$\displaystyle cos\alpha =\frac{36100+108900-78400}{125400}$

$\displaystyle cos\alpha =\frac{66600}{125400}=0,5311$

$\displaystyle \alpha= arccos\ 0.5311$

$\boxed{\displaystyle \alpha= 57.9^o}$

5 0

3 years ago

You answered 14 questions correctly on a 15-question quiz. what percent did you receive on the quiz?

Ira Lisetskai [31]

Answer:

93.3

Step-by-step explanation:

3 0

3 years ago

What is the equation of the graphed line written in

Ghella [55]

Answer:

X-Y=-3

Step-by-step explanation:

6 0

3 years ago

1..A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 26

statuscvo [17]

Answer:

See below for answers and explanations (along with a graph attached)

Step-by-step explanation:

Part A

The amplitude of a sinusoidal function is half the distance between the maximum and the minimum. It is given to us that the distance from the highest and lowest point is 6 feet, so our amplitude is 6/2 = 3 feet

Part B

The graph's function would be in the form of $y=acos(bx+c)+d$ where $a$ is the amplitude, $\frac{2\pi}{b}$ is the period, $-\frac{c}{b}$ is the phase/horizontal shift, and $d$ is the average/midline.

We already know our amplitude of $a=3$ from part A.

Since our period is given to us as 26 seconds, then we can use the equation $\frac{2\pi}{b}=26$ to find $b$ , which happens to be $b=\frac{\pi}{13}$ .

Since the cosine function starts at its maximum and we want it to start at the average where the bottle travels up, we would need to use the cofunction identity $sin(x)=cos(x-\frac{\pi}{2})$ which shifts the cosine graph $\frac{\pi}{2}$ units to the right. This means that $c=-\frac{\pi}{2}$ , making our phase shift $-\frac{c}{b}=-\frac{-\frac{\pi}{2}}{\frac{\pi}{13}}=6.5$ , or 6.5 feet to the right

Our average/midline would be $d=12$ as given as the average height by the problem.

Therefore, the function is $f(x)=3cos(\frac{\pi}{13}x-\frac{\pi}{2})+12$

Part C

Using our determined function from Part B, by looking at its graph, we see that the bottle will reach its lowest height of 9 feet after 19.5 seconds (see attached graph).

5 0

2 years ago

Read 2 more answers

Help please!!!!!!!!!!

liberstina [14]

Answer:

the answer should be 48cm or 36cm if you need the working it will be my pleasure

4 0

2 years ago