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Talja [164]
3 years ago
10

Which is true about the completely simplified difference of the polynomials 6x^6 − x^3 y^4 − 5x y^5 and 4x^5 y + 2x^3 y^4 + 5x y

^5?
Mathematics
1 answer:
mr_godi [17]3 years ago
4 0

We know that it is a 7th degree polynomial with 4 terms.

In order to find this, we must first do the subtraction.

6x^6 − x^3 y^4 − 5x y^5 - (4x^5 y + 2x^3 y^4 + 5x y^5)

Then we can simplify using like terms.

6x^6 - 4x^5y - 3x^3y^4 - 10xy^5

You'll see the 4 terms in the final answer. You'll also see that the term with the highest number of variables is -3x^3y^4, which has 3 x's and 4 y's for a total of 7. This makes this a 7th degree polynomial.

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7:8:9=__:12:__ find the blanks. They are ratios PLEASE HELP
salantis [7]

Answer:  <em>7:8:9 = 10.5:12:13.5</em>

Step-by-step explanation:

Suppose,  7:8:9= x:12:y

Now according to the ratio, the equations will be........

\frac{7}{8}=\frac{x}{12}\\ \\ 8x=7*12=84\\ \\ x=\frac{84}{8}=10.5

and

\frac{8}{9}=\frac{12}{y}\\ \\ 8y=9*12=108\\ \\ y=\frac{108}{8}=13.5

So, the ratio will be  7:8:9 = 10.5:12:13.5

8 0
4 years ago
Read 2 more answers
What is 2,020 divided by 75 as a decimal?
Alexandra [31]

Answer:

The answer is 0.075.

Step-by-step explanation:

5 0
4 years ago
F(–7) if f(x) = 3x + 6
drek231 [11]

Step-by-step explanation:

f(–7) if f(x) = 3x + 6

3(-7) +6

-21+6

x= - 15

5 0
3 years ago
What is the total area of the figure above ?
fenix001 [56]

Answer:

10*10/2=50

20^2-10^2=100

10*10/2=50

50+50=100

Step-by-step explanation:

8 0
3 years ago
Un topógrafo usa un instrumento llamado teodolito para medir el ángulo de elevación entre el nivel del piso y la cumbre de una m
posledela

Answer:

La altura de la montaña es 2848,80 m.

Step-by-step explanation:

Un topógrafo usa un instrumento llamado teodolito para medir el ángulo de elevación entre el nivel del piso y la cumbre de una montaña. En un punto, se mide un ángulo de elevación de 41°.

La función trigonométrica tangente  se define como:

tan (angulo)=\frac{cateto opuesto}{cateto adyacente}

Entonces, siendo h altura de la montaña  e y la distancia de la base de montaña a donde se realiza la medición, la distancia de esta primera observación del topógrafo entre el nivel del piso y la cumbre de una montaña es:

tan (41)=\frac{h}{x}  Ecuación (A)

Medio kilómetro más lejos de la base de la montaña, el ángulo de elevación medido es de 37°. Entonces:

tan (37)=\frac{h}{x+500m}  Ecuación (B)

Entonces, despejando h de la ecuación (A):

h= tan(41)* x

Reemplazando la expresión en la ecuación (B):

tan (37)=\frac{tan(41)*x}{x+500m}

Resolviendo:

tan(37)*(x+500)=  tan(41)* x

0,754*( X +500) = 0,869*X

0,754*X + 377 = 0,869*X

377= 0,869*X -0,754*X

377= 0,115*x

377÷0.115= x

x= 3278,26 m

Entonces, reemplazando en la expresión h= tan(41)* x:

h= tan(41)* 3278,26 m

Resolviendo:

h = 0,869 *3278.26 m  

h = 2848,80 m

<u><em>La altura de la montaña es 2848,80 m.</em></u>

En la imagen adjunta se puede observar una representación gráfica de las medidas utilizadas en el problema.

4 0
3 years ago
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