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3 years ago

What is the greatest common factor of the polynomial 40x^7+135x^4+5x^4?

Mathematics

2 answers:

IceJOKER [234]3 years ago

8 0

5x^4
.........................

Tatiana [17]3 years ago

3 0

5x^4 the answer to the question

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How many solutions exist for the given equation?

olya-2409 [2.1K]

Answer would be a zero

6 0

4 years ago

Read 2 more answers

Find the area of a triangle with a =33, b =51, and c =42.

PolarNik [594]

Answer:

d. 690.1 units²

Step-by-step explanation:

1. You can use the Heron's formula to calculate the area of the triangle, which is:

$K=\sqrt{s(s-a)(s-b)(s-c)}$

Where:

$s=\frac{a+b+c}{2}$

2. Calculate $s$ :

$s=\frac{33+51+42}{2}\\s=63$

3. Substitute values into the formula shown above and calculate the area, as following:

$K=\sqrt{63(63-33)(63-51)(63-42)}\\K=690.1units^{2}$

4. Therefore, the area is 690.1 units².

4 0

3 years ago

Use Cramer's Rule to solve the following system: –2x – 6y = –26 5x + 2y = 13

andriy [413]

$\bf \begin{cases}
-2x-6y&=-26\\
\quad 5x+2y&=13
\end{cases}\stackrel{\textit{determinant of the coefficients}}{D=
\begin{bmatrix}
-2&-6\\5&2
\end{bmatrix}}\implies (-4)-(-30)
\\\\\\
D=-4+30\implies \boxed{D=26}\\\\
-------------------------------\\\\$

$\bf x=\cfrac{D_x}{D}\implies x=\cfrac{
\begin{bmatrix}
\boxed{-26}&-6\\\\ \boxed{13}&2
\end{bmatrix}}{D}\implies x=\cfrac{(-52)-(-78)}{26}
\\\\\\
x=\cfrac{-52+78}{26}\implies x=\cfrac{26}{26}\implies \boxed{x=1}\\\\
-------------------------------\\\\
y=\cfrac{D_y}{D}\implies y=\cfrac{
\begin{bmatrix}
-2&\boxed{-26}\\\\ 5&\boxed{13}
\end{bmatrix}}{D}\implies y=\cfrac{(-26)-(-130)}{26}
\\\\\\
y=\cfrac{-26+130}{26}\implies y=\cfrac{104}{26}\implies \boxed{y=4}$

4 0

4 years ago

Convert 0.533333... to a fraction. (only the 3 is repeating) Please show the work!!

amm1812

Let x = 0.5333333333 ...

So 100x = 53.3333333333 ...
and 10x = 5.3333333333 ...
---------------------------------
90x = 53 – 5 = 48.

So x = 48/90 = 8/15 after reduction to lowest terms (by factor of 6)
0.3333... = ⅓. and that 0.5 = ½.

So 0.533333... = 0.5 + 0.0333333...0.5 + 0.3333.../10 = 1/2 + (1/3)/10 = 1/2 + 1/30 = 16/30 = 8/15

6 0

3 years ago

If g(x)=3f(x)-8 and f(x)=10-x to the second, then what if the value of g(-2)

babymother [125]

Answer:

Step-by-step explanation:

g(x)=3(10-x)^2-8

=3(12)^2-8

=144*3-8

=432-8

=424

7 0

3 years ago