All categories

3 years ago

(2a2 + ab + 2b) + (4a2 − 3ab + 9)

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

6 0

2a² + ab + 2b + 4a² - 3ab + 9

combine like terms:
2a² + 4a² + ab - 3ab + 2b + 9

6a² - 2ab + 2b + 9

You might be interested in

HELP HELP HELP PLSSSSSS PLSSSSS IT WILL MEAN SO MUCH

Andrej [43]

Answer:

Gara, m to the 6

3 0

3 years ago

Read 2 more answers

Tres compañías de navegación pasan por cierto puerto. La primera cada 8 días; la

lilavasa [31]

I think this is a least common multiple question

So they would all arrive on day 504, (which probably is a few years)

8 = 2 × 2 × 2

18 = 2 × 3 × 3

21 = 3 × 7

I might be right I might be wrong, IM not positively sure but yknow

4 0

2 years ago

What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?

Serggg [28]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-2\\
n=6\\
S_6=-105
\end{cases}$

$\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
\\\\\\
-105=a_1\left( \cfrac{-63}{3} \right)\implies -105=a_1(-21)
\\\\\\
\cfrac{-105}{-21}=a_1\implies 5=a_1$

7 0

3 years ago

1. Write out the law of cosines and find the hypotenuse of triangle with 2 sides lengths equal to three and the included angle m

LUCKY_DIMON [66]

Answer:

1.) $\sqrt{13.341}$ ≈ 3.652

2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.

Step-by-step explanation:

I think we may have the same class so hopefully this helps:

1.) $a^2 = b^2 + c^2 - 2bccosA$ --> law of cosines formula.

$a^2 = 3^2 + 3^2 - 2(3)(3)cos(75)$ --> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.

$a^2 = 18 - 18cos75$ --> in between steps.

$a^2 = 13.341$ --> more simplifying.

$a(hypotenuse) = \sqrt{13.341} or 3.652$ --> answer

2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.

Good luck! :)

6 0

3 years ago

Maynor rode his bike 2 miles in 8 minutes. Paul rode his bike

madam [21]

no because maynor rode 2 miles every 4 minutes and paul rode 3 miles every 4 minutes. not the same

7 0

3 years ago