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Westkost [7]
2 years ago
12

May someone help me with this factor equation?

Mathematics
1 answer:
raketka [301]2 years ago
6 0

Answer:

\frac{x^2+8x+9}{(x+3)(x-1)}

Step-by-step explanation:

\frac{2x}{x^2+2x-3} + \frac{x+3}{x-1} ← factor the denominator of first fraction

= \frac{2x}{(x+3)(x-1)}  + \frac{x+3}{x-1}

Before adding we require the denominators to be the same

Multiply numerator/denominator of second fraction by (x + 3)

= \frac{2x}{(x+3)(x-1)} + \frac{(x+3)(x+3)}{(x+3)(x-1)}

Add the numerators leaving the common denominator ( LCD = (x + 3)(x - 1) )

= \frac{2x+(x+3)(x+3)}{(x+3)(x-1)} ← expand factors on numerator using FOIL

= \frac{2x+x^2+6x+9}{(x+3)(x-1)}

= \frac{x^2+8x+9}{(x+3)(x-1)}

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I’ve never been so confused, this is due in a few minutes, pls help if you can!
algol13

Given:

m(ar QT) = 220

m∠P = 54

To find:

The measure of arc RS.

Solution:

PQ and PT are secants intersect outside a circle.

<em>If two secants intersects outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$\Rightarrow \angle P = \frac{1}{2} (m \ ar (QT) - m \ ar (RS ))

$\Rightarrow 54 = \frac{1}{2} (220- m \ ar (RS ))

Multiply by 2 on both sides.

$\Rightarrow 2 \times 54 = 2 \times  \frac{1}{2} (220- m \ ar (RS ))

$\Rightarrow 108= 220- m \ ar (RS )

Subtract 220 from both sides.

$\Rightarrow 108-220= 220- m \ ar (RS )-220

$\Rightarrow -112= -m \ ar (RS )

Multiply by (-1) on both sides.

$\Rightarrow (-112)\times(-1)= -m \ ar (RS )\times(-1)

$\Rightarrow 112= m \ ar (RS )

The measure of arc RS is 112.

6 0
3 years ago
8, 2, 0, 2, 8, 18<br> What are the next three numbers in the sequence?<br> What is the pattern?
Tom [10]

Answer:

22,40,62

Step-by-step explanation:

0+2=2  2+6=8 8+10=18

2 6 10 14 18 22 four in between

so you will add these numbers each time

18+14=22  22+18=40  40+22=62

4 0
3 years ago
What is the simplest form of 3/27a2b7?
krok68 [10]

Answer:

the solution is A

Step-by-step explanation:

\sqrt[3]{27a^{3}b^{7}  } \\

\sqrt[3]{(3)^3(a^3)(b^6)b}\\\\3ab^2\sqrt[3]{b}

4 0
3 years ago
Read 2 more answers
Find the perimeter of a square measuring 5.35 cm on a side.
Alik [6]
Perimeter = 5.35 * 4 = 21.4 cm
5 0
3 years ago
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1.) There are 16 juniors and 8 seniors in the Chess Club. If the club
Lena [83]

Answer:

1.) There are 16 juniors and 8 seniors in the Chess Club. If the club  members decide to send 9 juniors to a tournament, how many different  possibilities are there?  

(16 over 9) = 16!/(9!*7!) = 11440

2.) How many different ways can 3 cards be drawn from a deck of 52  cards without replacement?  

52*51*50 = 132600

3.) How many different ways can 3 cards be drawn from a deck of 52  cards with replacement?  

52^3 = 140608

4.) A corporation has 5 officers to choose from which 3 are selected  to comprise the board of directors. How many combinations are there?

(5 over 3) = 5!/(3! * 2!) = 10

5.) A combination lock has the numbers 1 to 40 on each of three  consecutive tumblers. What is the probability of opening the lock in  ten tries?

10/40^3 = 1/6400

7 0
3 years ago
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