1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
postnew [5]
2 years ago
6

Pleease help

Mathematics
1 answer:
umka21 [38]2 years ago
4 0
The answer is <span>quantity x minus 2 over 6 open parentheses x plus 12 close parentheses.
</span>

quantity x squared minus 100 (x² - 100) over quantity x squared plus 2 x minus 120 (x² + 2x - 120)<span> divided quantity 6 x plus 60 (6x + 60) over quantity x minus 2 (x - 2) can be expressed as
</span>\frac{ x^{2} -100}{ x^{2} +2x-120} / \frac{6x+60}{x-2}
<span>
Since </span>\frac{a}{b} / \frac{c}{d}= \frac{a}{b} * \frac{d}{c}= \frac{a*d}{b*c}, then:
\frac{ x^{2} -100}{ x^{2} +2x-120} / \frac{6x+60}{x-2}= \frac{(x^{2} -100)*(x-2)}{(x^{2} +2x-120)*(6x+60)} =

Let's simplify some of the factors:
* x² - 100 = x² - 10² = (x - 10)(x + 10)              (since a² - b² = (a - b)(a + b))
* 6x + 60 = 6 * x + 6 * 10 = 6 * (x+10)
* x² + 2x - 120 =  x² + 12x - 10x - 12 * 10 = (x * x - 10 * x) + (12 * x - 12 * 10) = 
                        = x(x - 10) + 12(x - 10) = (x - 10)(x + 12)

Now substitute this into the expression:
\frac{(x^{2} -100)*(x-2)}{(x^{2} +2x-120)*(6x+60)} = \frac{(x-10)(x+10)(x-2)}{(x-10)(x+12)*6(x10)}

We can cancel (x-10)(x+10):
\frac{(x-10)(x+10)(x-2)}{(x-10)(x+12)*6(x10)} =\frac{(x-2)}{(x+12)*6} =\frac{(x-2)}{6(x+12)}

 \frac{x-2}{6(x+12)} is quantity x minus 2 over 6 open parentheses x plus 12 close parentheses.
You might be interested in
A glider is gliding at an altitude of 265 ft. An airplane is flying at an altitude of 35,775 ft. How many times higher is the ai
ArbitrLikvidat [17]

Answer:

If a glider has a 50:1 glide ratio, then it travels 50 feet for every foot of altitude lost. Glide rati

4 0
2 years ago
Please help me answer this question.
Alex787 [66]
1. Change x = 4t into x = 3t

4t\cdot\frac{3}{4}=3t so

y=(\frac{3}{4}t)^2-1=\frac{9}{16}t^2-1

Answer A and D are wrong.

2. Change x = 4t into x = 2t

4t\cdot\frac{1}{2}=2t and

y=(\frac{1}{2}t)^2-1=\frac{t^2}{4}-1

Answer b is correct.

3.  Change x = 4t into x = 8t

4t\cdot2=8t and

y=(2t)^2-1=4t^2-1

Answer C. is correct, E. is wrong.

7 0
3 years ago
Holiday items are on sale at 15% off the original retail price. If tree lights are regularly $12.40 per set, what is the sale pr
Umnica [9.8K]
12.40*(100-15)=10.54
$10.54 cents is the new cost
6 0
3 years ago
Read 2 more answers
Answer each question below.
HACTEHA [7]

Answer:

\huge\boxed{\sf L = 78\°}

Step-by-step explanation:

<h3><u>Given that:</u></h3>

Exterior angle of L = 5x + 12

M = 3x - 2

N = 50

<h3><u>Statement:</u></h3>
  • Exterior angle is equal to the sum of non-adjacent interior angles.

So, the exterior angle that is adjacent to L is equal to the sum of non-adjacent sides (M and N) of the triangle.

Here,

Exterior angle of L = M + N

5x + 12 = 3x - 2 + 50

5x + 12 = 3x + 48

Subtract 12 to both sides

5x = 3x + 48 - 12

5x - 3x = 36

2x = 36

Divide 2 to both sides

x = 18

So,

<h3><u>Measure of angle M:</u></h3>

= 3x - 2

= 3 (18) - 2

= 54 - 2

= 52°

Now,

<h3><u>Measure of angle L:</u></h3>

<u>We know that,</u>

  • Sum of all the interior angles of triangle is 180 degrees.

L + M + N = 180°

L + 52 + 50 = 180

L + 102 = 180

Subtract 102 to both sides

L = 180 - 102

L = 78°

\rule[225]{225}{2}

7 0
2 years ago
Solve for x 3x-8/2=x - 6
Liula [17]

Answer: X=-1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • The following graph shows Barry's monthly phone bill and the number of minutes used. About how many minutes did Barry consume if
    10·1 answer
  • A high school as the department that 40 soccer uniforms at a cost of $3000 after soccer season they return some of the uniform i
    7·1 answer
  • What is the value of the missing exponent?<br> 123,456,789 = 1.23456789 x 10^
    12·1 answer
  • casey is six time as old as Ralph, In two years, she will be four time as old as Ralph. How old is each of them now?
    5·1 answer
  • Joshua drew a triangle. the first angle measured 35, the second angle measured 100, and the third measured 45. what type of tria
    8·1 answer
  • Solve the system using elimination. 3x + 3y = –9 3x – 3y = 21
    8·1 answer
  • 11t - 6t = 45 solve the equation and enter the value of t below ​
    12·2 answers
  • I need major help on this question try your best
    14·1 answer
  • Please answer correctly while showing detailed working ​
    13·1 answer
  • SOMEONE PLEASE HELPPPP
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!