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
Lady_Fox [76]
3 years ago
14

Find the area of the rectangle with a length of 2x+2/x-4 and the width of 3x-12/x^2+6x+5

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0
We're trying to evaluate a fractional expression here:
\frac{2x + 2}{x -4} * \frac{3x - 12}{x^{2} + 6x + 5}

The first thing to do, is factor everything we can. The quadratic factors to (x + 1)(x+5) and the expression above that factors to 3(x - 4). 2x + 2 factors to 2(x + 1).
\frac{2(x + 1)}{x -4} * \frac{3(x - 4)}{(x+1)(x+5)}

It looks a little complicated now, but if we combine the two we can cancel some stuff.

\frac{2(x + 1) * 3(x - 4)}{(x -4)(x+1)(x+5)}

Still looking complicated, but look, we have (x+1) and (x+4) on the top and the bottom, that means they don't matter and we can get rid of them:

\frac{2 * 3}{x+5} = \frac{6}{x+5}

Tada! The area is 6/(x+5). We'd need to know x to go any further!

Need any more explanation?
You might be interested in
Which numbers are to the right of 0 on the number line?
White raven [17]

Positive Numbers are to the right of the number line.

6 0
3 years ago
A box of blueberries is 2/5 full. Janet and her friends had each eaten 1/10 of a box of blueberries. How many people are blueber
anyanavicka [17]

In this problem, we have to find the factor which will make (1 / 10) equal to (2 / 5). Therefore we can write it as:

x (1 / 10) = 2 / 5

where x is the number of people who ate the blueberries

x = (2 / 5) / (1 / 10)

x = 4

 

<span>Therefore 4 people ate the blueberries.</span>

7 0
3 years ago
Read 2 more answers
Question 2 (1 point) (11.01 MC) Nina has a piece of fabric measuring 5 yards. How many 1-inch strips can be cut from the fabric?
maw [93]

Answer:

180 strips

Step-by-step explanation:

Note that:

1 yard = 36 inches

5 yards = x

Cross Multiply

x = 5 × 36 inches

x = 180 inches

Hence:

1 piece of fabric = 180 inches

How many 1-inch strips can be cut from the fabric?

180 inches = 1 piece of fabric

1 inch = x

x = 180 strips

8 0
3 years ago
Determine whether the lines l1 and l2 given by the vector equations are parallel, perpendicular, or neither. L1: r(t) = (-2 + 4t
ss7ja [257]

Over which interval(s) is the function decreasing?

4 0
3 years ago
THIS IS FOR STATISTICS (PAIRED T-TEST)
AleksandrR [38]

Answer:

Oh Ana significa familia

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Find the sum and express it in simplest form. (-5u^2+8u-1 )+(2u^2-6u)
    13·1 answer
  • Billy ran 2/3 and 3/4 miles Heather ran 5/8 miles how much is it in total?
    12·1 answer
  • Sue wrote a doubles fact. It has a sum less than 10 and greater than 4. The addends are each less than 5. What fact might she ha
    12·1 answer
  • Rearrange the formula m =
    10·2 answers
  • Rewrite 2 x 2^4 as an expression as a single power
    7·1 answer
  • Which statements are necessary to prove the two triangles are congruent by SSS? (ASAP HELP PLS!!!)
    13·1 answer
  • A class was conducting a series of probability experiments.
    11·1 answer
  • Plz help im literally crying help me thanks -uwus-
    7·1 answer
  • I need help plzzzzzzo
    15·1 answer
  • Yaritza purchased 9 pints of ice cream for a party. If each guest will be served
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!