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frozen [14]
3 years ago
9

The area of a rectangular rug is given by the trinomial r^2 - 8r - 33. What are the possible dimensions of the​ rug? Use factori

ng.
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
5 0
Solve for r using factoring:
Solve for r:
r^2 - 8 r - 33 = 0


The left hand side factors into a product with two terms:
(r - 11) (r + 3) = 0

Split into two equations:
r - 11 = 0 or r + 3 = 0

Add 11 to both sides:
r = 11 or r + 3 = 0

Subtract 3 from both sides:
Answer:  r = 11 or r = -3
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Please help me with the following questions. Thanks in advance!!
Orlov [11]

Answer:

Step-by-step explanation:

Eight

590 = 1800 e^(-0.4t)     Divide by 1800

0.32778 = e^(-0.4t)       Put the value for e in the denominator.

0.32778 = 1 / e^(0.4t)   Notice the sign's gone. Multiply both sides by e^(0.4t)

0.32778 *e^(0.4t) = 1    Divide by 0.32778

e^(0.4t) = 3.0508          Take the natural log of both sides.

0.4t = 1.11542                 Divide both sides by 0.4

t = 2.78855

You should put this in the original equation to see if it checks. It does.

=============================

Nine

3^(3 - 3x) + 6 = 42         Subtract 6 from both sides

3^(3 - 3x) = 36               Take the log of both sides.

(3 - 3x) ln(3) = ln 36

(3 - 3x) *1.098612 = 3.58352   Divide by 1.098612

3 - 3x = 3.26186             Subtract 3 from both sides

- 3x = 0.26186                 Divide by - 3

x = - 0.087287    

4 0
3 years ago
A = ?<br> b = ?<br> Please explain as well :)
sweet [91]

Answer:

a = 25 , b = 14

Step-by-step explanation:

For A

a/5 + 3 = 8

a/5 = 8 - 3

a/5 = 5

Cross multiply

a = 5 * 5

a = 25

For B

3b/7 - 1 = 5

3b/7 = 5 + 1

3b/7 = 6

Cross multiply

3b = 42

b = 42 / 3

b = 14

Hope it will help

5 0
3 years ago
Last year 64 new houses were built in the neighborhood so far this year 5/8 of them have been sold. How many new houses have bee
Mariana [72]

5/8 of the total has been sold, so we just do 64*5/8=40 houses that had been sold this year. Hope this helped!

7 0
3 years ago
A man is now twice as old as his son. fifteen years ago he was three times as old as his son was then. How old is the son now​
Sergio039 [100]

Answer:

Step-by-step explanation:

25 years old.

3 0
3 years ago
Which simplified fraction is equal to 0.53 repeat ? A.24/46 B.8/15 C.42/90 D.5/9
murzikaleks [220]

Answer:

To see how these fractions are equal, I divided the numerators by the denominators. For instance, you could have 4 over 5 (4/5) and divide 4 by 5 (4/5) to get 0.8. Now you'll do the same thing for the fractions given

24/45=0.533...

8/15=0.533...

48/90=0.533...

5/9=0.5556

As you can see, the only fraction that doesn't equal 0.53, or the outlier, is 5/9 or 0.5556

Step-by-step explanation:

8 0
3 years ago
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