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anygoal [31]
3 years ago
10

The area of a rectangle is 270 square feet. The ratio of the width to length is 5:6. Find the length and width

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0
Width: 122.73
Length: 147.27
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How many solutions are there if m &lt; 0 and p &gt; k ? <br><br><br><br> p + m| x + n| = k
neonofarm [45]

9514 1404 393

Answer:

  2

Step-by-step explanation:

The solutions are ...

  p +m|x +n| = k . . . . . given

  m|x +n| = k -p . . . . . . subtract p

  |x +n| = (k -p)/m = (p -k)/-m . . . . . . must have (p-k)/-m ≥ 0

  x = -n ± (p -k)/-m

For the given conditions, m < 0, p > k, we are guaranteed that (p-k)/-m > 0, so there are 2 solutions.

4 0
2 years ago
-9x - x - 7x² - 6x² + 8 +6<br><br><br><br> Help please
hammer [34]

Answer:

\boxed{ \bold{ \huge{ { \sf{ - 13 {x}^{2}  - 10x + 14}}}}}

Step-by-step explanation:

\sf{ - 9x - x - 7 {x}^{2}  - 6 {x}^{2}  + 8 + 6}

Collect like terms

⇒\sf{ - 7 {x}^{2}  - 6 {x}^{2}  - 9x - x + 8 + 6}

⇒\sf{ - 13 {x}^{2}  - 10x + 8 + 6}

Add the numbers

⇒\sf{ - 13 {x}^{2}  - 10x + 14}

Hope I helped!

Best regards!!

3 0
3 years ago
Read 2 more answers
Q1. Find y, if √12 - √147 + y√3 = 0
o-na [289]

Answer:

Q1. y = 5 Q2.  (√2 - √3)/2

Step-by-step explanation:

Q1

√12 - √147 + y√3 = 0

Taking -√147 and √12 to the right hand side, we have

y√3 = √147 - √12

y√3 = √(3 × 49) - √(3 × 4)

y√3 = √3 × √49 - √3 × √4

y√3 = √3 × 7 - √3 × 2

y√3 = 7√3 - 2√3

y√3 = 5√3

Dividing both sides by √3, we have

y√3/√3 = 5√3/√3

y = 5

Q2

Sin45° - Cos30°

Since Sin45° = √2/2 and Cos 30° = √3/2

Substituting these values into the equation, we have

Sin45° - Cos30° = √2/2 - √3/2

Taking L.C.M of both factors, we have

Sin45° - Cos30° = (√2 - √3)/2

6 0
3 years ago
Complete the synthetic division problem below -3 1 2 -2 3
Anna007 [38]

Answer:

Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.

Step 1: Set up the synthetic division. ...

Step 2: Bring down the leading coefficient to the bottom row.

Step 3: Multiply c by the value just written on the bottom row. ...

Step 4: Add the column created in step 3.

Step-by-step explanation:

hope this helps you :)

4 0
3 years ago
Read 2 more answers
Rationalize the denominator.
mel-nik [20]

Answer:

7sqrt(15) - 5sqrt(6)

------------------------------

45

Step-by-step explanation:

7 -sqrt(10)

-----------------------

3 sqrt(5) *sqrt(3)

7 -sqrt(10)

-----------------------

3 sqrt(15)

Multiply the top and bottom by sqrt(15)/ sqrt(15)

7 -sqrt(10)               sqrt(15)

----------------------- * ------------

3 sqrt(15)                 sqrt(15)


(7 -sqrt(10))* sqrt(15)

-----------------------------------

3 *15

Distribute


7sqrt(15) - sqrt(150)

------------------------------

45

sqrt(ab) =sqrt(a) sqrt(b)

150 = 25*6

7sqrt(15) - sqrt(25)sqrt(6)

------------------------------

45

7sqrt(15) - 5sqrt(6)

------------------------------

45

3 0
3 years ago
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