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
eimsori [14]
3 years ago
14

The width of a rectangle is 6 units less than the length. The area of the rectangle is 16 units. What is the length, in units, o

f the rectangle?
Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0

length=8 units

Step-by-step explanation:

  1. LET,
  2. A=16 units
  3. L=a units
  4. B=a-6 units
  5. L*B=A
  6. Replacing value of L with 'a'. and B with 'a-6',
  7. a(a-6)=16
  8. a*a-a*6=16
  9. a^2-6a=16
  10. a^2-6a-16=0
  11. a^2-8a+2a-16=0
  12. a(a-8)+2(a-8)=0
  13. (a-8)(a+2)=0
  14. Either,. a-8=0
  15. first value a=8
  16. Or,. a+2=0
  17. second value a=-2(Rejected due to negative)
  18. therefore, a=L=8
  19. Length=8 units
You might be interested in
30 18 24 4 = 18 make it true
Vesnalui [34]
30-[18-(24\4)] = 18

if you follow pemdas
3 0
2 years ago
Read 2 more answers
1.Which Symbol will make the number sentence - | 16 | _ 16 true?
Dahasolnce [82]
1. =
2.
3.q+4=-4
I don't know number 2
4 0
3 years ago
ASAP<br>Find all solutions to the equation.<br><br><br>7 sin^2 x - 14 sin x + 2 = -5
matrenka [14]

Answer:

{-π/2, π/2}

Step-by-step explanation:

Rewrite this as:

7sin^2 x - 14sin x + 7 = 0.  Reduce this result by dividing all terms by 7:

sin^2 x - 2sin x + 1

Temporarily replace "sin x" with y:

y^2 - 2y + 1 = 0

Solve this through factoring:  (y - 1)^2 = 0, or y - 1 = ± 0, or y = ±1

Recalling that y = sin x, we write

sin x = ±1, whose solutions are sin x = 1 and sin x = -1

The solution of sin x = 1 is π/2 and that of sin x = -1 is -π/2

and so the solution set is {-π/2, π/2}

3 0
2 years ago
3) Katie’s family went out to dinner. The dinner bill was $85 and the family gave the server a 20% tip.
Flura [38]

Answer:

a) actual tip amount is $17

b)  Total of dinner is $102.

Step-by-step explanation:

Given:

Dinner bill = $85

Tip for server = 20%

a) We need to find the actual tip given to server as it is in percent form.

To find actual tip we will divide the tip given to server in percent with total dinner bill and then multiply it with hundred.

Actual Tip amount  = \frac{20}{100} \times 85 = \frac{1700}{100}\ =\$17

In Calculator first we will put 20 multiplied 85 we get 1700 and then in Calculator we will put 1700 and then divide by 100 we get $17

Hence the actual tip amount is $17.

b) We need to find the total of the dinner.

To find total of the dinner we will add dinner bill with actual amount paid to server.

Total of dinner = Dinner bill + Actual tip amount = $85 + $17 =  $102

In Calculator we will first put the number 85 and then add 17 with it which gives 102

Hence Total of dinner is $102.

7 0
3 years ago
Read 2 more answers
What ? need help hear please
RSB [31]
The next number would be 30,000 because the number is multiplying by 10 each times 3,000×10=30,000
5 0
3 years ago
Read 2 more answers
Other questions:
  • For what value of x is 62+15=x+22 true?
    5·1 answer
  • -18=2+5x solve for x
    8·2 answers
  • Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
    9·1 answer
  • Cheddar cheese costs 7.50 for 1 kg Marie buys 200 grams of cheddar cheese how much does she pay
    15·2 answers
  • what is true about every rotation? the image and pre-image are congruent. the image is larger than the pre-image. the image over
    14·2 answers
  • Find the second derivative at the point (1,1), given the function below. 2x^9+1=3y^3
    12·1 answer
  • Find the x- and y-intercept of the line.
    14·1 answer
  • What is the midpoint of CD?<br> • (1/2,-5/2)<br> •(1,-5/2)<br> •(1/2,-3/2)<br> •(1,-3/2)
    12·2 answers
  • Penny is going to fly her plane to her sister's house, which is 544.32 miles away. Penny's airplane flies at an average speed of
    13·1 answer
  • Show that (x+5)^2-(x-5)^2=20x
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!