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
Nastasia [14]
3 years ago
14

6 times a number is 27 less than the square of that number. Find the positive solution.

Mathematics
1 answer:
Verdich [7]3 years ago
6 0

Let x = your number.

6x = x^2 - 27. Subtract 6x from each side.

0 = x^2 - 6x - 27. Factor

0 = (x-9) (x+3). Set each term equal to zero

(x+3) = 0. Subtract 3 from each side.

x = -3. This is the negative solution.

(x-9) = 0. Add 9 to each side.

x = 9. This is the positive solution.

You might be interested in
Write a short paragraph composes at least 10 sentences<br>discussing factors affecting solubility​
kumpel [21]

Answer:

Step-by-step explanation:

Solubility can be defined as the ability of a solute (could be solid, liquid or gas) to dissolve in a solvent in order to produce a solution. There are several factors affecting solubility which includes (basically four) temperature, polarity, surface area of solute particles and pressure of gases. Generally, an increase in temperature leads to an increase in the solubility of a solute in a solvent. This is because an increase in temperature will increase the average kinetic energy of molecules in the solution which leads to increase interaction between the solute and solvent particles. There is a general saying of "like dissolve like" when discussing polarity. For example, organic solvents are used to dissolve organic solutes (just as petrol is used to wash grease off hands and surfaces). Hence, when the solute and solvent have the same polarity, solubility occurs easily, otherwise solubility may be difficult or may not even occur. A reduced/smaller surface area of the solute leads to an increase in solubility as this makes it easy for the solute particles to interact easily with the solvent. In gases, an increase in pressure increases the interaction between the gaseous molecules of the solute and the solvent, thus leading to an increased solubility. Pressure does not affect solubility in solids and rarely in liquids.

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=10%5Csqrt12%20%2B4%5Csqrt%7B192" id="TexFormula1" title="10\sqrt12 +4\sqrt{192" alt="10\sqrt12
crimeas [40]
Here's the answer :)

5 0
3 years ago
£99 is shared in the ratio 6 : 5<br><br> What is the larger share?
nordsb [41]

Answer:

54

Step-by-step explanation:

6x + 5x = 99

11x = 99

x=99/11

x=9

6x = 6x9 = 54

5x = 5x9 = 45

<em>ans: </em><u><em>54</em></u>

4 0
3 years ago
The measure of a circumscribed angle is equal to 180° minus the measure of the __________
ss7ja [257]
I believe it is an inscribed angle but I am not positive
8 0
3 years ago
Read 2 more answers
1. If you flip a fair coin 10 times, what is the probability of
Angelina_Jolie [31]
1. Getting either all heads or all tails is a 1/1024 chance
2. Rolling a pair of dice and getting a sum of one has a chance of 0
3. Rolling a sum of 5 has a 2 in 21 chance
4. Rolling a sum of 12 has a 1 in 21 chance
5 0
3 years ago
Other questions:
  • CORINA INDRAGESTE FOARTE MULT ANIMALELE IN DAR DE ZIU EI A PRIMIT O CARTE DESPRE LUMEA LOR MINUNATA IN PRIMA ZI EA A CITIT 36 DE
    14·1 answer
  • F(x) = -7x^2+8x+2f(x)=−7x 2 +8x+2
    8·1 answer
  • Victor and his three friends (4 people all together) are planning to split a pizza. They want to spend at most $5 per person. Fi
    12·1 answer
  • Can you simplify these please thank you
    8·1 answer
  • Jeff is having a dinner party. He has a large rectangular table that seats 10 people on each long side and 4 people on the two e
    7·1 answer
  • Which disjunction is always true for any real number x?
    16·1 answer
  • Diego had $420 in his checking account. He made 6 deposits of $35.50 each. He also
    11·1 answer
  • Complete the equation of the line through (6,-6) and (8,8). Y =
    13·1 answer
  • A.f(x)=-3/4x+10<br> B.f(x)=3/4x-10<br> C.f(x)=4/3x+10<br> D.f(x)=-4/3x-10
    10·1 answer
  • Which of the following statements are true?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!