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
Anna35 [415]
3 years ago
13

What two numbers can add to 4 but multiple to -12

Mathematics
1 answer:
olasank [31]3 years ago
7 0

Answer:

<em>Numbers: 6 and -2</em>

Step-by-step explanation:

<u>Equations</u>

This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.

However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:

x+y=4\qquad\qquad [1]

x.y=-12\qquad\qquad [2]

Solving [1] for y:

y=4-x

Substituting in [2]

x(4-x)=-12

Operating:

4x-x^2=-12

Rearranging:

x^2-4x-12=0

Solving with the quadratic formula:

\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

With a=1, b=-4, c=-12:

\displaystyle x=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-12)}}{2(1)}

\displaystyle x=\frac{4\pm \sqrt{16+48}}{2}

\displaystyle x=\frac{4\pm 8}{2}

The solutions are:

\displaystyle x=\frac{4+ 8}{2}=6

\displaystyle x=\frac{4- 8}{2}=-2

This confirms the preliminary results.

Numbers: 6 and -2

You might be interested in
PLS HELP ILL GIVE BRAINLIEST!
lesantik [10]

Answer:

B

Step-by-step explanation:

-the base angles are 34, so the total value of both base angles is 68

-an isosceles triangle is equal to 180

-subtract 68 from 180 for the answer, so the equation is 68+x=180

hope this helps, comment in you have a question :)

8 0
3 years ago
Read 2 more answers
Which of the following numbers is rational but not an integer?<br> -9 <br>-4.3<br> 0 <br> 3​
Bess [88]

Answer:

0

Step-by-step explanation:

The answer would be 0

7 0
3 years ago
Read 2 more answers
Which inequality does the graph represent?
Bad White [126]

Answer:

The answer is

x < -1

Step-by-step explanation:

I hope it helps!

3 0
2 years ago
It costs $3.45 to buy 5/8 lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts? Explain or show your
arsen [322]
Poopyyyyyyyyyyyyyyyyyyyyy
6 0
3 years ago
What is the volume of the cylinder below? 6 7 4
Drupady [299]

Answer:

I believe the answer is A

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which
    8·1 answer
  • The cost of renting a bicycle is $9 for the first hour plus another $4 for each additional hour. Which of the following represen
    10·2 answers
  • 3. Given: BAM is a right angle. If mBAM=4x+2, then solve for the value of x.
    6·1 answer
  • What is the value of the y-coordinate for point S?
    14·2 answers
  • I WILL GIVE BRAINLIEST! ONLY 5 MINS FIRST TO ANSWER GETS BRAINIEST!
    10·1 answer
  • Jenny has five exam scores of 79,66, 71, 89, and 84 in her biology class. What score does she need on the final exam to have a m
    14·2 answers
  • Which of the summation properties or formulas require the lower index to be 1? Check all that apply.
    12·1 answer
  • What is the slope of the line that passes through the points (4, 8) and (-3, 1)?
    6·1 answer
  • 4<br><img src="https://tex.z-dn.net/?f=4x%20-%203%20%3D%202x%20%2B%207%20find%20x%20" id="TexFormula1" title="4x - 3 = 2x + 7 fi
    11·1 answer
  • Find the angles marked with with letters​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!