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2 years ago

Select the correct answer.

Mathematics

1 answer:

Kobotan [32]2 years ago

7 0

3rd Option should be correct

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

olasank [31]

Answer:

Numbers: 6 and -2

Step-by-step explanation:

Equations

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

7 0

3 years ago

Is this graph proportional?

LenKa [72]

Answer:

Yes it is. becaus its even

3 0

2 years ago

Which number is equivalent to 8.35 x 10 4

Radda [10]

Answer:

13423

rtgffyygo 8.35 x 104 it should be that

8 0

2 years ago

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4. What is the correct ratio for sin A? A) 5/12 B) 12/13 C) 5/13 D) 13/12

maxonik [38]

Answer:

sin A = 12 /13

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin A = opp / hyp

sin A = 12 /13

5 0

2 years ago

A book normally costs 21.50. today it was on sale for 15.05. how much is the discount?

arsen [322]

Answer:

$6.45

Step-by-step explanation:

$21.50-$15.05=$6.45

6 0

3 years ago

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