What two equivalent ratios for 30 to 6

Hi there!

There are many equivalent ratios for 30:6.

Step by step explanantion:

30:6 when in ratios numbers, you can decide to divide or multiply. I will multiply for this one. 30x2=60 and so that you multiply 2 with 6 also. 2x6 would be 12. 60:12 would be one of them.

For this one I would divide by two/2. Same strategy but dividing, 30 divide 2 would be 15 so we know that the first one is 15. Divide 6 with 2 which would be 3. So for dividing by 2, you’ll get 15:3.

The two equilvalent ratios for 30:6 can be 60:12 and 15:3.

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

i am sure it will be 90 degrees.

step-by-step explanation: