Half of the product of two consecutive numbers is 105. to solve for n, the smaller of the two numbers, which equation can be used? a.) n^2 + n – 210 = 0 b.) n^2 + n – 105 = 0 c.) 2n^2 + 2n + 210 = 0 d.) 2n^2 + 2n + 105 = 0

A

Step-by-step explanation:

Consecutive nnumbers are spaced 1 units apart.

Such as 4,5,6,...

or 12,13,14,...

Thus,

if smaller number is n, then the next number (consecutive) is n+1

Since, half of the product of them is 105, we can write the equation as:

We can do some algebra and make it in quadratic form as shown below:

Answer choice A is right.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: