Answer:
■ = 7
Explanation:
Because there two ratios are proportional as a result of being equal.
To find the missing part of the ratio, cross multiply, and solve for ■ by converting them into their equivilent fractions.
i.e a : b = a/b.
So 4 : ■ becomes 4/■. And 8 : 14 becomes 8/14.
i.e a/b = c/d → b × c = a × d → bc = ad
Now 4/■ = 8/14 → ■ × 8 = 14 × 4 → 8■ = 56.
8■/8 = 56/8
1■ = 7
■ = 7
This method works for a missing part pretty much anywhere.
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This is a little faster for ratios:
To find the value of the unknown part of the ratio,
just find the factor between two corresponding numbers, and apply that to the known number corresponding to the unknown part.
4 : ■ = 8 : 14
Notice that 4 corresponds to 8
So the factor between these is 2.
Since from 8 to 4 is a multiple of 1/2. 8 × 1/2 = 4, and 14 × 1/2 = ■.
Therefore ■ = 14 × 1/2 = 14/2 = 7
Answer:
x² - x - 12 = (x - 4)(x - 3)
Step-by-step explanation:
We have the trinomial x² - x - 12.
We have to show two binomials to be factors of this above trinomial.
For this first we have to factorize the trinomial.
Now, x² - x - 12
= x² - 4x + 3x - 12
= x(x - 4) + 3(x - 4)
= (x - 4)(x - 3)
So the binomials are (x - 4) and (x - 3) that are factors of the trinomial x² - x - 12. (Answer)
Answer:
n(B) = 1350
Step-by-step explanation:
Using Venn sets, we have that:
Three values are given in the exercise.
The other is n(B), which we have to find. So
So
n(B) = 1350
The answer is A. (2,2)....
