2x^2-12x+18=0
Factor out GCF
2(x^2-6x+9)
Factor trinomial
(x-3)(x-3)
Proof
-3-3=-6
-3^2=9
Zeros
x-3=0
x=3
Final answer: B
Answer:
10
Step-by-step explanation:
The number of tiles in the design is 1 + 2 + 3 + ...
We can model this as an arithmetic series, where the first term is 1 and the common difference is 1. The sum of the first n terms of an arithmetic series is:
S = n/2 (2a₁ + d (n − 1))
Given that a₁ = 1 and d = 1:
S = n/2 (2(1) + n − 1)
S = n/2 (n + 1)
Since S ≤ 60:
n/2 (n + 1) ≤ 60
n (n + 1) ≤ 120
n must be an integer, so from trial and error:
n ≤ 10
Mr. Tong should use 10 tiles in the final row to use the most tiles possible.
Yes it is 200. If its not 5 or more you round down, in this case 50 or more.
Based on the information given, it has been calculated that they value of x will be 0.9646.
<h3>
Solving triangles</h3>
Based on the information given, it should be noted that the sine formula will be used.
Therefore, the equation to solve the question will be:
Sin 16° = x/3.5
x = Sin 16° × 3.5
x = 0.2756 × 3.5
x = 0.9646
Learn more about triangles on:
brainly.com/question/17335144
Answer:
2.5 km/h
Step-by-step explanation:
Here we have a distance problem where we are given the distance the time time:
Rate = ?
Time = 2hrs
Distance = 5km
The simplest way to do this is to rearrange the formula to suit our need and plug in the numbers:
Now, plug in the numbers and solve:
