Answer:
f(2) = 32
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x² + 2x + 16
f(2) is x = 2
<u>Step 2: Evaluate</u>
- Substitute: f(2) = 3(2)² + 2(2) + 16
- Evaluate: f(2) = 3(4) + 2(2) + 16
- Multiply: f(2) = 12 + 4 + 16
- Add: f(2) = 32
And we have our answer!
Answer:
Please find the solution in the image attached below.
Step-by-step explanation:
Tcos60 -2T sin(90-theta) = 0
Tcos60 = 2T(cos theta)
cos 60 = 2cos theta
cos60 = 2cos theta
1/4 = cos theta
theta = 75.5
So the angle to the vertical = 90-75.5 = 14.5
S
Resolving perpendicular
Tsin60 + 2Tsin75.5 - 2g = 0
T(sin 60 + 2sin75.5) = 2g
T = 19.6/sin 60 + 2sin75.5
T = 19.6/1.936 + 0.866
T = 19.6/2.802 = 7.0N
Hope this helps!
Okay the question is simple provided you understand what these 4 terms mean. I imagine that must be the sticking point here.
In the geometric sense, similarity means one thing scales to another. This doesn't make a huge amount of sense with regards to a single length. But if you have a triangle of lengths 3,4,5 and another of lengths 6,8,10, these are similar because it is all in the same proportion. The only difference is one is twice as large in the length sense.
Collinear means on the same line. Again this doesn't make a huge amount of sense in this context, usually we refer to points being collinear, for example (1,1), (2,2) and (3,3) are all on the same line y = x. In this context, it is saying that both diagonals are exactly the same line, which doesn't make sense.
Congruence, in the geometric sense, means the same. A 3,4,5 triangle can only be congruent to another 3,4,5 triangle. This then is saying that the lengths of the two diagonals are the same in a rhombus. This is indeed true, a property that can be proved using elementary vector geometry.
Finally we have perpendicularity, the property in two dimensions whereby two lines have an angle of 90 degrees between them. In fact only a very special rhombus will have this property, a square. Hence this isn't likely to be the answer to the question because it is not true for all rhombi.
The answer is congruent. I hope this helps :)
Answer:
56
Step-by-step explanation:
a + 89 + b
Let a= 12 and b = -45
12 + 89 - 45
101-45
56
Answer:
1/10
Step-by-step explanation:
you can simply show the cancellation of the zeros
