Answer:
50 (mph) = rate of passenger train
Step-by-step explanation:
Let the rate of the freight train = R
Let the rate of the passenger train be R + 30
The freight train has been traveling for 2 + 3 = 5 hours
And the passenger train has been traveling for 3 hours
And they have traveled the same distance when the passenger train overtakes the freight train
So using rate * time = distance we have that
R(5) = (R + 20) 3 simplify
5R = 3R + 60 subtract 3R from both sides
2R = 60 divide both sides by 2
R = 30 (mph) = rate of freight train
R + 20 = 50 (mph) = rate of passenger train
Answer:
The options as included in the attachment section are:
A. real numbers B.Cardinality C.element D.Set
The answer is D. Set
Step-by-step explanation:
In mathematics, a set is a group of well-defined objects that share common characteristics as rightly stated in this question. So in a mathematical calculation, the elements or objects collected as a group is called SET. The types of set include empty set, finite set, infinite set, universal set etc.
- Since set represents the whole collection or group, each object, which can be number, letter etc. in the group is an ELEMENT. Likewise, the cardinality of a set refers to the number of elements contained in a particular set.
Answer:
(x, y) ⇒ (-x, -y)
Step-by-step explanation:
There are a couple of ways you can go at this.
1) Rotation by 180° in either direction is the same as reflection across the origin. That reflection is identical to reflection across both the x- and y-axes, in either order, so negates both coordinates. The transformation rule is ...
(x, y) ⇒ (-x, -y)
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2) The rule for a general rotation by angle α is ...
(x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))
For α = 180°, sin(α) = 0 and cos(α) = -1. This makes the rule for rotation by 180° be ...
(x, y) ⇒ (-x, -y)
Answer:
The Coefficient is 3
Step-by-step explanation:
