The length of the subway is 850 miles. If .15 inch represents 45 miles, what is the length of the subway on the map?
2 answers:
Answer:
The length of the subway on the map is
Step-by-step explanation:
we know that
The scale on the map is equal to the length of the subway on the map divided by the length of the subway in the actual
so
Let
z------> the scale on the map
x------> the length of the subway on the map
y------> the length of the subway in the actual
In this problem we have
substitute and solve for x
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Answer: The length of segments between this point and the vertices of greater base are and 18.
Step-by-step explanation:
Let ABCD is the trapezoid, ( shown in below diagram)
In which AB is the greater base and AB = 18 DC= 11, AD= 3 and BC = 7
Let P is the point where The extended legs meet,
So, according to the question, we have to find out : AP and BP
In Δ APB and Δ DPC,
∠ DPC ≅ ∠APB ( reflexive)
∠ PDC ≅ ∠ PAB ( By alternative interior angle theorem)
And, ∠ PCD ≅ ∠ PBA ( By alternative interior angle theorem)
Therefore, By AAA similarity postulate,
Let, DP =x
⇒
⇒ 33 +11x = 18x
⇒ x = 33/7=
Thus, PD=
But, AP= PD + DA
AP=
Now, let PC =y,
⇒
⇒ 77 + 11y = 18y
⇒ y = 77/7 = 11
Thus, PC= 11
But, PB= PC + CB
PB= 11+7 = 18
To express a function of the form 
in vertex form 
where (h,k) is the vertex of the parabola, we need to find the vertex first.
To find the vertex we are going to use the vertex formula:
, and 
will be the function evaluated at 
.
We can infer from our function that
and 
. So lets find :
Now that we have, we can evaluate the function at 1 to find :
We have the vertex (1,3) of our parabola, so we can use its vertex form:
We can conclude that the vertex for of our parabola is <span>f(x) = (x + 1)2 + 3.</span>
To find the vertex we are going to use the vertex formula:
We can infer from our function that
Now that we have
We have the vertex (1,3) of our parabola, so we can use its vertex form:
We can conclude that the vertex for of our parabola is <span>f(x) = (x + 1)2 + 3.</span>