Why is math important in every day life?
2 answers:
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Answer:
The graph shifts 7 units left and 2 units up.
Step-by-step explanation:
In transformations, when a number is added or subtracted to "x" directly, that is the left/right shift.
When a number is added or subtracted outside of the "rest" of the equation, that is the up/down shift.
I learned transformations with these variables:
"a" - vertical stretch (a > 1) or compression (0 < a < 1)
"k" - horizontal stretch (0 < k < 1) or compression (k > 1)
"c" - translate left (+) or right (-)
"d" - translation up (+) or down (-)
The untranslated graph is centred around the origin f(x) = 1/x
f(x) begins 3 units right and 1 unit up of the untranslated graph.
g(x) is 4 units left and 3 units up of the untranslated graph.
y
g |
| f
-----------|------------ x
There is a 7 units translation left and 2 units translation up.
Answer:
a
the displacement of the plane is
b
The displacement of plane from Portland to Akron with layover at Houston is
c
the vector which defines this displacement is
Step-by-step explanation:
From the question we are the
The displacement from Portland, Oregon to Houston, Texas. is
The displacement from Houston, Texas to Akron, Ohio. is a
a
The motion of the plane in question a is in the opposite direction to vector
So the displacement of the plane is
b
The motion of Portland to Houston to Akron is in the direction of both vector and
so
The displacement of plane from Portland to Akron with layover at Houston is
c
From the question we are told that the plane flies over Portland to get to Anchorage, Alaska which implies that it is moving in opposite direction to the vector
Give that distance from Portland to Houston is
and the distance from Portland to Anchorage is km
Then the vector which defines this displacement is mathematically represented as