700,000, you round up because 29,314 is below 50k.
Answer: 700 miles.
Step-by-step explanation:
1. You know that 23% of the total distance of the flight from Albuquerque New Mexico to Austin Texas is 161 miles.
2. Then, keeping that information on mind, you can calculate the total distance of the flight (which you call
) as following:

Solve for
. Then, you obtain that the result is:

Using translation concepts, the transformations are given as follows:
a) The function is horizontally compressed by a factor of 3 and shifted down one unit.
b) The function is shifted right 3 units and vertically stretched by a factor of 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Item a:
The transformations are:
- x -> 3x, hence the function is horizontally compressed by a factor of 3.
- y -> y - 1, hence the function is shifted down one unit.
Item b:
The transformations are:
- x -> x - 3, hence the function is shifted right 3 units.
- y -> 2y, hence the function is vertically stretched by a factor of 2.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
HIG=28°
Step-by-step explanation:
HI is a diameter therefore it's measure is 180°
HI-IG=HG
180-128=HG
52°=HG
HIG=1/2HG
HIG=1/2(56°)
HIG=28°
Answer:
A.-12x^2-5x-102
Step-by-step explanation:
We are given a polynomial of degree 2 where terms are not grouped and simplified.
We have
-21x^2+22x^2-13x^2-10x+5x-102
To get this in proper form we have to group the like terms first
x^2 term = -21x^2+22x^2-13x^2 = x^2 (-21+22-13)
= x^2(-34+22) = -12x^2
x terms are -10x+5x = x(-10+5) = -5x
Constant term is only one = -102
Hence the polynomial in simplified form is
-12x^2-5x-102