Answer:
1 A, 2c, 3A,
4 P= 2(6x-1) + 2(2) P=12x +2
Step-by-step explanation:
Answer:- a.The given expression is equivalent to 
Given expression:- ![[\frac{(3xy^{-5})^3}{(x^{-2}y^2)^{-4}}]^{-2}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%283xy%5E%7B-5%7D%29%5E3%7D%7B%28x%5E%7B-2%7Dy%5E2%29%5E%7B-4%7D%7D%5D%5E%7B-2%7D)
![=[\frac{(3)^3x^3y^{-5\times3}}{x^{-2\times-4}y^{2\times-4}}]^{-2}.........(a^m)^n=a^{mn}](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B%283%29%5E3x%5E3y%5E%7B-5%5Ctimes3%7D%7D%7Bx%5E%7B-2%5Ctimes-4%7Dy%5E%7B2%5Ctimes-4%7D%7D%5D%5E%7B-2%7D.........%28a%5Em%29%5En%3Da%5E%7Bmn%7D)
![=[\frac{27x^3y^{-15}}{x^8y^{-8}}]^{-2}](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B27x%5E3y%5E%7B-15%7D%7D%7Bx%5E8y%5E%7B-8%7D%7D%5D%5E%7B-2%7D)
![=[27x^{3-8}y^{-15-(-8)}]^{-2}............\frac{a^m}{a^n}=a^{m-n}](https://tex.z-dn.net/?f=%3D%5B27x%5E%7B3-8%7Dy%5E%7B-15-%28-8%29%7D%5D%5E%7B-2%7D............%5Cfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D)
![=[27x^{-5}y^{-7}]^{-2}=(27)^{-2}(x^{-5})^{-2}(y^{-7})^{-2}.........(a^m)^n=a^{mn}](https://tex.z-dn.net/?f=%3D%5B27x%5E%7B-5%7Dy%5E%7B-7%7D%5D%5E%7B-2%7D%3D%2827%29%5E%7B-2%7D%28x%5E%7B-5%7D%29%5E%7B-2%7D%28y%5E%7B-7%7D%29%5E%7B-2%7D.........%28a%5Em%29%5En%3Da%5E%7Bmn%7D)
Thus a. is the right answer.
Andy's equation is incorrect and the correct equation of the line is y + 2= 3/4(x - 3)
<h3>How to determine the equation of the line?</h3>
The given parameters are:
Slope, m = 3/4
Point, (x,y) = (3,-2)
The equation of the line is calculated using:
y - y1 = m(x - x1)
Substitute the known parameters
y + 2= 3/4(x - 3)
From the question;
Andy's equation is y + 2 = 3/4(x - 9/4)
The above equation is different from the actual equation y + 2= 3/4(x - 3)
Hence, Andy's equation is incorrect and the correct equation of the line is y + 2= 3/4(x - 3)
Read more about linear equations at:
brainly.com/question/1884491
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Answer:
4 units
Step-by-step explanation:
The complete question is
BD and AC are chords that intersect at point Y. A circle is shown. Chords B D and A C intersect at point Y. The length of B Y is 3, the length of Y D is 8, the length of A Y is x, and the length of Y C is 6. What is the length of line segment AY?
The picture of the question in the attached figure
we know that
The Intersecting Chord Theorem states that: When two chords intersect each other inside a circle,the products of their segments are equal.
do
In this problem
substitute the given values
solve for x
therefore
The length of segment AY is 4 units
8 packs of hot dogs and 6 packs of rolls. 8x6=48.
