HEYA!!!!!
In first equation multiply 3,
In second equation multiply 2...
On solving the equation,
Hope it helps you..
:)
Answer:
The greatest number of arrangements that he can make if every balloon is used is 8.
Step-by-step explanation:
The greatest number of arrangements will be the greatest common factor between 24 and 32.
GCF of 24 and 32:
We keep factoring both numbers by prime factors, while they can both be divided by the same number. So
24 - 32|2
12 - 16|2
6 - 8|2
3 - 4
There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.
This means that the greatest number of arrangements that he can make if every balloon is used is 8.
The <em>correct answer</em> is:
Translation.
Explanation:
A translation is a "slide" of a figure. Since it "slides" the figure, it moves every point the same direction and the same distance.
Since the size and shape of the figure is preserved, a translation is an isometry.
This scenario is representing an exponential decay function.
Each time you are removing half, which will be the same as divided by two.
1, 1/2 1/4, 1/8, 1/16. You can see in the denominator the powers being applied. The values are decreasing which is why it is a decay.
The equation of a line is given by:
y - y1 = m ( x - x1 )
You are given m = -3
And the point (-2 , 4)
Sub these values into the equation,
y - 4 = -3 ( x - (-2))
y - 4 = -3 ( x + 2 )
y - 4 = -3x - 6
y = -3x - 2
Hope this helped! Ask me if there's any part of the working you don't understand :)
