For this case we have the following system of equations:
From the first equation we clear "x":
We substitute in the second equation:
We apply distributive property:
We add similar terms:
We add 65 to both sides:
We divide between 22 on both sides:
We look for the value of the variable "x":
Thus, the solution of the system is:
ANswer:
If you are moving the center of circle 2 to the the center of circle 1, then the translation rule is (x,y) ---> (x+4, y+10).
Note how x = 1 turns into x = 5. So we add 4
Also, y = -2 turns into y = 8. We add 10
The scale factor to turn the radius r = 4 into r = 8 is 2. Basically we double the radius. We can divide the two radii to see 8/4 = 2
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Summary:
To go from circle 2 to circle 1, we apply these two transformations
translation: (x,y) ---> (x+4, y+10)
dilation: scale factor 2
note:
if you want to go backwards, go from circle 1 to circle 2, then undo the transformations above
Answer:
879cm
Step-by-step explanation:
Radius is 35cm.
Diameter is 70cm.
Pie/Pi is 3.14 and so on.
Perimeter of circle:70×3.14=219.8
219.8×4=879.2
Round Off:879.2cm
So the question is the original price was $791 and they bought it at the marked down price at $474.60? then they saved $316.40 but i’m not really sure if that’s the question lol
Answer:
450 ounces
Step-by-step explanation:
We know that the cost of the mixture 
must be the cost of the everyday moisturizing lotion 
plus the cost of the self-tanning lotion 
, which means 
.
The cost of any substance will be the cost per ounce of the substance (c), multiplied by the number of ounces (n), which means C=nc, so we have from the previous formula that we have:
But we also know that the number of ounces of the mixture must be the sum of the number of ounces of the everyday moisturizing lotion with the number of ounces of the self-tanning lotion, so we have
We want to calculate the number of ounces of the self-tanning lotion (
), so we solve for that variable:
And substitute our values in this formula, to get:
