Answer:
x=7
Step-by-step explanation:
3x-9=12
add 9 to both sides
3x=21
divide both sides by 3
x=7
Answer:
A translation, followed by a dilation with a certain scalefactor, will map circleE onto circleC, thus proving that the circles are similar.
Step-by-step explanation:
A circle is defined as the set of points equidistant from a given point. Which means any circle is defined by only one length - the radius.
Proof:
• Move the center of the smaller circle (with centre E) onto the center of the larger circle (with centre C).
Translate circle E, by vector EC, onto circle C. The circles are now concentric (both circles have the same center).
• A dilation is needed to increase the size of circle E to coincide with circle C.
A specific scalefactor (number) is needed, so, that when you multiply radius r1 with that factor, it will result in radius r2.
• A translation, followed by a dilation with a certain scalefactor, will map circleE onto circleC, thus proving that the circles are similar.
Answer:
-60
Step-by-step explanation:
It would be x=1/3 (y+4)^(1/2)
Answer:
a + b = 5
Step-by-step explanation:
To solve this system of equations, we can use a strategy called elimination, which is when we get rid of a variable by adding/subtracting two equations.
Firstly, we want to make sure the absolute value of the coefficients that equal.
Lets eliminate b:
4a + 6b = 24
Multiply both sides by 2:
8a + 12b = 48
We also have:
6a - 12b = -6.
Now lets add that with
8a + 12b = 48
-> 6a + 8a + 12b - 12b = 48 -6
-> 14a = 42
-> a = 3
Now that we know a, lets plug it into one of our original equations:
4(3) + 6b = 24
12 + 6b = 24
6b = 12
b = 2
Finally, add the two values we found:
a+b = 2+3= 5