Answer:
- coordinates of B are (9,-27).
- coordinates of C' are : (12,18)
Step-by-step explanation:
The image of a triangle after it has been dilated with a center at the origin has vertices at A’(-12,6) B’(6,-18) and C’ .
Point A has coordinates of (-18,9) and the pre- image of C' point C has coordinates of (18,12).
Clearly when we compare point A and point A' we see that the transformation is a dilation.
let the scale factor of dilation is 'k'.
i.e. A→ A'
i.e. k(-18,9)=(-12,6)
(-18k,9k)=(-12,6)
i.e. -18k=-12
and 9k=6
Hence, on solving we get:
k=2/3
i.e. the scale factor is 2/3.
Also,
we find the coordinates of B(c,d) by:
2/3(c,d)=(6,-18) since B→ B'
2/3×c=6
Hence c=9
and 2/3 ×d=-18
d=-27.
Hence, the coordinates of B are (9,-27).
Also the coordinates of C are (18,12)
Hence, coordinates of C' are:
Hence, the coordinates of C' are : (12,18)
Answer:
-2
Step-by-step explanation:
Rise/run
Answer:
The value of the stock can be found by: x × 1.26.
Step-by-step explanation:
The value of the stock in year one can be found by multiplying x by 1.4. This will represent a 40% increase in value. The following year, the stock decreases in value by 10%; this is represented by multiplication by 0.9. For example, if the value of the stock was $5:
5 × 1.4 = 7 (A 40% increase in value)
(5 × 1.4) * 0.90 = 6.3 (A further 10% decrease in value)
Rather than writing out the long version, we can simplfify by multiplying 1.4 by 0.9 to get 1.26 .We can also replace 5 with x to get a more general equation.
The answer is 5a pretty sure
Well, i would use the distance formula to find the distance between the two points. Only issue- you do not have the other point, so lets find it!
We have the point 4,6. 4 is the x, and 6 is the y.
Lets start with 4 since the x works with the left and right aspect of the location. It says M has been translated 8 units to the left, meaning we go back 8. So if we are at 4, and we go back (A.K.A. Subtract) 8, we will be at -4.
Now lets move onto the y, which works with the up and down aspect of the location. It says M has been translated 9 unites down, meaning the point will be heading down and getting smaller. So if we are at 6, and we go down (A.K.A. subtract) 9, then we will be at -3.
So now we have the coordinates of point M (4,6) and point M' (-4,-3) so we can now complete the distance formula!
The distance formula helps determine the distance between two points. It looks like this: D = √(x₂-x₁)²+(y₂-y₁)²
Though it does not matter which order you use the coordinates in, i am choosing to use M and then M'.
So, starting with the X, X₂ will be -4 and X₁ will be 4.
Again, starting with the Y, Y₂ will be -3 and Y₁ will be 6.
So, the formula plugged in will look like this: d = √(-4 - 4)² + (-3 - 6)²
Solving it out, we first need to work within the parenthesis. Can you solve it?
Our outcome will be this: -8² + -9². But, since we are squaring (And a negative times a negative equals a positive) you can just write 8² + 9²
8²= 64
9²= 81
64+81 = 145.
So, the distance between point M and point M' would be 145 units
Hope this helps!
If it does not, please let me know so i can try to help!
