The new coordinate will be T'(3.2 , -1.6) .
<h3>What is the meaning of Dilation ?</h3>
Dilation is the transformation that changes the size of the object without changing its shape .
If a coordinate point is (x,y) and a dilation of scale factor f is applied then the new coordinates will be (fx ,fy)
The coordinate given in the question is T(8, -4)
The scale factor is 0.4
The new coordinate is
T'( 0.4 * 8 , 0.4 * (-4))
T'(3.2 , -1.6)
Therefore the new coordinate will be T'(3.2 , -1.6)
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Answer:
x = ±1/2
Step-by-step explanation:
x^2-1/4=0
Add 1/4 to each side
x^2 -1/4+1/4 = 0+1/4
x^2 = 1/4
Take the square root of each side
sqrt(x^2) = sqrt(1/4)
x = ±1/2
Answer:
y=4x+19
Step-by-step explanation:
y-y1=m(x-x1)
y-(-1)=4(x-(-5))
y+1=4(x+5)
y=4x+20-1
y=4x+19
Answer:
Option D.
Jenn's answer is not correct. She got it substituting into the equation and solving for "x".
Step-by-step explanation:
Given the following equation:
Since you need that , you hace to substitute that value into the equation:
Now you need to solve for "c":
Therefore for a a value of , you get
Then, the you can identify that the correct answer is the one given in the Option D.
Jenn made a mistake, because she substituted into the equation and then solve for "x":
Answer:
if n,6,m are in geometric sequence
=> 6/n = m/6
⇔ mn = 36 (1)
if n,7.5, m are in arithmetic sequence
=> 7.5 - n = m - 7.5
<=> m + n = 15 (2)
from (1)(2), we have the equations:
with n = 12 => m = 3
n = 3 => m = 12
=> (m;n) = {(3;12),(12;3)}
Step-by-step explanation: