Given:
The equation of a line is:

The line is dilated by factor 3.
To find:
The result of dilation.
Solution:
The equation of a line is:

For
,




For
,




Divide both sides by 2.


The given line passes through the two points A(0,5) and B(2,2).
If the line dilated by factor 3 with origin as center of dilation, then

Using this rule, we get


Similarly,


The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:




Multiply both sides by 2.



Therefore, the equation of the line after the dilation is
.
Answer:
y = √-1040/7
Step-by-step explanation:
The equation of a unit circle is expressed as;
x²+y² = 1
Given the coordinate of P = (-33/7, y)
Substitute the coordinate into the give expression and find y;
(-33/7)²+y² = 1
Expand
y² = 1-(-33/7)²
According to difference of two square
y² = (1+(-33/7))1-(-33/7))
y² = (1-33/7)(1+33/7)
y² = -26/7(40/7)
y² = -1040/49
y= √-1040/49
y = √-1040/√49
y = √-1040/7
Hence the value of y is y = √-1040/7
Out of the 3 points, only ABC are collinear. Hence, only ABC can be chosen. The chances of choosing ABC out of ABCD is 1/4. Hence, the probability is 25%.
Answer:
The answer is undefined.
Step-by-step explanation:
The x will never change, no matter what the y is, so the answer will always be undefined.