Given:
The coordinates of point A are (7,4).
It is dilated from the origin by a scale factor r = 3.
To find:
The coordinates of A'.
Solution:
If a figure is dilated from the origin by a scale factor k, then

Here, the figure is dilated from the origin by a scale factor 3, so the rule of dilation is given by:

Using this rule, we get


Therefore, the coordinates of point A' are (21,12).
answer: 11
explanation: just plug in -2 for x. the new problem becomes 5(-2)^2 - 9. Negative two squared is 4. 5 times 4 is 20. 20 minus 9 is 11.
Answer:
gradient = 
Step-by-step explanation:
calculate the gradient m using the gradient formula
m = 
with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m =
=
=
= 
Answer:
x=-30
Step-by-step explanation:
We need to get rid of all the denominators in this equation.
This can be achieved by multiplying both the left and the right side by the Least Common Denominator.
In our example, the LCD is equal to .We need to get rid of all the denominators in this equation.
This can be achieved by multiplying both the left and the right side by the Least Common Denominator.
In our example, the LCD is equal to 3 .
Answer:
it is 2 1/2
Step-by-step explanation:
I hope this helps