Answer:
Step-by-step explanation:
y ∝ x^2
Introducing the proportionality constant, we have
y = kx^2
Given : y= 18 when x = 3
substitute the given values in order to get the constant
i.e 18 = k x 3^2
18 = 9k
k = 2
therefore the formula connecting x and y
⇒ y = 2x^2
To find y if x is 4, just substitute x = 4 into the formula connecting x and y
i.e y = 2 x 4^2
= 2 x 16
= 32
For more help, Take a look at this chart.
Answer:
The dilation is twice the original form
Step-by-step explanation:
Given
Original Triangle = ABC
Dilated Image = A'B'C'
Required
Relationship between both
From the attached diagram;
This implies that
The relationship between a dilated image and its original form is;
Using AC and A'C';
Such that A'C" is the Dilation image of AC
Replace AC an A'C' with their lengths
Divide both sides by 5
Hence, the dilation is twice the original form
The point P(–4, 4) that is of the way from A to B on the directed line segment AB.
Solution:
The points of the line segment are A(–8, –2) and B(6, 19).
P is the point that bisect the line segment in .
So, m = 2 and n = 5.
By section formula:
P(x, y) = (–4, 4)
Hence the point P(–4, 4) that is of the way from A to B on the directed line segment AB.
Answer:
40%
Step-by-step explanation:
using our lovely knowledge of percents (or per 100s) we can see that 100-60 is 40, which means only 40% of the votes go to the losing candidate