Answer:
9
Step-by-step explanation:
To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. Ax and Ay are the x and y coordinates for the vertex of A. The same applies for the x and y notations of the B and C vertices.
Fill in the numbers for each corresponding letter combination within the formula.
Fill in your formula like this: 0(8-10) + 3(0-0) + 9(0-8).
Subtract the numbers within the parentheses.
0 from 8 = 8, 0 from 0 = 0 and 8 from 10 = 2.
Multiply that result by the number to the left of the parentheses.
0 by 8 = 0, 3 by 0 = 0 and 9 by 2 = 18.
Add the three products together.
0 + 0 + 18 = 18
Divide the sum of the three products by 2.
18 ÷ 2 = 9
Well if the increase is 135% then
actual price=85
135% of actual price=114.75
new price
= actual price + increased price
= 85+114.75
=119.75
Answer: The equation that describes proportional relationship is y = 0.75x
Constant of proportionality is 0.75
Step-by-step explanation:
4y = 3x
Divide both sides by 4 to get the value of y
y = 3x/4
12y = 9x
Divide both sides by 12 to get the value of y
y = 9x/12 divide the numerator and denominator by a common value of 3
y= 3x/4
y = 0.75x
The equation that describes proportional relationship is y = 0.75x, meaning y is inversely proportional to x, as x increases, y also increases.
Constant of proportionality is 0.75
I hope this helps.
The mode is the value that appears more often in a dataset. In your dataset, you have two 6's, two 9's and two 14's.
So, there is no value that is repeated more than any other.
In those cases, some say that your dataset has no mode. Others say that your dataset has three modes: 6, 9 and 14.
It's really all about definition, so it depends on which convention your book/course/professor sticks to.
