Answer:
The perimeter of triangle is 19.8 units
Step-by-step explanation:
we know that
The perimeter of triangle ABC is
the formula to calculate the distance between two points is equal to
step 1
Find the distance AB
we have
substitute in the formula
step 2
Find the distance BC
we have
substitute in the formula
step 3
Find the distance AC
we have
substitute in the formula
step 4
Find the perimeter
substitute the values
The data set has no association.
It’s called an equilateral triangle because all sides are even. A triangle equals 180 degrees. So, 60 degrees x 3 sides = 180 degrees
A parabolic function's key characteristic is either having 2 x-intercepts or 2 y-intercepts. That is the reason why the standard form of parabolic functions are:
(x-h)^2 = +/- 4a(y-k) or (y-k)^2 = +/- 4a(x-h), where
(h,k) is the coordinates of the vertex
4a is the lactus rectum
a is the distance from the focus to the vertex
This is also called vertex form because the vertex (h,k) is grouped according to their variable.
Since we don't know any of those parameters, we'll just have to graph the data points given as shown in the picture. From this data alone, we can see that the parabola has two x-intercepts, x=-4 and x=-2. Since it has 2 roots, the parabola is a quadratic equation. Its equation should be
y = (x+4)(x+2)
Expanding the right side
y = x²+4x+2x+8
y = x²+6x+8
Rearrange the equation such that all x terms are on one side of the equation
x²+6x+___=y-8+___
The blank is designated for the missing terms to complete the square. Through completing the squares method, you can express the left side of the equation into (x-h)² form. This is done by taking the middle term, dividing it by two, and squaring it. So, (6/2)²=9. Therefore, you put 9 to the 2 blanks. The equation is unchanged because you add 9 to both sides of the equation.
The final equation is
x²+6x+9=y-8+9
(x+3)²=y+1
1000 x 1.25 = 1250
1000 x 2 = 2000
2000 - 1250 = 750
2000 divided by 1000 = 2
They should sell the bumper stickers for $2 each.
Hope this helped =)
