Answer:
Step-by-step explanation:
Consider an equation: 
Here, m is the slope of the line and c is the y-intercept.
Given equation is 
Here, slope is 
As product of slopes of two perpendicular lines is equal to 
, slope of the required line is 
.
Let 
Equation of the required line is 
Answer:
The Bill of Rights was added to the Constitution in the form of amendments. The chief purpose of the amendments was to protect the rights of individuals from the government's interference. They guarantee rights such as religious freedom, freedom of the press, and trial by jury to all American citizens.
Step-by-step explanation:
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
He is correct and incorrect. 2 and 4 can create factors but they can also be factors of other numbers. So 8 can be a factor of bigger whole numbers and can also have it own smaller factors.
Answer:
-740
Step-by-step explanation:
18-72 equals -74
now -74 *10 equals-740
