Answer:
y = -1/2x + 9
Step-by-step explanation:
(0, 9) and (8, 5)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(5 - 9) / (8 - 0)
Simplify the parentheses.
= (-4) / (8)
Simplify the fraction.
-4/8
= -1/2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (8, 5). Plug in the x and y values into the x and y of the standard equation.
5 = -1/2(8) + b
To find b, multiply the slope and the input of x(8)
5 = -4 + b
Now, add 4 to both sides to isolate b.
9 = b
Plug this into your standard equation.
y = -1/2x + 9
This is your equation.
Check this by plugging in the other point you have not checked yet (0, 9).
y = -1/2x + 9
9 = -1/2(0) + 9
9 = 0 + 9
9 = 9
Your equation is correct.
Hope this helps!
21
Plug the number 2 into the equation.
4(2+2)+5
4*4+5
16+5
21
Description about easy geometry is given below
Step-by-step explanation:
1.The basic geometric objects that create shapes like : points, lines, line segments, rays, and planes. A point is represented by a dot and shows a location in space.
2.Geometry is easier and it was easier to study for. Algebra is more focused on equations while the things covered in Geometry really just have to do with finding the length of shapes and the measure of angles.
3.In two dimensions there are 3 geometries:
- Euclidean,
- spherical, and
- hyperbolic.
4.A point in geometry is a location. ... A point is shown by a dot. A line is defined as a line of points that extends infinitely in two directions. It has one dimension, length. Points that are on the same line are called collinear points.
For a function to be odd f(-x)=-f(x).
1) putting x as -x
f(-x)= -x^3+x^2 = -f(x)
Thus, this is an odd function.
2) Following the same procedure,
f(-x)= -x^5+3x^3-2x =-f(x)
Thus, this is an odd function.
3) Again,
f(-x)= -4x-9 = -f(x)
This also is an odd function.
Hope this helps :)
