Answer:
The equation of the function: y = mx + b
- m = slope = (y₂ - y₁)/(x₂ - x₁) = [5 - (-3)]/(4 - 0) = (5 + 3)/4 = 8/4 = 2
- b = y-intercept = -3
Therefore, the equation is <u>f(x) = 2x - 3</u>
When x = 0, f(x) = 2(0) - 3 = <u>-3</u>
When x increases by 1, f(x) increases by <u>2</u> (slope = the rate of change)
C- I’m assuming that you meant to say that they have one angle that is equivalent to another
All isosceles triangles have two sides that are of equal length
Answer:
m = -7
Step-by-step explanation:
1) expand: 2/9m-16/9=2/3m+4/3
2) add 16/9 to both sides:
2/9m-16/9+16/9=2/3m+4/3+16/9
3) simplify: 2/9m=28/9+2/3m
4) subtract 2/3 m from both sides:
2/9m-2/3m= 28/9+2/3m-2/3m
5) simplify: -4/9m=28/9
6) m=-7
Answer:
7)141
8)65
Step-by-step explanation:
Area tells us the size of a shape or figure. It tells us the size of squares, rectangles, circles, triangles, other polygons, or any enclosed figure.
In the real world it tells us the size of pieces of paper, computer screens, rooms in houses, baseball fields, towns, cities, countries, and so on. Knowing the area can be very important. Think of getting a new carpet fitted in a room in your home. Knowing the area of the room will help make sure that the carpet you buy is big enough without having too much left over.
Calculating Area
Area is measured in squares (or square units).
How many squares are in this rectangle?
example of rectangle with area of 15 square units
We can count the squares or we can take the length and width and use multiplication. The rectangle above has an area of 15 square units.