Answer:
It is one-half the area of a rectangle with sides 4 units × 3 units
Step-by-step explanation:
One side of the triangle is on the line y = 2 between points x=2 and x=6. So, that side has length 6-2 = 4.
The opposite vertex has y-value 5, so is 3 units away from the line y = 2.
The area of the triangle can be considered to have a base of 4 and a height of 3. In the formula ...
A = (1/2)bh
we find the area to be ...
A = (1/2)×(4 units)×(3 units) . . . . triangle area
__
A rectangle's area is the product of its length and width. So, a rectangle that is 4 units by 3 units will have an area of ...
A = (4 units)×(3 units) . . . . rectangle area
Comparing the two area formulas, we see that the triangle area is 1/2 the area of the rectangle with sides 4 units × 3 units.
1. The two equations follow the slope-intercept form which y=mx + b. They have the same y-intercept which is equal to 900.
2. Suppose x= 10
Plan Alpha: y=-7x+900=-7(10)+900=830
Plan Foxtrot: y = -17x+900 = -17(10)+900=730
Between the 2 plans, the lower value is 730. Plan Foxtrot is better for reduction of pollution.
3. The city council should choose Plan Foxtrot because the reduction of pollution is much greater. Their goal would be reached faster if they go with faster reduction of pollution.
Answer:
y = - 
x + 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mc + c ( m is the slope and c the y- intercept )
Here m = - and crosses the y- axis at (0, 10 ) ⇒ c = 10
y = - x + 10 ← equation of line
When you add the decimals it’s the same as regular adding. You line up the decimals and then add all the way across and when you get to the decimal carry it down
Slope intercept form:
Y = mx + b
m = slope, b = y intercept
Given the slope of 4
Y = 4x + b
Plug in the point (3,8)
8 = 4(3) + b
8 = 12 + b, b = -4
Y intercept = -4
Solution: y = 4x - 4
