Answer:
1. 20 min and 15 sec
2. 4 min and 30 sec
3. y=80x-20
4. the second one
Step-by-step explanation:
1. in 2 min you have 25 g
in 15 sec you loose 2.5 g
2. in 4 min you have 5 g
in 30 sec you loose 5 g
3. y=45x-10
y=80x-20
4. it takes 2 min and 15 sec to empty the first one and 3 min to empty the second one.
Answer:
x=5
this is because the axis of symmetry is where the parabola is symmetric, so it would be 5 because that's the x value of the vertex
the largest rectangular area is actually a square.
so the side would be 400/4 = 100 feet
area of a square is S^2
100^2 = 10,000 square feet
55d+10
55/11=5.
10/5=2
5(11)+2
Answer:
We must must transform the standard form equation 3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.
3x+6y=5 (Subtract 3x on both sides.)
6y=−3x+5 (Divide both sides by 6.)
y=−
6
3
x+
6
5
y=−
2
1
x+
6
5
The slope of our first line is equal to −
2
1
. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is −
x
1
.
The negative reciprocal of −
2
1
is equal to 2, therefore 2 is the slope of our line.
Since the equation of line passing through the point (1,3), therefore substitute the given point in the equation y=2x+b:
3=(2×1)+b
3=2+b
b=3−2=1
Substitute this value for b in the equation y=2x+b:
y=2x+1
Hence, the equation of the line is y=2x+1.
Step-by-step explanation:
