Answer:
figure 1 - 10.5 unit^2
figure 2 - 12 unit^2
Step-by-step explanation:
<u>figure 1</u>
1. find the area of the rectangle
<em>3*2 = 6 unit^2</em>
2. find the area of the triangle
<em>(3*3)/2 = 4.5 unit^2</em>
3. add the area of the rectangle and the area of the triangle together. The sum would be the area of the trapezoid.
<em>6 + 4.5 = </em><u><em>10.5 unit^2</em></u>
<u>figure 2</u>
1. find the area of the rectangle
<em>2*4 = 8 unit^2</em>
2. find the area of both triangles
<em>(1*4)/2 = 2 unit^2</em>
3. add the area of the rectangle and the area of both triangles together. The sum would be the area of the trapezoid.
<em>8 + 2 + 2 = </em><u><em>12 unit^2</em></u>
Answer:
y =
x + 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (5, 4) ← 2 points on the line
m =
=
=
, thus
y =
x + c ← is the partial equation of the line
To find c substitute either of the 2 points into the partial equation
Using (5, 4), then
4 =
+ c ⇒ c = 4 -
= 
y =
x +
← equation of line
Answer:
s=100+c
Step-by-step explanation:
if he ears 100 dollars a day plus any commission then you would write it as the equation above
Answer:
Andrew takes for a shower = 720 sec
1 min =60sec
720sec=12min
Andrew takes additional min for breakfast =420 sec
420 sec = 7min
time andrew take for both = 12+7
=19 min
Step-by-step explanation:
The average rate of change has a relationship with slopes. In this way, we can write the slope of a line as follows:

As you can see in the graph, we have a straight line whose slope is negative. This slope as we have said is the Average Rate of Change we need to find. So, to find the slope of this line we must choose two points and compute the following formula:

The two points can be:

So:

Finally, the conclusion is:
<em>The amount of water remaining in the pool is</em><em> decreasing</em><em> at </em><em>a rate of 4 gallons per minute</em>