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 )
Here m =
, then
y =
x +c ← is the partial equation
To find c substitute (- 4, - 3) into the partial equation
- 3 = - 3 + c ⇒ c = - 3 + 3 = 0
y =
x ← equation of line
5 is 33 because the question ends up being 14+3+16
Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
(1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:

We can find the base by solving equation (1) for b:

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!
The surface area is
A1=7.5*1.5*2=22.5 ft2 top and bottom view
A2=3*1.5*2=9 ft2 laterals view
A3=(7.5*1.5+2.5*1.5)*2=30 ft2 front and rear view
At=22.5+9+30=61.5 ft2
the answer is 61.5 ft2
Replace x and y with the given values:
2(1/8 + 4) - (3/16*8)
Use distributive property:
1/4 + 8 - (3/16 * 8)
Simplify to get final answer:
8 1/4 - 1 1/2 = 6 3/4