<h3>
Answer: 300 square feet</h3>
Explanation:
The trapezoid has area of
A = h*(b1+b2)/2
A = 6*(10+18)/2
A = 84
The rectangle is 18 ft by 12 ft, which leads to an area of 18*12 = 216 sq ft.
Adding the two sub-areas gets us: 84+216 = 300
The total area of the house-shaped figure is 300 sq ft.
Answer:
I= 84
Step-by-step explanation:
for
since D is the rectangle such that 0<x<3 , 0<y<3
Using derivatives, it is found that regarding the tangent line to the function, we have that:
- The equation of the line is y = 962x - 5119.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:
f(x) = 5x³ + 2x + 1.
The derivative is given by:
f'(x) = 15x² + 2.
Hence the slope at x = 8 is:
m = f'(8) = 15(8)² + 2 = 962.
The line goes through the point (8,f(8)), hence:
f(8) = 5(8)³ + 2(8) + 1 = 2577.
Hence:
y = 962x + b
2577 = 962(8) + b
b = -5119.
Hence the equation is:
y = 962x - 5119.
More can be learned about tangent lines at brainly.com/question/8174665
#SPJ1
Answer:
$40.50 for the miles and 1.75 x P (passangers)
Step-by-step explanation:
Since $2.25 is the fee for miles, 2.25 x 18 = $40.50
and since it depends on the group, ima say its probably 3, the passenger fee would be $5.25
that would add up to about $45.75
but if there is a different amount of passengers, just multiply it by $1.75 then add it to $40.50!
Answer:
Yes, the same answer is obtained.
Step-by-step explanation:
According to Mr. Carlevato, 
is equal to 
. However, is not equal to according to Mr. Burrows.
Put 
in
![2[2(5)+3]=2(10+3)=2(13)=26](https://tex.z-dn.net/?f=2%5B2%285%29%2B3%5D%3D2%2810%2B3%29%3D2%2813%29%3D26)
Put in
Therefore,
Yes, the same answer is obtained.
