Answer:
24 kilometers.
Step-by-step explanation:
The shortest path between two points is a straight segment that connects the two points.
Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.
- The two shorter segments are the two legs, and
- The longer segment that joins the library and the house is the hypotenuse.
The length of the hypotenuse can be found with the Pythagorean Theorem.
.
The length of the round-trip will equal to the sum of the length of the three segments: .
Answer:
1) Both 15.
2) 25 and -25.
Step-by-step explanation:
1) Let the 2 numbers be x and 30 - x.
The product = x(30 - x)
f(x) = x(30 - x)
f(x) = 30x - x^2
Finding the derivative:
f'(x) = 30 - 2x
Finding the maximum:
30 - 2x = 0
x = 15.
This gives a maximum f(x) because f"(x) = -2.
So the numbers are 15 and 30 - 15 = 15.
2). If one number is x the other is y.
x - y = 50
y = x - 50
The product =
x(x - 50)
= x^2 - 50x
Finding the derivative:
2x - 50 = 0 for a minimum value.
2x = 50
x = 25.
So the numbers are 25 and 25-50 = -25.
Answer:
x^2-x-5
Step-by-step explanation:
1. expand the square
(+1)(+1)−3(+2)
2. distribute
(+1)+1(+1)−3(+2)
3. distribute
^2++1(+1)−3(+2)
4. multiply by 1
^2+++1−3(+2)
5. combine like terms
^2+2+1−3(+2)
6. distribute
^2+2+1−3−6
7. subtract the numbers
^2+2−5−3
8. combine like terms
^2−−5
9. gg you are done
^2−−5
Answer:
I hope your question is 4x²+3x+5, then the degree of this polynomial is 2
Answer:
A:(-2,-3)
B:(-4.009,1.018) And (-2,-3)
C:x≈0,1.61878812
Step-by-step explanation:
I found the equations
g(x)=e^x+1
p(x)=5/2x+2
f(x)=-2x-7
plugged it in on a graph found the answer to find g(x) all you need to do is know the parent function y=e^2(exponential) and I found where the lines intersect for part A and B and or p(x)=g(x) I did e^x+1=(5/2)x+2