Answer:
I think it is 10
Step-by-step explanation:
Only because I believe n is still unknown and 4 must be multiplied
example
4(10 + n)
40 + 4n
now if P = 10
4(n + p)
4(n + 10)
4n + 40
Answer:
11 units
Step-by-step explanation:
To calculate CD use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = C(- 4, 6) and (x₂, y₂ ) = D(- 4, - 5)
CD = 
= 
=
=
= 11
Answer:
The first option will take a total of 3.2 hours while the second option will take just 3 hours
This shows that the second option is faster
Step-by-step explanation:
Here, we want to compare two hiking options and see the one which is faster.
At any point in time;
Distance = speed * time
In the first option, he could hike at 3 mph for two hours.
Total distance covered would be 3 * 2 = 6 miles
Distance left = 12 miles - 6 miles = 6 miles
Time taken to hike 6 miles at 5 mph will be ; 6/5 = 1.2 hours
Total time for the first type hiking = 1.2 hours + 2 hours = 3.2 hours
For the second option;
Time = distance/speed = 12 miles/4 mph = 3 hours
We can see that the second option is faster
Answer:
The ladder should be 34 feet long.
Step-by-step explanation:
The height of the spotlight above ground = 30 feet
The base of the ladder will be = 16 feet from the base of house
We can easily assume this to be a right triangle with perpendicular as 30 feet and base as 16 feet and we have to find the hypotenuse.
Lets say the length of the ladder or hypotenuse is = x
We will apply Pythagoras theorem here.

=> 
=> 
=> 
So, x = 34
Hence, the ladder should be 34 feet long.
The answer is 7x + 3
First, you have 3x-1 + 2x+1
Combine like terms and the 1’s cancel each other out. You are left with 5x.
Then, you add x+2 + x+1
Combine like terms and you have 2x+3
Add 5x + 2x+3 and you have 7x +3
I’m bad at explaining, so here are the steps.