Answer:
2z + 5
Step-by-step explanation:
you have to combine like terms
subtract 4z - 2z and you get 2z
the number with the variable next to it goes first not the constant
2z + 5
the variable is z and the constant is 5 because it doesn't have variable next to it
hope this makes sense and helps :)
tell me if you have any questions
Answer:
x ≈ 33.1°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = 
= 
, then
x = 
( ) ≈ 33.1° ( to the nearest tenth )
Answer:
60 seconds, 7715 feet
Step-by-step explanation:
Plane A and B start out 615 feet apart, and we find this by subtracting the height of plane A from plane B, getting 5000-4385=615. Now we have to find how many more feet of altitude plane A is gaining per second over plane B.
To find this we subtract 45.25 from 55.5 and get 10.25 feet per second. Now to find out how many seconds until they'll be at the same altitude we simply divide 615 by 10.25, getting 60 seconds.
For the second part, to find the altitude at this point, we simply multiply the altitude gain of one of the planes per second by the time of 60 seconds to get how much altitude they gained over that time, and add it to the starting altitude. Doing this with plane B we get 45.25*60=2715, and we add that to 5000 to get the final answer of 7715.
Answer:
Slope of line is 
Step-by-step explanation:
Given that the company logo has four concentric circles.
To plot the line on the graph take point as ( Diameter, Circumference )
Circumference of a circle is given by C=
Where D is the diameter.
To draw a line, we need at least two-point.
Now,
Take D=1
Circumference of a circle will be C=
Required point is (1,)
Take D=0
Circumference of a circle will be C=
Required point is (0,0)
The slope of line is given by s=
Hence,
s=
s=![\frac{0-[tex]\pi](https://tex.z-dn.net/?f=%5Cfrac%7B0-%5Btex%5D%5Cpi%20)
}{0-1}[/tex]
s=![\frac{[tex]\pi](https://tex.z-dn.net/?f=%5Cfrac%7B%5Btex%5D%5Cpi%20)
}{1}[/tex]
s=
Thus, Slope of line is
