Answer:

Step-by-step explanation:

Combine like terms

Distribute the 7

Subtract 3m from each side

Add 7 to each side

Divide by 4

Answer:
21, 22, 23
Step-by-step explanation:
Construct equations representing each piece of information.
Three consecutive integers are three numbers in a row, for example, 1, 2 and 3.
Let's let
Integer 1 = X
Integer 2 = Y
Integer 3 = Z
X = (Y + Z) - 24
We also know that
Y = X + 1
and Z = X + 2
We can now sub this information into the first equation. We do this so that we can have only one variable in the equation.
X = (X+1) + (X+2) - 24
now solve for x,
X = 2X + 3 - 24
X = 2X - 21
-X = - 21
X = 21
So, the integers are 21, 22, 23
Answer:
Slope is Zero 0
Step-by-step explanation:
this is because the line is horizontal and therefore has no slope
Answer:
The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.
Step-by-step explanation:
Given information:
A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.


We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

According to Pythagoras


.... (1)
Put z=1 and y=2, to find the value of x.




Taking square root both sides.

Differentiate equation (1) with respect to t.

Divide both sides by 2.

Put
, y=2,
in the above equation.

Divide both sides by 2.



Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.
Answer: the "m" value (if using y=mx+b) will have" x" as an exponent