Hash marks are the special marks used to show that segments are congruent.
10, it is because if you round 4, it will be 6 and if you round any number after 5 to the nearest tenth you will get 10
Answer:
56n - 7m
Explanations:
Note that according to the distributive property:
a(b + c) = ab + ac
a(b - c) = ab - ac
Therefore, follow the rule above to rewrite 7(8n - m) using the distributive property.
7(8n - m) = 7(8n) - 7m
7(8n - m) = 56n - 7m
Answer:
Part a) 
Part b) 
Step-by-step explanation:
Part a) Create a linear equation
Let
t ----> the time in minutes
y ---> the temperature in °F
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
In this problem we have
The slope m is equal to
The y-intercept is
substitute
Part b) How many minutes until the water boils at 212° F?
For y=212° F
substitute in the linear equation and solve for t
Answer: the rate at which the distance between the boats is increasing is 68 mph
Step-by-step explanation:
The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.
Let x represent the length the shorter leg(south) of the right angle triangle.
Let y represent the length the longer leg(east) of the right angle triangle.
Let z represent the hypotenuse.
Applying Pythagoras theorem
Hypotenuse² = opposite side² + adjacent side²
Therefore
z² = x² + y²
To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes
2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1
One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that
dx/dt = 32
dy/dt = 60
Distance = speed × time
Since t = 0.5 hour, then
x = 32 × 0.5 = 16 miles
y = 60 × 0.5 = 30 miles
z² = 16² + 30² = 256 + 900
z = √1156
z = 34 miles
Substituting these values into equation 1, it becomes
2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60
68dz/dt = 1024 + 3600
68dz/dt = 4624
dz/dt = 4624/68
dz/dt = 68 mph
