Answer:
Make it an y=mx+b equation. -3y=-4x+12
Divide everything by -3
Answer is y=4/3x-4
Step-by-step explanation:
This is easy, if adding the first number to the second number you get 70.2 then if you want to find the middle number you will have to subtract 32.34 from 70.2 to get 37.86, now add that and 32.34 to check if it gives you 70.2.... When you add them you indeed get 70.2 so your work is correct meaning your middle number is 37.86
Hope this helped
Answer:
The correct order of the steps is CEABD ⇒ B
Step-by-step explanation:
Let us arrange the figures
To construct a bisector of an angle
First: Draw angle AOB
First step is figure C
Second: Place the pin of the compass on point O and draw an arc intersects the two sides of the angle OA and OB at points D and E
Second step is figure E
Third: Place the compass on point D and draw an arc in the interior of the angle
Third step is figure A
Fourth: without change the open of the compass place its pin on point E and draw an arc which intersects the arc drawn from point D at point C
Fourth step is figure B
Fifth: Draw a line from point A to point C, this line AC is the bisector of angle AOB
Fifth step is figure D
The correct order of the steps is CEABD
And we are given that 
and want to find the value of x. Set f(x) to 16 and we get the equation:
Subtract both sides by 4
Divide both sides by 2
This is the answer. Let me know if you need any clarifications, thanks!
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
