Answer:
a true
b false
c. false
d. true
e. false
f. true
Step-by-step explanation:
The function is y =35+8x where x is the number of items sold and y is the earnings
To determine if the point is on the graph substitute the point in and see if it is true
a (7,91)
91 = 35+ 8(7)
91 = 35+ 56
91 = 91 true
b(11, 121)
121 = 35+ 8(11)
121 = 35+ 88
121 = 123 false
c. (9, 110)
110 = 35+ 8(9)
110 = 35+ 72
110 = 107 false
d. (4,67)
67 = 35+ 8(4)
67 = 35+ 32
67 = 67 true
e. (5,72)
72 = 35+ 8(5)
72 = 35+ 40
72 = 75 false
f. (3, 59)
59 = 35+ 8(3)
59 = 35+ 24
59 = 59 true
Answer:
4.6 km
Step-by-step explanation:
-This is a Pythagorean Theorem problem where the distances walked are effectively the base and height of the imaginary right triangle thereof.
#Apply Pythagorean theorem to solve:
Hence, the distance x is 4.6 km
I don’t know the rest, but I think the 1st and 3rd ones are true! I hope this helps some, I’m sorry if it’s incorrect!
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
Answer:
your answer is gonna be "A" if you want to type 1/14 into the calculator.
