Answer:
y = 1/2x+4
Step-by-step explanation:
First we find the slope
m = (y2-y1)/(x2-x1)
= (3-6)/(-2-4)
= -3/-6
=1/2
The equation of a line in slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y =1/2x+b
Substitute one of the point into the equation
6 = 1/2(4) +b
6 = 2+b
b=4
y = 1/2x+4
Answer:
-26 + 4/5d
Step-by-step explanation:
-2/5 ( 15 - 2d + 50)
= -2/5 ( 65 - 2d)
= -2/5 * 65 - (-2/5) * 2d
= -26 - (-4/5d)
= -26 + 4/5d
Answer: approximately 49 feets
Step-by-step explanation:
The diagram of the tree is shown in the attached photo. The tree fell with its tip forming an angle of 36 degrees with the ground. It forms a right angle triangle,ABC. Angle C is gotten by subtracting the sum of angle A and angle B from 180(sum of angles in a triangle is 180 degrees).
To determine the height of the tree, we will apply trigonometric ratio
Tan # = opposite/ adjacent
Where # = 36 degrees
Opposite = x feets
Adjacent = 25 feets
Tan 36 = x/25
x = 25tan36
x = 25 × 0.7265
x = 18.1625
Height of the tree from the ground to the point where it broke = x = 18.1625 meters.
The entire height of the tree would be the the length of the fallen side of the tree, y + 18.1625m
To get y, we will use Pythagoras theorem
y^2 = 25^2 + 18.1625^2
y^2 = 625 + 329.88
y^2 = 954.88
y = √954.88 = 30.9 meters
Height of the tree before falling was
18.1625+30.9 = 49.0625
The height of the tree was approximately 49 feets
Answer:
First, I think the right formula is:

A) We first derive the formula given above:

V'(t) represent the drain rate of the tank volume.
B) the units is: gallons/time
C) at V'(10) = 100000/60 = 1666.66 gallons/time.
because the formula V'(t) is constant so it doesn't depend of time.
7/10 you can not simplify tht fraction any more. 7 does not go into
10 evenly.