Answer:
2y-3x+15 = 0
Step-by-step explanation:
let the equation of the perpendicular line: y=mx+c.
Given equation : 2x+3y=12
=> y=-2/3 x+4
so the sope of the equation is m1= -2/3.
as the two lines are mutually perpendicular,
so, m1*m2=-1
=> (-2/3)*m2= -1
=> m2= 3/2
the paerpendicular line : y=(3/2) x+c.
this line pass through (7,3)
so, 3 = (3/2)*7+c
=> c = -15/2
so the perpendicular line y = (3/2)*x -15/2
=> 2y-3x+15 = 0
Replace m with each number in the given set and solve for d(m)
m = 0
d(m) = 7-2(0) = 7-0 = 7
m=1
d(m) =7-2(1) = 7-2 = 5
m = 2
d(m) = 7-2(2) = 7-4 = 3
m=3
d(m) = 7-2(3) = 7-6 = 1
The answers in order from smallest to largest are 1, 3, 5,7
The correct answer would be F.
The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.
<h3>What is speed?</h3>
Speed can be calculated as the ratio of distance traveled to the time taken.
The speed that a tsunami can travel is modeled by the equation
s = 356√d, where s is the speed in kilometers per hour and d is the average depth of the water in kilometers.
S = 356√d
200 = 356√d
√d = 200/356
= 0.5618
d = 0.5618^2
= 0.316 km
d = 0.32 km.
Thus, The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.
Learn more about speed;
brainly.com/question/4723349
Answer:
d=-4
Step-by-step explanation:
20 = –d + 16
Subtract 16 from each side
20-16 = –d + 16-16
4 = -d
Multiply each side by -1
-1 *4 = -1 * -d
-4 =d
Answer:
6
Step-by-step explanation:
There are 6 possible out comes
The coin can be either heads or tails
The marble can be either red yellow or blue
Outcomes
Heads Red Heads yellow Heads Blue
Tails Red Tails yellow Tails Blue
