Answer:
2x + 5y + 28 = 0
Step-by-step explanation:
since they are perpendicular,
m1 ×m2 = -1
5/2 × m2 = -1
m2 = -2/5
now,
y -y1 = M (x-x1)
y - (-4) = -2/5 ( x - (-4) )
y +4 = -2/5 ( x + 4 )
5 ( y +4 ) = -2 ( x+4)
5y +20 = -2x - 8
2x + 5y +20 + 8 =0
2x + 5y + 28 = 0
Answer:
24.59 feet
Step-by-step explanation:
Let x represent the distance between Sam and the bird.
We have been given that am the owl is looking down at a 24° angle from the top of a tree that is 10 ft tall, when he spots a bird on the ground. We are asked to find the distance between Sam and the bird.
We can see from our attachment that Sam, the bird and angle of depression forms a right triangle with respect to ground. We can see that side 10 ft is opposite side and and side x is hypotenuse for the 24 degree angle.
Therefore, the bird is approximately 24.59 feet away from Sam.
In this problem, we have been given that there is a baby and the weight of the baby is £10 at birth and it is observed that after four years. That means when time is four years, the weight of the baby, That is observed to be 40 lb. And here, considering the weight of the baby to be increasing linearly with respect to the time. In years, we have to express this weight in terms of. So as we are given that the weight is a linear function of time teeth. So in that case this is the way by which we say that y is a linear function of X. And instead of X, let's put T here. And instead of white, let's put W to indicate that weight is a linear function of time. And as we are given that at birth, that is a physical 20 years. The way it is £10. So we substitute T. S. Zero and ws £10 in this equation. So we're going to get 10 equals zero times A. That's zero plus be solving this, we're gonna get Bs 10 and putting this value of weight as 40 lb and the time has four years as well In the same equation, we're going to get 40 equals four A plus B. And we already have determined B. Let's put that here and solving this, we're going to get the value of a coming out to be seven point fight. And now let's put the values of A. And B back into this equation of W. So we get ws eight times t. That's 7.5 times T Plus B. That's 10. So this is the expression, in fact, we can say this is the linear expression for W with respect to time.
Answer:
A = 2
D = 1
B = 4
C = 3
Step-by-step explanation:
Height of water in bathtub is a function of water in bathtub.
P(t) = w ; t = time ; w = height of water.
A: P (0)=0 ; At time, t = 0 ; height of water = 0, there is no water on bathtub
2: The bathtub starts out with no water.
D: P (20) = 0 ; At time, t = 20 ; w = 0 ;the tub is empty.
1: After 20 minutes, the bathtub is empty.
B:P (4)= 10 `; At t = 4, w = 10 ; height of water in bath tub is 10
4: The height of the water is 10 inches after 4 minutes
C:P (10) = 4 ; At t = 10, w =4, height of water in bathtub = 4 inches
3: After 10 minutes, the height of the water is 4 inches.
.
Answer:
1 hour and 7.5 minutes or 67.5 per day will help him reach his goal of 9 hours per 8 days.
Step-by-step explanation:
9 hours
- 8 days
________
8 hours
1 hour left
1 hour is 60 minutes and 60/8 is 7.5 so each day will have added to it 7.5 minutes wish makes the answer 1 hour and 7.5 minutes or 67.5 minutes.
