The projectile's horizontal and vertical positions at time
are given by


where
. Solve
for the time
it takes for the projectile to reach the ground:

In this time, the projectile will have traveled horizontally a distance of

The projectile's horizontal and vertical velocities are given by


At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about
.
Answer:
none of them
Step-by-step explanation:
Two lines are perpendicular when satisfy the next equation: m1*m2 = -1, where m1 and m2 are the slopes o the lines.
line 1:
y – 1 = (x+2)
y = x + 3
slope of line 1 = 1
line 2:
y + 2 = –3(x – 4)
y + 2 =
-3*x + 12
y = -3*x + 10
slope of line 2 = -3
m1*m2 = 1*(-3
) = -3
They are not perpendicular
line 3:
y − 5 = 3(x + 11)
y − 5 = 3*x + 33
y = 3*x + 38
slope of line 3 = 3
m1*m3 = 1*3 = 3
They are not perpendicular
line 4:
y = -3x –
slope of line 4 = -3
m1*m4 = 1*(-3
) = -3
They are not perpendicular
line 5:
y = x – 2
slope of line 5 = 1
m1*m5 = 1*1 = 1
They are not perpendicular
line 6:
3x + y = 7
y = -3x + 7
slope of line 6 = -3
m1*m6 = 1*(-3
) = -3
They are not perpendicular
Answer: There are 3.36 ounces of ground almonds in 1 cup.
Step-by-step explanation:
Since we have given that
1 pint = 0.42 pounds
As we know that
1 cup = 0.5 pints
1 pound = 16 ounces
So, We need to find the number of ounces.
As 1 pint = 0.42 pounds = 0.42 × 16 = 6.72 ounces
0.5 pints is given by

Hence, there are 3.36 ounces of ground almonds in 1 cup.
Answer:
a
Step-by-step explanation:
9(5x)=45x
9(2)=18
4(8)=32
4(-x)=-4x
45x-4x=41x
32+18=50
41x+50