Answer:
slope is 2
y-intercept is 3
equation y=2x+3
Step-by-step explanation:
From the given equation above, F = ma, acceleration may be calculated by slightly modifying the equation into a = F / m. Substituting the known values for force and mass,
a = 2,050,000 N / 40,000 kg = 51.25 m/s²
Thus, the acceleration achieved is 51.25 m/s².
Answer:
x = 18.5
Step-by-step explanation:
tangent is opposite over adjacent
tan 51 = x/15
solve for x
be sure your calculator is in Degree mode.
x = tan 51 * 15
Answer:
8y^2(y + 2)
Step-by-step explanation:
The given expression is 8y^3 + 16y^2
Let's find the greatest common factor of 8y^3 and 16y^2
The GCF is 8y^2. Let's take out the GCF outside and write the remaining terms as follows
8y^2 (y + 2)
Therefore, the factors are 8y^2 and (y + 2)
That is 8y^3 + 16y^2 = 8y^2(y + 2)
Thank you.
Answer:
0.25feet
Step-by-step explanation:
The equation is not well written. Let the equation of the height be modelled as;
h = -16d²+8d+4
The velocity of the ball is zero at its maximum height.
Velocity = change in displacement/time
v = dh/dd
Differentiate
v = -32d+8
Since dh/dd = v = 0
0 = -32d+8
Add 32d to both sides
0+32d = 8
32d = 8
Divide both sides by 32
32d/32 = 8/32
d = 1/4
d = 0.25feet
Hence the maximum height of the tennis ball is 0.25feet
Note that the modeled equation was assumed. You can apply the same calculation to any equation given
