The result of dividing (x3 + x2 – 22x – 40) by

1 answer:

5 0

Answer:

(x + 2) (x + 4)

Step-by-step explanation:

Before looking at my explanation make sure next time you are going to ask another question write the numbers that include exponents like this: x^2 instead of x2

Factor out x^2:

x + x

Factor out 6x:

Since it is in the bx form we’ll need two numbers be add so it can be equivalent to 6x

Answer: 4 and 2

Factor out 8:

4 x 2

Now start with the 8 and 6x

(? + 4) + (? + 2)

Then finish it off with x

(x + 4) (x + 2)

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When does it reach maximum height?<br><br> H(t)=-16t^2+112t+288

ivolga24 [154]

Answer:

484 feet maximum

Step-by-step explanation:

H(t)=-16t^2+112t+288

The maximum height occurs at the vertex of this graph.

Let us find the vertex.

vertex x-coordinate = -b/2a

x = -b/2a = -(112)/ (2*-16) = 7/2 sec.

H(7/2) = - 16 *(7/2)^2 + 112*(7/2) + 288

H(7/2) = -196 + 392 + 288 = 484 feet ..

5 0

3 years ago

A gun mass of 5 kg fired a bullet of mass 10 g with the velocity of 360 km/h. What

klemol [59]

Answer:

The recoil velocity of the gun is $0.72\,\,\frac{km}{h}$ and is pointing in opposite direction to the velocity of the bullet.

Step-by-step explanation:

Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).

We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg

In mathematical terms, we have:

$5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}$