What is the greatest common factor of 8x and 40?

2 answers:

7 0

ANSWER

The greatest common factor is
$8$

EXPLANATION

We want to find the greatest common factor of
$8x \: and \: 40.$

We use prime factorization to find the greatest common factor of
$8x \: \: and \: \: 40.$

The prime factorization of 8x is,

$8x = {2}^{3} \times x$

The prime factorization of 40 is

$40 = {2}^{3} \times 5$

The greatest common factor of 8x and 40 is

${2}^{3} = 8$

satela [25.4K]2 years ago

3 0

The GCF of 8x and 40 is 8.

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A small rocket is fired from a launchpad 15 m above the ground with an initial velocity left angle 400,450,600 right angle m/s.

vivado [14]

Answer:

v=<400, 450+3t, 600-9.81t> m/s

r=<400t, 450t+3 $t^{2}$ /2, 15+600t-9.81 $t^{2}$ /2> m/s

b) attach file

c) t=122.324s

d) z=18369.9854 m

Step-by-step explanation:

The equation for velocity of each component is v= $v_{0}$ +at, in this case the x-axis component has acceleration 0 $\frac{m}{s^{2} }$ , the y-axis component has acceleration 3 $\frac{m}{s^{2} }$ and the z-axis component has -g $\frac{m}{s^{2} }$ , where g=9.81 $\frac{m}{s^{2} }$ .