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Mathematics

1 answer:

STALIN [3.7K]3 years ago

4 0

Answer:

a. this b>9 B. the first one C. the second one

Step-by-step explanation:

D is the first one

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Two sides of a triangle measure 2x – 4 and 7x – 2 units, respectively. Which of these is a possible length for the third side of

lutik1710 [3]

The answer here would be 6x.

8 0

3 years ago

Factor using GCF or monomialpfactoring:<br> w3 + 3w<br> w3(w + 3)<br> W(w2 + 3)<br> 3W(1)

liraira [26]

Answer:

w(w² + 3)

Step-by-step explanation:

Given the expression

w³ + 3w

Since w is common to the terms w³ and 3w, we will factor it out from the expression as shown;

w³ + 3w

w(w²)+ 3(w)

w(w² + 3)

This gives the required expression

7 0

3 years ago

A particle is moving with the given data. Find the position of the particle. a(t) = t2 − 3t + 9, s(0) = 0, s(1) = 20

sertanlavr [38]

Answer:

$s(t) = \frac{t^4}{12}-\frac{3t^3}{6}+\frac{9t^2}{2} +15.91667t$

Step-by-step explanation:

Integrating the expression that describes the acceleration of the particle gives us an expression for its velocity. Integrating the expression for its velocity, gives us the expression for its position:

$a(t) = t^2-3t+9\\\int{a(t)} \, dt=v(t) = \frac{t^3}{3}-\frac{3t^2}{2}+9t +A\\\int{v(t)} \, dt=s(t) = \frac{t^4}{12}-\frac{3t^3}{6}+\frac{9t^2}{2} +At+B$

Use the given values s(0) = 0 and s(s) = 20 to find the constants A and B:

$s(0) =0= 0-0-0 +A*0+B\\B=0\\ s(1) =20= \frac{1^4}{12}-\frac{3*1^3}{6}+\frac{9*1^2}{2} +A*1+0\\ A=15.91667\\\\s(t) = \frac{t^4}{12}-\frac{3t^3}{6}+\frac{9t^2}{2} +15.91667t$