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3 years ago

How do u simplify these radicals???

Mathematics

1 answer:

AlladinOne [14]3 years ago

4 0

1. √48 → √16 * √3  =  4√3

3. √12 → √4 * √3 = 2√3

7. √125  → √25 * √5 = 5√5

8. √20  →  √4 *  √5 = 2√5

9.  √18  →  √9 *  √2 = 3√2

10. √32  →  √16 *  √2 = 4√2

11.  √50  →  √25 *  √2 = 5√2

12.  √27  →  √9 * √3 = 3√3

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Hey can someone please help me with just number 13 ?

Fudgin [204]

THE ANSWER IS B! YOUR WELCOME!

7 0

3 years ago

Consider the implicit differential equation <img src="https://tex.z-dn.net/?f=%2849%20y%5E%7B3%7D%20%2B%2045%20xy%29%20dx%20%2B%

BaLLatris [955]

We're looking for an integrating factor $\mu(x,y)=x^py^q$ such that

$\mu\underbrace{(49y^3+45xy)}_M\,\mathrm dx+\mu\underbrace{(98xy^2+50x^2)}_N\,\mathrm dy=0$

is exact, which would require that

$(\mu M)_y=(\mu N)_x$
$(49x^py^{q+3}+45x^{p+1}y^{q+1})_y=(98x^{p+1}y^{q+2}+50x^{p+2}y^q)_x$
$49(q+3)x^py^{q+2}+45(q+1)x^{p+1}y^q=98(p+1)x^py^{q+2}+50(p+2)x^{p+1}y^q$
$\implies\begin{cases}49(q+3)=98(p+1)\\45(q+1)=50(p+2)\end{cases}\implies p=\dfrac52,q=4$

You can verify that $(\mu M)_y=(\mu N)_x$ if you'd like. With the ODE now exact, we have a solution $F(x,y)=C$ such that

$F_x=\mu M$
$F=\displaystyle\int(49y^3+45xy)x^{5/2}y^4\,\mathrm dx$
$F=10x^{9/2}y^5+14x^{7/2}y^7+f(y)$

$F_y=\mu N$
$50x^{9/2}y^4+98x^{7/2}y^6+f'(y)=98x^{7/2}y^2+50x^{9/2}y^4$
$f'(y)=0$
$\implies f(y)=C$

and so the general solution is

$F(x,y)=10x^{9/2}y^5+14x^{7/2}y^7=C$

8 0

3 years ago

Please tell me the number four and five instructions are solve the system of simultaneously equation by using the substitution m

Alex777 [14]

4. 3x+(-x)=4
3x-x=4
2x=4
x=4/2
answers:
x=2
y=-2

5.
y=x-1
4x-y=19
-x+y=-1
4x-y(cross the y’s out they cancel eachother)=19
3x=18
x=6
-6+y=-1
y=-1+6
y=5
answers:
x=6
y=5

4 0

2 years ago

Read 2 more answers

Question # 5 what is the sum?

Blizzard [7]

Answer: C) d+13/d+4

Here’s why:

Step 1: Rewrite the factor
d^2 + 7d +4d +28 / (d+4)^2 + 6 / d+4

Step 2 : factor out d from the expression and factor out 4 from the expression
d × (d+7) + 4(d+7) / (d+4) ^2 + 6 / d+4

Step 3: Factor out d+7 from the expression
(d+7) × (d+4) / (d+4) ^2 + 6 / d+4

Step 4: simply the expression
d+7 / d+4 + 6/ d+4

Step 5: write all numerators above the common denominator
d+7+6 / d+4

Step 6: add the numbers and you get
d+13 / d+4

8 0

3 years ago

Marcel bought a new pair of inline skates. Each

g100num [7]

Answer:

1288.05

Explanation:

41mm=r

2(pi)r=257.61

257.61x5=1288.05

4 0

2 years ago