Let n = 5.What is the value of the expression 9n2−2−n?

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Answer 1

Answer:

Answer:

9 (5) 2 - 2 - 5 = 83

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How do you solve the equation 2cos^2 - cosx = 0 for all solutions?

Dy/dx=2xy/x²+y² solve

Answers

Answer:

$y=(-1)/(2) \sqrt[]{4x^2+4c_(1)^2} -c_(1)\ or \ (1)/(2) \sqrt[]{4x^2+4c_(1)^2} -c_(1)$

Step-by-step explanation:

As it is first order nonlinear ordinary differential equation

Let y(x) = x v(x)

2xy/(x²+y²)=2v/(v^2+1)

dy=xdv+vdx

dy/dx=d(dv/dx)+v

x(dv/dx)+v=(2v)/(v^2+1)

dv/dx=[(2v)/(v^2+1)-v]/x

$(dv)/(dx)=(-(v^2-1)v)/(x(v^2+1))$

$(v^2+1)/((v^2-1)v)dv=(-1)/(x)dx$

∫ $(v^2+1)/((v^2-1)v)dv$ = ∫ $(-1)/(x)dx$

u=v^2

du=2vdv

Left hand side:

∫ $(v^2+1)/(v(v^2-1))dv$

=∫ $(u+1)/(2u(u-1))du$

= $(1)/(2)$ ∫ $((2)/(u-1) -(1)/(u) )du$

= $ln(u-1)-(ln(u))/(2) +c$

= $ln(v^2-1)-(ln(v^2))/(2)+c$

Right hand side:

$=-ln(x)$

Solve for v:

$v=-\frac{-c_(1)+\sqrt{c_(2)+4x^2 } }{2x} \ or \ \frac{-c_(1)+\sqrt{c_(2)+4x^2 } }{2x}\n$

$y=(-1)/(2) \sqrt[]{4x^2+4c_(1)^2} -c_(1)\ or \ (1)/(2) \sqrt[]{4x^2+4c_(1)^2} -c_(1)$

Determine what information you would need to know in order to use SAS to show that the triangles are congruent

Answers

Answer:

Option D

Step-by-step explanation:

We already have two reasons to support two sides. We have the reflexive property and that the base is divided by a midpoint. So we will need an angle.

Also, AC is the median so it divides into two congruent angles and parts

Option D, because the reflexive property is then included in that part

Ashley Traveled 10 miles north, then 8 miles east, then 9 miles south on her boat

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what’s the rest of the question...?

A scout troop 32 markers along a hiking trail. Each Microway is 9 ounces. On the scale to begin the hike, they put the markers in the backpack. If the empty backpack weighed 3 pounds, how much did the backpack weigh with all the markers in it?

Answers

Answer:

The backpack weighs 21 pounds with all the markers in it.

Step-by-step explanation:

Since they bring 32 markers and each marker is 9 ounces, the weight of all the markers is 288. We know 288 ounces is 18 pounds, so we add 18 to 3. So the backpack weighs 21 pounds with all the markers in it.

What is the difference of rational expressions below 6x/x-3 - 5/x