S=(lw+lh+wh) solve for w

Answers

Answer 1

Answer: S = lw + lh + wh
S - lh = lw + wh
S - lh = w(l) - w(h)
S - lh = w(l - h)
l - h l - h
S - lh = w
l - h

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Answers

Answer:

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On a coordinate grid, point A is at (−3.0, −5.4) and point B is at (−3.0, 5.4). Point B is a reflection of point A across the ___–axis. Input either a lowercase x or y.

Answers

Given:
Point A (-3.0,-5.4)
Point B (-3.0,5.4)

reflection across y-axis ⇒ (a,b) reflected (-a,b)
reflection across x-axis ⇒ (a,b) reflected (a,-b)
reflection across the origin ⇒ (a,b) reflected (-a,-b)
reflection on y = x ⇒ (a,b) reflected (b,a)

Point B is a reflection of Point A across the x-axis.

Answer:

X- axis

Step-by-step explanation:

If x=at^3 and y=bt^2 then find dy/dx

Answers

dy/dx = (dy/dt) / (dx/dt)

dy/dt = 2bt

dx/dt = 3at^2

therefore dy/dx = 2bt/3at^2
dy/dx = 2b/3at

Mr Castle shares out 54 marbles between Emily and jack the ration 5:1How much marbles does each child get?

Answers

Let's take the number of marbles given to Jack = x
Then, the marbles got by Emily will be 5 times that of Jack i.e. 5x
Then,
5x + 1x = 54
6x = 54
x = $(54)/(6)$

x = 9

So, number of marble Jack got = x = 9
And number of marbles Emily got = 5x = 5 * 9 = 45

$5x+x=54\n 6x=54\n x=9\n 5x=5\cdot9=45\n$

Emily - 45
Jack - 9

Rachna has nickels, dimes, and quarters in her piggy bank. She has $4.65 altogether. She has three more quarters than dimes and twice as many nickels as quarters. How many quarters does Rachna have?

A. 8
B. 11
C. 22
D. 41

Answers

we can translate the given statements into algebraic expressions. In this case,

0.05x + 0.10y + 0.25z = 4.65z = 3 + yx = 2 z
solving these linear equations simultaneously, x = 22y = 8z= 11hence the answer is B. 11

For this case we have the following variables:

x: number of nickels

y: number of dimes

z: number of quarters

We now write the system of equations that models the problem:

$0.05x + 0.1y + 0.25z = 4.65 z = y + 3 x = 2z$

Rewriting the equations as a function of z we have:

$0.05 (2z) + 0.1 (z-3) + 0.25z = 4.65$

From here, we clear the value of z:

$0.1z + 0.1z - 0.3 + 0.25z = 4.65 0.1z + 0.1z + 0.25z = 4.65 + 0.3 0.1z + 0.1z + 0.25z = 4.65 + 0.3 0.45z = 4.95$

$z = (4.95)/(0.45) z = 11$

Answer:

The number of quarters that Rachna has is:

B. 11

Prove that, if: $y=\frac { { x }^( n+1 ) }{ n+1 } +C$

Then:

$\n \n \frac { dy }{ dx } ={ x }^( n )$

By differentiating...

Answers

$y=(x^(n+1))/(n+1)+C\n\ny'=\left((x^(n+1))/(n+1)+C\right)'\ny'=\left((x^(n+1))/(n+1)\right)'+C'\ny'=(1)/(n+1)\cdot (x^(n+1))'+0\ny'=(1)/(n+1)\cdot (n+1)x^n\ny'=x^n$

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Create a system of linear equations that has the coordinates (birth year, birth month) as its only solution. for example, november 2007 coordinates will be (7,11) they must both be diagonal, not horizontal or vertical. A) graph your system and clearly state your two linear equations. B) prove algebrically that your solution is (your birth year, your birth month) by subsituition or elimination. C) verify algebrically that your point (birth year, birth month) is the solution to your system of equations

Please help me with this!!Thank u

What does the y-intercept represent in this situation?

Skateboard Revenue: A skateboard shop sells about 50 skateboards per week for the price advertised. For each $1 decrease in price, about 1 more skateboard per week is sold. The shop's revenue can be modeled by y=(70-x) (50+x). Use vertex form to find how the shop can maximize weekly revenue. [I can get this into vertex form, but I'm not understanding how to read the vertex form of the equation to answer the question]