The answer is 5x-59
To get this answer you have to follow pemdas and remember you can’t add variables to non variables, so you just expand the equation
As an example
5x + 6 -2x +7
You would get
13-3x
The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
- (dx/dt) = 19 ft/s
- (dy/dt) = -15 ft/s
Therefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
Read more;
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The height has to be 4, 5, or 6, so the width would be 15, 12, and 10 respectively.
4*15=60
5*12=60
6*10=60
These are the only whole numbers between 4 and 6, as whole numbers are non-decimal numbers greater than or equal to 0
10.1 x 8 - 6 = 80.8 - 6 = 74.8
u just had to substitute the variables
Answer:
w = 13
Step-by-step explanation:
Using the method of cross- multiplying
• 
= 
⇒ ad = bc, thus
42(w + 11) = 28(w + 23) ← distribute parenthesis on both sides
42w + 462 = 28w + 644 ( subtract 28w from both sides )
14w + 462 = 644 ( subtract 462 from both sides )
14w = 182 ( divide both sides by 14 )
w = 13
