Answer:
$16
Step-by-step explanation:
Let $x be the amount of money Daniel spent.
Tracy spent $38 less than 3 times what Daniel spent.
Daniel spent = $x
3 times what Daniel spent = $3x
$38 less than 3 times what Daniel spent = $(3x-38)
So,
Tracy spent = $(3x-38)
If Tracy spent $10, then
![3x-38=10\\ \\3x-38+38=10+38\ [\text{Add 38}]\\ \\3x=48\\ \\x=16\ [\text{Divide by 3}]](https://tex.z-dn.net/?f=3x-38%3D10%5C%5C%20%5C%5C3x-38%2B38%3D10%2B38%5C%20%5B%5Ctext%7BAdd%2038%7D%5D%5C%5C%20%5C%5C3x%3D48%5C%5C%20%5C%5Cx%3D16%5C%20%5B%5Ctext%7BDivide%20by%203%7D%5D)
Hence, Daniel spent $16
Answer:
The length of the diagonal of the rectangle is of
units.
Step-by-step explanation:
Pythagorean theorem:
The square of the hypothenuse h is equal to the sum of the squares of sides a and b, that is:

Diagonal of a rectangle:
The diagonal is the hypothenuse, while the sides are a and b.
In this question:
The height has coordinates are y = 9 and y = 12, so the height is 
The length has coordinates at
, so the length is 
Diagonal:





The length of the diagonal of the rectangle is of
units.
X^2+x-20
x^2+5x-4x-20
x(x+5)-4(x+5)
(x-4)(x+5)