part a
$800+8x=y
800 is the money the store manager makes a week
8 is how much money the manager makes per every hour that is worked extra
x is the amount of extra hours the manager works
y is the amount of money he makes all together
Because the triangle is a right angle, the hypotenuse is the square root of the sum of the legs squared or the square root of (20 ^2 + 15^2) or 25. The distance wayne computed was the distance from Ferris to Dunlap or 15 plus the distance from Dunlap to Butte or 20 or 35 miles all together. The difference of 35 and 25 is 10
Answer: -7/-3.
Step-by-step explanation: In this problem we're asked to find the slope of the line that passes through the points (4,3) and (1,-4).
Using our slope formula, we take the second y minus the first y which in this case is -4 - 3 over our second x minus our first x which in this case is 1 - 4.
-4 - 3 is -7 and 1 - 4 is -3.
So the slope of this line is -7/-3.
Answer:
x = 9 or x = 0
Step-by-step explanation:
Solve for x over the real numbers:
x^2 - 4 x - 5 x = 0
x^2 - 4 x - 5 x = x^2 - 9 x:
x^2 - 9 x = 0
Factor x from the left hand side:
x (x - 9) = 0
Split into two equations:
x - 9 = 0 or x = 0
Add 9 to both sides:
Answer: x = 9 or x = 0
In mathematics, a radical expression is defined as any expression containing a radical (√) symbol - includes square roots, cube roots and so forth. Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find.
So √12 is in radical form. I think what you are asking for is to reduce the expression to its simplest radical form.
So 12 = 4*3, √12 = √4 * √3.
We can ‘reduce’ this by noting that √4 =2, so the expression becomes 2√3.
This cannot be further reduced because 3 isn’t a square or divisible by a square, so 2√3 is the simplest radical form.
