Answer:
6 units
Step-by-step explanation:
I will just assume that you made a typo when typing the question when saying AB is 6√3. Here is the solution if AB = 6√2.
Since it is given that ABC is a right triangle and x labels each of the legs, the triangle is a right isoceles triangle.
Now we can use the right isoceles triangle theorem to solve the problem. This theorem states that if a leg is "x" in a right isoceles triangle, then the hypotenuse is equal to x√2.
Here, the hypotenuse is equal to 6√2. To figure out the legs, you need to solve the equation 6√2 = x√2. It is solved here:
6√2 = x√2 (Divide by √2)
x = 6
The length of the legs are 6 units.
Answer:
(x + 2) (x + 3) = x² + 3x + 2x + 6 = 12 (multiply the binomials)
(x + 2) (x + 3) = x² + 5x + 6 = 12
(x + 2) (x + 3) = x² + 5x + 6-12 = 0 (add the like term and bring the positive 12 to the other side which makes it negative)
x² + 5x + 6 = 0
Using the snowflake method - (finding the factors of 6 that adds/subtracts to give you 5).
This method will give you the factors (x + 6)(x - 1)
ZERO PROPERTY RULE:
(x + 6) = 0
x = -6
(x - 1) = 0
x = 1
The two solutions to the equation are -6 and 1.
Answer:
x = 5, y = 2
Step-by-step explanation:
First, isolate y in the top equation.

Next, substitute y in the bottom equation.


Simplify.

Combine like terms.

Isolate x on one side.

Isolate x.

Substitute x into 

Simplify.

Isolate y.


Answer:
The answer is 7 2/3 cans for the next 6 days.
Step-by-step explanation:
Given: The dog ate 50 cans in 30 days.
To get how many cans per day, divide:
50/30 = 1 2/3 cans per day.
To get how many cans for 6 days, multiply:
6 * 1 2/3 = 18/3 + 5/3 = 23/3 = 7 2/3 cans or 7.667 in decimal form.
Hope this helps!! Have an Awesome day!!! :-)
Well the LCM (lowest common multiples) for 8 and 32 would be 4. So plug 4 into "b" -8×4-32. -8×4=32. -32-32. Since you can't subtract 32 and 32 you add! Which gives you -64.
Hope this helps (: