Answer:
E = 50
D = 150
Step-by-step explanation:
We know that the exterior angle is equal to the sum of the opposite interior angles
D + E = 200
D = 3E
Substituting that into the equation
3E + E = 200
Combing terms
4E = 200
Divide by 4
4E /4 = 200/4
E = 50
D = 3E
D = 3*50 = 150
Answer:
Step-by-step explanation:
y = a|x-h| + k
(h,k) is the vertex
There's no standard formula for absolute values. I just made it up as an example, pretty much.
Since a is negative, the function opens downward.
h = -2, k = 0, so the vertex is at (-2,0)
Answer:
all numbers
Step-by-step explanation:
3x - 5(x + 6) = -2x -2(5 + 10)
Distribute on both sides.
3x - 5x - 30 = -2x - 10 - 20
Add 2x to both sides.
-2x - 30 = -2x - 30
-30 = -30
Since we get a true statement after only doing legal steps to solve the equation, the equation has an infinite number of solutions.
Answer: all numbers
2(x)^2 - 2(x) - 12 = ?
2(x)^2 - 2(x) - 12
(x)^2 - 6 - x
Multiply ↪1 (-6) = -6
1 + -6 = -5 , right?
-3 + 2 = -1, right?
After we have pulled out the like terms we have to add/subtract! x(x) - 3
Search for the common denominator
2(x) - 3
You can add up 4 for your terms
x + 2 (x - 3)
Make sure you solve this↪ 2 = 0
x + 2 = ?
x + 2 = 0
We have found the first; x = -2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Since, this one has a single variable, I'll make the step easier and quicker
Solve this part ↪ x-3 = 0
If we had the number 3 to your sides we would have found the outcome of the next x
So, the second x is 3
So, therefore your answer would have to be x =-2 ; x = 3 (most likely option C.)