Answer:
x=6
Step-by-step explanation:
81^x = 27 ^(x+2)
81 = 3^4 and 27 =3^3 so replace 81 and 27 in the equation
3^4^x = 3^3^(x+2)
When we have a power to a power we can multiply the exponents
a ^b^c = a^(b*c)
3^(4x) = 3^(3*(x+2))
Since the bases are the same, the exponents have to be the same
a^b = a^c means b=c
4x = 3(x+2)
Now we can solve for x
Distribute
4x = 3x+6
Subtract 3x from each side
4x-3x = 3x-3x+6
x = 6
4.7 because if you plug it in- (2,1) and (6,6) it is 4.7 units
Answer:
They are supplementary
Step-by-step explanation:
Two Angles are Supplementary when they add up to 180 degrees.
What are Integers?
The integers (from the Latin integer, which means with untouched integrity, whole, entire) are the set of numbers consisting of the natural numbers including 0 (0, 1, 2, 3, ...) and their negatives (0, −1, −2, −3, ...). They are numbers that can be written without a fractional or decimal component, and fall within the set {... −2, −1, 0, 1, 2, ...}. For example, 65, 7, and −756 are integers; 1.6 and 1½ are not integers. In other terms, integers are the numbers one can count with items such as apples or fingers, and their negatives, including 0.
Y = -2x - 3
First make a table, then start inserting the x's you choose and figure out the y's.
x y
----------------------
-2 -2(-2) -3
4 - 3
1
-----------------------
-1 -2(-1) - 3
2 - 3
-1
------------------------
0 -2(0) - 3
0 - 3
-3
-------------------------
1 -2(1) - 3
-2 - 3
-5
--------------------------
2 -2(2) - 3
-4 - 3
-7
--------------------------
Now you can plot the points into a graph.
(-2, 1), (-1, -1), (0, -3), (1, -5), (2, -7)