Answer:8.5
Step-by-step explanation:
Pythagorean Theorem
A
a^2 + b^2 = c^2
3^2 + 8^2 = c^2
9 + 64 = c^2
73 = c^2
C= Sqrt (73)
C = 8.5
Constants: -5x
like terms: 7, 1
terms: 1, 7, -5x
coeffcients: 5
Answer: y=6^x-3
It is a exponent form of graph, so first:
y=a^x-b
When b=0, the asymptote is y=0 but as the asymptote given is y=-3, b=-3
Second:
the y value increases 6, when x changes 0 to 1, so a=6
Answer:
(-∞, -4] ∪ [5, ∞)
Step-by-step explanation:
Hi!
Alright, so greater (or less) than or equal to is denoted with a bracket.
If x is less than or equal to -4, then the bracket is on the left side.
(___, -4]
Because x is <em>any</em> number under or equal to -4, x can range from negative infinity. However, we use a parentheses for infinity because infinity can never truly be reached.
So, x -4 = (-∞, -4]
X5
Equal to = bracket
X is any number above 5, so
[5, ∞)
Because we want both of these, we use the union sign (∪)
so,
= (-∞, -4] ∪ [5, ∞)