Answer:
8.0623
Explanation:
Distance between two points = √
(
−
2 − − 9
)^
2
+
(
−
2 − − 6)^
2
= √
7
^2+
4
^2
=
√
49 + 16
=√
65 = 8.0623
Distance between points (-9, -6) and (-2, -2) is 8.0623
Answer:
D h(x) = f(x)×g(x)
Step-by-step explanation:
h(x) has a wave with 2 changes in direction.
so, this needs to be an expression of the third degree (there must be a term with x³ as the highest power of x).
and that is only possible when multiplying both basic functions. all the other options would keep it at second degree (x²) or render it even to a first degree (linear).
Answer:
a. 
b. x ≠ -5 (Vertical asymptote) and x ≠ 5 (Hole)
Step-by-step explanation:
Factor the numerator (Grouping):
Two numbers that multiply to -30 and add to -7 = -3 and 10
![[2x^2 - 10x] + [3x - 15]](https://tex.z-dn.net/?f=%5B2x%5E2%20-%2010x%5D%20%2B%20%5B3x%20-%2015%5D)
Factor the denominator (Difference of Two Squares):
= 
Factored Expression:
(x - 5) can be factored out of top and bottom as a hole-
Variable Restrictions:
Denominator ≠ 0
Vertical asymptote at x = -5 ⇒ x ≠ -5
Assuming 6.5×10^3 5.5×10^5 1.1×10^3
are in scientific notation.
6500
550000
1100
are the choices without scientific notation.
so by looking at this you can assume (E) is the right answer
(E) <span>The greatest number is 5.5 × 105. It is 5,000 times greater than the smallest number.</span>
Y = 3(3) +15
y = 9 + 15
y= 24
