Answer:
4.6 km
Step-by-step explanation:
-This is a Pythagorean Theorem problem where the distances walked are effectively the base and height of the imaginary right triangle thereof.
#Apply Pythagorean theorem to solve:
Hence, the distance x is 4.6 km
Answer: a^2+b^2=c^2
Step-by-step explanation: (18^2=14^2+c^2)=324=196+c^2
324-196=128 and the square root of 128 is 8 radical 2 or in decimal form 11.31
Answer:
a) 18
b)x^2+10x+18
c)x^2 -6x+2
Step-by-step explanation:
This is a case of plugging in the value into f(x).
a) f(-8)= -8^2 + 6(-8) +2
f(-8)= 64 + (-48) +2
f(-8)=64 + (-46)
f(-8)=18
b) f(x+2)= (x+2)^2+6(x+2)+2
So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.
f(x+2)= x^2+4x+4+6x+12+2
I'll reorder it
f(x+2)= x^2+4x+6x+12+2+4
f(x+2)= x^2+10x+18
c) f(-x)= -x^2+6(-x) +2
f(-x)= x^2 -6x+2
Answer:
-6
Step-by-step explanation:
3n = n² - 54
n² - 3n - 54 = 0
n² - 9n + 6n - 54 = 0
n(n - 9) + 6(n - 9) = 0
(n - 9)(n + 6) = 0
n = 9 , -6
The length/width ratio is 3/1
.
<em>l</em> = 6.6 × 10⁻⁶ m; <em>w</em> = 2.2 × 10⁻⁶ m
<em>l</em>/<em>w</em> = 6.6 × 10⁻⁶ m/2.2 × 10⁻⁶ m = 3/1
