Answer:
√52 units
Step-by-step explanation:
The segment MN is the hypotenuse of a right triangle that is 6 units wide and 4 units high. The Pythagorean theorem tells you its length is ...
MN = √(6² +4²) = √(36 +16)
MN = √52
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Answer:
x ≈ 13.7
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(58°) = 22/x
x = 22/tan(58°) ≈ 13.747
The value of x is about 13.7 units.
Answer:
see graph
Step-by-step explanation:
g(x) = 3^ x .
h(x) = 2^-x
We want to subtract them
f(x) = 3^x - 2^(-x)
I will rewrite without the negative exponent
f(x) = 3^x - (1/2)^(x)
Lets pick a couple of points
f(0) = 3^0 - (1/2) ^ 0 = 1-1 = 0
As x gets large 3^x gets large and 1/2^x gets close to 0, so it will get large
As x goes to negative infinity, 3^x goes to zero and 1/2^ gets large so we get - infinitity
Answer:
k<±36
Step-by-step explanation:
Δ<0 (no real roots)
b²-4ac<0
k²-4x12x27<0
k²-1296<0
k²<1296
k<±36