Hello!
x² - 4x + 6 = 9 <=>
<=> x² - 4x + 6 - 9 = 0 <=>
<=> x² - 4x - 3 = 0 <=>
<=> x = -(-4)±√(-4)²-4×1×(-3)/2×1 <=>
<=> x = 4±√16+12/2 <=>
<=> x = 4±√28/2 <=>
<=> x = 4±2√7/2 =>
=> x = 4+2√7/2 and x = 4-2√7/2 =>
=> x = 2+√7 and x = 2-√7
The equation has two solutions.
Good luck! :)
The answer has to rationally be 14, because it is a longer side than the other which is 7 times the square root of 2 and 7 times square root of 3 and it cannot be 7 because that is less than the results of both the other options that are incorrect. Fourteen is the highest option, and the angle opposite the right angle must be the hypotenuse, which means the longest side of the triangle. Therefore, 14 is the answer.
9514 1404 393
Answer:
15.3 in
Step-by-step explanation:
The lengths are proportional, so you can write ...
model/train = 3 in/(35 ft) = (x in)/(178.5 ft)
Multiplying by 178.5 ft, we get ...
x in = (3 in)(178.5/35) = 15.3 in
The length of the model is 15.3 inches.
Answer:
r = 5sec(θ)
Step-by-step explanation:
The usual conversion is ...
y = r·sin(θ)
x = r·cos(θ)
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The second of these can be used here.
r·cos(θ) -5 = 0
r·cos(θ) = 5
r = 5/cos(θ) = 5sec(θ)
A suitable polar equation is ...
r = 5sec(θ)