The dashed triangle is the image of the pre-image solid triangle.
2 answers:
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All the given equations have 2 real solutions except for equation 4 which has only one real root.
<h3>What is a quadratic equation?</h3>A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The given quadratic equation
where, a = 12, b = -9 and c = 4
x =
x =
x = 1.063 or -0.313
Second Equation
where, a = 1, b = 10, c = -2
substitute the values into the equation
x =
x = 0.195 or -10.195
Third Equation
where, a = 5, b = -1, c = - 5
x =
x = 0.905 or -0.55
Fourth Equation
where, a = 1, b = -8, c = 16
x =
x =
x = 4
Learn more about quadratic equations;
Answer:
2236.77 feets
Step-by-step explanation:
From the attached picture, we are to find x, which is the vertical depth of the submarine.
Using trigonometry based on the illustration in the diagram:
Sinθ = opposite / hypotenus
Sinθ = x (depth of submarine) / distance from ship (4000)
Hence,
Sinθ = x / 4000
θ = 34°
Sin34 = x / 4000
0.5591929 * 4000 = x
2236.7716 = x
Hence, depth of submarine = 2236.77 feets
