Answer:
b = 12
Step-by-step explanation:
Complementary angles add to 90 degrees
a+b = 90
78+b = 90
Subtract 78 from each side
78-78+b = 90-78
b = 12
Anderson could provide 0.5x2 + 4x + 8 = 0 has exactly one real root if the discriminant is 0,
<h3>What is quadratic equation?</h3>
Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. As there is no ax2 term when a = 0, the equation is linear rather than quadratic.
<h3>What is discriminant?</h3>
A polynomial's discriminant is a quantity that depends on the coefficients and enables for some root attributes to be inferred without actually computing them. It is actually a polynomial function of the original polynomial's coefficients.
<h3>According to the given information:</h3>
0.5x^2 + 4x + 8 = 0
The discriminant is computed utilizing:
d = b^2 - 4ac
Thus, we have:
d = 4^2 - 4 * 0.5 * 8
Evaluate
d = 0
The equation has only one real root since the discriminant is 0,
To know more about discriminant visit:
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X=4
Y=-5
i hope that will help
Answer:
$15 827
Step-by-step explanation:
The formula for the amount A of depreciation of an asset by an annual percentage rate is
A = V(1 - r)ⁿ
where
n = number of years
r = annual percentage rate
V = value
Data:
n = 13 yr
r = 9 %
V = $22 400
Calculations:
A = 22 400(1 - 0.09)¹³ =22 400(0.91)¹³ = 22 400 × 0.293 45 = $ 6573
So, the car lost $6573 in value because of depreciation.
Current value = 22 400 - 6573 = $15 827
