Answer:
If the roots of any equation are equal then it means that their Discriminant = 0
So, b²-4ac = 0
We have given the equation 2x² + kx + 2, where,
a = 2
b = k (we have to find the value)
c = 2
Then, b²-4ac=0
b² - 4(2)(2) = 0
b² - 16 = 0
b² = 16
√16 = 4
Hence the vue of k is 4.
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Step-by-step explanation:
hope it helps you ( ◠‿◠ )
The measurement of angle a plus 120 must equal to 180 ( as angles on a straight line must equal to 180)
So measurement of angle a is 60 degrees
Measurement of angle b plus 60 plus 60 must equal to 180
So measurement of angle b is 60
Answer:
Area of the smaller square is x * x, which is x^2
Area of the larger square is (x + 7)(x + 7), which is x^2 + 14x + 49
The area of the shaded area = Area of the larger square - Area of the smaller square
Area of the shaded region = x^2 + 14x + 49 - x^2
Area of the shaded region is 14x + 49.
10/8 can be simplified to 5/4, which is the same as 1.25 (divide numerator 5 by denominator 4).
So you have x>1.25.
All numbers greater than 1.25 are possible solutions.
Answer:
$<em>150,858.5</em>
Step-by-step explanation:
The formula for calculating compound interest is expressed as;
A = P(1+r/n)^nt
P is the Principal = $124000.00
r is the rate = 12% = 0.12
t is the total time = 2 years
n is the time of compounding = 1/4 = 0.25(quarterly)
Substitute into the formula;
A= 124000(1+0.12/(0.25))^(0.25)(2)
A = 124000(1+0.48)^0.5
A = 124000(1.48)^0.5
A = 124000(1.2166)
A = 150,858.5
<em>The amount after 2 years if compounded quarterly is 150,858.5</em>
