P is the point (2,k)
PA = PB
PA = √(49 + (2-k)²) and PB = √(1 + (6 - k)²)
√(49 + (2-k)²) = √(1 + (6 - k)²) => (49 + (2-k)² = (1 + (6 - k)²
=> 49 + 4 - 4k + k² = 1 + 36 - 12k + k² => 8k = 37 - 53 = -16 => k = -2
8z-8=6z+8
8x-6z=8+8
2z=16
Z=8
Area of part 1:A1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2Area of part 2:A2=length*width=(8+2)*1=10 ft2Area of part 3:A3=length*width=8*2=16 ft2
Total shaded area : A1+A2+A3=41 ft2Total area of the reactangle : A=16*8=128 ft2Total area of the nonshaded region : 128-41=87 ft2
Step-by-step explanation:
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The inequality is:
x + $488.04 ≥ $500
And the solution is
x ≥ $11.96
<h3>How to write and solve the inequality?</h3>
First, let's define x as the amount that she needs to deposit.
Now, we know that at the moment Evely has $638.54 in her bank account. Then she pays for $638.54, then she writes a check for $159.50, then we need to subtract that:
$638.54 - $159.50 = $488.04
Now she needs to deposit an amount x, such that her balance is at least $500, then we can write the inequality:
x + $488.04 ≥ $500
Solving that for x, we get:
x ≥ $500 - $488.04 = $11.96
She needs to deposit at least $11.96.
If you want to learn more about inequalities:
brainly.com/question/24372553
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