Answer:
see explanation
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, hence
AE = EC, that is
x² - 6 = 5x ( subtract 5x from both sides )
x² - 5x - 6 = 0 ← in standard form
(x - 6)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 1 = 0 ⇒ x = - 5
However x > 0 ⇒ x = 6
AC = x² - 6 + 5x = 6² - 6 + 5(6) = 36 - 6 + 30 = 60
Answer:
The answer to your question is below
Step-by-step explanation:
- The Standard form of the equation is
(x - h)² + (y - k)² = r²
4.
Center (8, -4) r = 
-Substitution
(x - 8)² + (y + 4)² =²
-Result
(x - 8)² + (y + 4)² = 118
5.
Center (-10, 9) r = 
-Substitution
(x + 10)² + (y - 9)² = ²
-Result
(x + 10)² + (y - 9)² = 37
6.-
Center (-8, 0) r = 6
-Substitution
(x + 8)² + (y - 0)² = (6)²
-Result
(x + 8)² + (y - 0)² = 36
<h3>
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>
➷ y = mx + c
Substitute in values using a point on the given line
7 = m(4) + 6
-6 from both sides
1 = m4
Divide both sides by 4:
m = 1/4
The slope is 1/4
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<h3>
Answer: 800</h3>
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Work Shown:
(160 with blue eyes)/(500 total) = (x with blue eyes)/(2500 total)
160/500 = x/2500
x = 2500*(160/500)
x = 800
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Another approach:
160/500 = 0.32 = 32% of the first group has blue eyes
Assuming this percentage is the same for any group, then,
32% of 2500 = 0.32*2500 = 800 people of the second group are estimated to have blue eyes, of the 2500 total.
