A b + a c - 4 b - 4 c = a ( b + c ) - 4 ( b + c ) =
= (b + c) (a - 4)
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ark worked 5 2/3 + 9 1/3 = 15 hours. 8 3/5 + 9 2/5 = 18 hours + 9 hours.
<span>15 + 18 + 9 = 42 hours worked @ $6.55 per hour </span>
<span>40 hours regular pay and 2 hours overtime. </span>
<span>Over time is 1 1/2 X $6.55 = $9.83 per hour X 2 hours overtime worked = $19.65 in over time . </span>
<span>40 hours @ $6.55 = $262.00 + $19.65 = $281.65.Gross pay </span>
<span>Chris. </span>
<span>5 1/2 + 9 1/2 = 15 hours </span>
<span>8 4/5 + 5 1/5 = 14 hours </span>
<span>14 + 15 = 29 hours worked. @ $9.65 per hour = $279.85 Gross pay </span>
Answer:
it the 3rd one
Step-by-step explanation:
Answer:
(0,5) (1/2, -1) (1, 3)
Step-by-step explanation:
We basically plug in all of these points.
(0,0) --> 0=8(0)-5 <-- This is not true, because 0 ≠ -5
(0,5) --> -5=8(0)-5 <-- This is true, because -5 = -5
(1/2, -1) --> -1=8(1/2)-5 <-- This is true because -1 = -1
(8, -5) --> -5=8(8)-5 <-- This is not true because -5 ≠ 59
(1, 3) --> 3=8(1)-5 <-- This is true because 3 = 3
We are given original equation:
We need to find the enter and radius of a circle using the completing the square method.
The steps are as following :
Step 1 [original equation]: x^2 − 10x + y^2 + 12y = 20 .
Step 2 [group like terms]: (x^2 − 10x) + (y^2 + 12y) = 20
Step 3 [complete the quadratics]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 20 + (25 + 36).
Step 4 [simplify the equation]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 64.
Step 5 [factor each quadratic]: (x − 5)^2 + (y + 6)^2 = 8^2
Step 6 [identify the center and radius]: Center = (5, −6) Radius = 8.
<h3>Step 6 is incorrect.</h3><h3>The center should be (5,-6).</h3><h3> Replace − 5 with + 5 and replace + 6 with − 6.</h3>