In the second equation you are given what Y equals, which is (-5x - 3). You would use this equation and plug it into the y value given in the first equation where it says 2y and solve
That would be
3x - 2(-5x - 3) = -6
3x + 10x + 6 = -6
3x + 10x = -6 - 6
13x = -12
X = -12/13
Then if you want to solve for Y you can use any equation and plug in the x-value found.
I’m going to use equation 2.
Y = -5x - 3
Y = -5(-12/13) - 3
Y = 4.615 - 3
Y = 1.615
(-12/13, 1.615)
Therefore the x-value is -12/13 and the y-value is 1.615.
They both equal y so they both equal each other
Answer:
Since we have BC ║ DE, we know that:
AB/AD = BC/DE
12/(12 + 4) = BC/12
12/16 = BC/12
BC = (12 · 12)/16 = 9 (in)
Applying the pythagorean, we have:
AB² + BC² = AC²
12² + 9² = AC²
225 = AC²
AC = √225 = 15 (in)
Using the information about the parallel lines again, we have:
AC/CE = AB/BD
15/CE = 12/4
CE = (15 · 4)/12 = 5 (in)
So the answer is B
Use U={1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A={2,3,5), B = {5, 7, 8, 9), and C = {1, 4, 10) to find the given set.
Lemur [1.5K]
Answer:
AUB = {2,3,5,7,8,9}
Step-by-step explanation:
union (denoted by ∪) of a collection of sets is the set of all elements in the collection. similar numbers between sets will be written only once. the order of the numbers are ascending.
Hrs worked = 9.25 + 8.75 + 9 + 8.25 + 9 = 44.25 hrs. (44.25 - 40 = 4.25 hrs overtime)
<span>40 hrs * $9.32 = $372.80 (Straight time) </span>
<span>$9.32 * 1.5 = $13.98 (Overtime rate) </span>
<span>4.25 (Overtime hrs.) x $13.98 (Overtime rate) = $59.42 (Overtime pay) </span>
<span>$372.80 + $59.42 = $432.22 (Total gross pay)</span>