Answer:
12
Step-by-step explanation:
We know that AD=BC and that AB=CD. We also know the perimeter of the rectangle ABCD to be 54 units.
From this, we can add up the sides which will be equal to 54 units.
AD+BC+AB+CD=54
2x+2x+3x-3+3x-3=54
10x=60
x=6
Since we are trying to find the length of side BC we substitute this value back into 2x.
BC=2x =2*6=12
Therefore, the length of BC is 12 units.
Answer:
y=-3x+4
Step-by-step explanation:
The question is asking for the equation in slope-intercept form. This is y=mx+b where m is the slope and b is the y-intercept.
The slope can be found by counting the units in between two points on the graph. Remember that slope is rise over run or y/x. Two points on the graph are (2,-2) and (1,1). The y is increasing by 3 while x is decreasing by 1. This means the slope is -3.
The y-intercept is where the line intersects with the y-axis. In this case, that point is (0,4). Therefore, b=4.
The final answer is y=-3x+4.
Answer:
2.4 hours or 2 hours and 24 minutes
Step-by-step explanation:
Jack mows 1/6 of the lawn per hour while Marilyn mows 1/4 of the lawn together. Adding up those rates yields in their combined mowing rate:
The time required for them to mow the entire lawn is:
It would take them both 2.4 hours to mow the lawn together.
Answer:
(A) - (5)
(B) - (4)
(C) - (1)
(D) - (2)
Step-by-step explanation:
(A) We are given the polynomial (x+4)(x−4)[x−(2−i)][x−(2+i)]
(5) The related polynomial equation has a total of four roots; two roots are complex and two roots are real.
(B) We are given the polynomial (x+i)(x−i)(x−2)³(x−4).
(4) The related polynomial equation has a total of six roots; two roots are complex and one of the remaining real roots has a multiplicity of 3.
(C) We are given the polynomial (x+3)(x−5)(x+2)²
(1) The related polynomial equation has a total of four roots; all four roots are real and one root has a multiplicity of 2.
(D) We are given the polynomial (x+2)²(x+1)²
(2) The related polynomial equation has a total four roots; all four roots are real and two roots have a multiplicity of 2. (Answer)
It’s =X+ and that’s ru answering
