Answer:
.
Step-by-step explanation:
We have been given an equation 
. We are supposed to solve our given equation step by step.
Step 1: Use the distributive property.
Step 2: Combine like terms.
Step 3: Use subtraction property of equality:
Step 4: Use the division property of equality:
Therefore, the solution of our given equation is .
Answer:
(5x - 3y)(25x² +15xy + 9y²)
Step-by-step explanation:
125x³ - 27y³ is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²)
Given
125x³ - 27y³
= (5x)³ - (3y)³
= (5x - 3y)((5x)² + (5x)(3y) + (3y)²)
= (5x - 3y)(25x² + 15xy + 9y²)
Let x represent the length of the side of the pen that is parallel to the barn. Then the area (y) will be
.. y = x(300 -x)/2
This describes a downward opening parabola with zeros at x=0 and x=300. The vertex (maximum) will be found at the value of x that is halfway between those, x = 150.
For that value of x, the pen area is
.. y = 150(300 -150)/2 = 150^2/2 = 11,250 . . . . . square feet.
Answer:
Each associate costs the client $700 per day, so a associates will cost the client 700a dollars per day. Each partner costs the client $1500 per day, so p partners will cost the client 1500p dollars per day. The total amount charged 700a+1500p :$14100:
700a+1500p=14100
700a+1500p=14100
Since there were a total of 11 lawyers assigned to the case (associates and partners), we know a+pa+p must equal 11.11.
a+p=11
a+p=11
\underline{\text{Write System of Equations:}}
Write System of Equations:
700a+1500p=
700a+1500p=14100
14100
a+p=11
11
Answer:
We need a non-included side of one triangle
Step-by-step explanation:
By means of the AAS postulate.
The Angle-Angle-Side postulate (AAS) tells us that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
