Answer:
−14x^3+29x^2−27x−18
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer: (-1, 1)
<u>Step-by-step explanation:</u>
Let D represent the fourth vertex with coordinate (x, y)
Since ABCD is a rectangle, then BC || AD and AB || DC
Since BC is parallel to AD, then they have the same slope (m) = -1
Equation of line AD: y - (-2)) = -1(x - 2) ⇒ y + 2 = -x + 2 ⇒ y = -x
Since AB is parallel to DC, then they have the same slope (m) = 1
Equation of line DC: y - 7 = 1(x - 5) ⇒ y - 7 = x - 5 ⇒ y = x + 2
D is where the two lines intersect so the next step is to solve the system of equations: y = -x and y = x + 2
Using substitution method: -x = x + 2 ⇒ -2x = 2 ⇒ x = -1
Now solve for y: y = -x ⇒ y = -(-1) ⇒ y = 1
x = -1 and y = 1
What you do is you use the x and y and turn them into coordinate points and put them on the graph. The points would be…
(-2, 1)
(0,-1)
(2, -3)
I hope this helped!
Answer:
The answer is 10m + 7n - 14
Step-by-step explanation:
Q = 7m + 3n
R = 11 - 2m
S = n + 5
T = -m - 3n + 8
[Q - R] + [S - T] is
[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]
Solve the terms in the bracket first
That's
( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)
( 9m + 3n - 11 ) + ( m + 4n - 3)
<u>Remove the brackets</u>
That's
9m + 3n - 11 + m + 4n - 3
<u>Group like terms</u>
9m + m + 3n + 4n - 11 - 3
The final answer is
<h3>
10m + 7n - 14</h3>
Hope this helps you