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
Answer:
b
Step-by-step explanation:
The multiples of 8 are: 0, 8, 16, 24, 32, 40, 48, ...
The multiples of 10 are: 0, 10, 20, 30, 40, 50, ...
LCM(8, 10) = 40
LCM(x²y², x²y³) = x²y³
Therefore
<h3>LCM(8x²y², 10x²y³) = 40x²y³</h3>
Answer:
simplifies to
Step-by-step explanation:
Given expression
We have to simplify the above expression,
Consider the given expression
Multiply each term in brackets by , we get,
Solving further, using we get,
Thus, simplifies to
Answer:
The product of 3 and x
Step-by-step explanation:
the answer of a multiplication problem is called the product so if you multiply 3 and x the answer would b the product