Given:
Consider the expression is:
To find:
The value of the given expression by using the math properties.
Solution:
We have,
It can be written as:
[Commutative property of addition]
[Associative property of addition]
Therefore, the value of the given expression is 23.
The length of the dilated segment is D. 4 <span />
Answer:
x = -2 ±sqrt(7)
Step-by-step explanation:
x^2 +4x =3
We will complete the square
Take the coefficient of the x term, divide by 2 and then square it
4, then divide by 2
4/2
Then square it
2^2 =4
Add 4 to each side
x^2 +4x +4 = 3+4
The left side is equal to (x+ the coefficent /2 )^2
(x+2)^2 = 7
Take the square root of each side
sqrt((x+2)^2) = ±sqrt(7)
x+2 = ±sqrt(7)
Subtract 2 from each side
x+2-2 = -2±sqrt(7)
x = -2 ±sqrt(7)
Answer:
Q(-2, -1)
Step-by-step explanation:
P(-2, 5) is 3 units ABOVE the line y = 2. If we reflect this point in the line y = 2, we end up with a point Q(-2, -1), where the '-1' comes from subtracting 3 from 2.