Answer:
6
Step-by-step explanation:
5y + 2 +2y + 3 = 12 - 15
7y + 5 = 12y - 15
7y + 20 = 12y
20 = 5
6
Answer:
yes, this is a triangle. It is a right triangle
Step-by-step explanation:
The three angles of a triangle add to 180 degrees
27+90+63 = 180
180=180
This is true so it is a triangle.
Because one of the angles is 90 degrees, it is a special type of triangle called a right triangle.
Answer:
x = sqrt(29)/2 - 3/2 or x = -3/2 - sqrt(29)/2
Step-by-step explanation by completing the square:
Solve for x over the real numbers:
x^2 + 3 x - 5 = 0
Add 5 to both sides:
x^2 + 3 x = 5
Add 9/4 to both sides:
x^2 + 3 x + 9/4 = 29/4
Write the left hand side as a square:
(x + 3/2)^2 = 29/4
Take the square root of both sides:
x + 3/2 = sqrt(29)/2 or x + 3/2 = -sqrt(29)/2
Subtract 3/2 from both sides:
x = sqrt(29)/2 - 3/2 or x + 3/2 = -sqrt(29)/2
Subtract 3/2 from both sides:
Answer: x = sqrt(29)/2 - 3/2 or x = -3/2 - sqrt(29)/2
