Answer: k = 12
<u>Step-by-step explanation:</u>
x² + kx + 36 = 0
In order for x to have exactly one solution, it must be a perfect square.
(x + √36)² = 0
(x + 6)² = 0
(x + 6)(x + 6) = 0
x² + 6x + 6x + 36 = 0
x² + 12x + 36 = 0
k = 12
9514 1404 393
Answer:
- one: x+3 = 2x
- none: x+3 = x
- infinite: x+3 = x+3
Step-by-step explanation:
A linear equation with variable terms on opposite sides of the equal sign will have one solution when the coefficients of those variables are different.
x+3 = 2x . . . . has one solution (x=3)
__
There will be no solution if the variable terms on opposite sides of the equal sign have the same coefficient, but the constants are different. Such an equation can be reduced to 0 = 1, which cannot be made true by any value of the variable.
x +3 = x . . . . has no solutions
__
There will be an infinite number of solutions if the left side of the equal sign is the same as the right side. Every value of the variable will satisfy the equation.
x +3 = x +3 . . . . has infinite solutions
Answer and Step-by-step explanation:
The sides we have are 7, 
, and 
.
The square root of 80 is less than 9 but greater than 8 (because 
is 64, 
is 81, and 80 is in between those two values), and the square root of 31 is definitely less than the square root of 80.
So, is the longest side.
1) The square of is: 
2) The sum of the squares of the two shorter sides is:
3) Since the square of the longest side is equal to the sum of the squares of the two shorter sides, by the Pythagorean Theorem, the triangle is a right triangles.
Hope this helps!
Answer:
m=0
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
21 full tables because if you divide the amount of plates you have by the amount of plates needed for each table you’ll get 21.5 but they asked for full tables so that would be 21
