Answer:
196
Step-by-step explanation:
The discriminant (Δ) is given by:

Where the polynomial is in the form:

In this problem, a = 1, b = 0, and c = -49. Thus, plugging it into the formula:

Thus, the discriminant of x² – 49 = 0 is 196.
Answer:
5
Step-by-step explanation:
We know that 13 is the hypotenuse. With this we can use the Pythagorean Theorem to solve this problem.
Let the third side be x.
13^2=12^2+x^2
169=144+x^2
169-144=x^2
25=x^2
x=5
Solved.
Answer:
B
Step-by-step explanation:
Use the formula for radius and circle circumference.

Since we know the diameter, if we divide that by 2, we can get the radius.

Now we can plug that value into the circumference formula to get the circumference.

*Since we're rounding to the nearest inch.
Answer:
True: 5, 15, and 10
Step-by-step explanation:
6*5=30 Correct, 30 is less than 100
6*15=90 Correct, 90 is less than 100
6*10=60 Correct, 60 is less than 100
6*20=120 Wrong, 120 is greater than 100
Answer:
y = 4x - 1
Step-by-step explanation:
Equation y = 4x - 1 matches the function described in the table.