GCF(3, 24, 27) = 3
Steps:
Prime factorization of the numbers:
3 = 3
24 = 2 × 2 × 2 × 3
27 = 3 × 3 × 3
GCF(3, 24, 27)
= 3
Answer:
Step-by-step explanation:
Use Pythagoras’ theorem
square of hypotenuse = sum of squares of two other sides
let the missing side be d
30^2 = 20^2 + d^2
600 = 400 + d^2
d^2 = 200
d = square root of 200
d = 14.142 cm
Use the percent proportion
21 x
—— = ——
100 300
to solve :
21 x 300 = 6300
6300 ÷ 100 = 63
Answer = 63 of Elmer’s shells are fossilized snail shells :)
Answer:
200,000
Step-by-step explanation:
Answer:

Step-by-step explanation:
The equation
represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.
For any quadratic:
- If the discriminant is positive, or greater than 0, the quadratic has two solutions
- If the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).
- If the discriminant is negative, or less than 0, the quadratic has zero solutions
In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have
.