Answer:4,200
Step-by-step explanation:
Answer:
Fifteen is a factor of the number because both 3 and 5 are prime factors.
Step-by-step explanation:
2^3 * 3^2 * 5
= 2 * 2 * 2 * 3 * 3 * 5
As you can see from, the prime factors are 2, 3, and 5.
3 × 5 = 15, option A is correct.
Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
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Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
Answer:
3:4
Step-by-step explanation:
(1/7)/(4/21) = (1/7)×(21/4) = 3/4 = 3:4
