Value of n is 7
Step-by-step explanation:
-6(2n - 7) + 2(n - 4) = -36
-12n + 42 + 2n - 8 = -36
-10n + 34 = -36
-10n = -70
⇒ n = 7
10x +y = xy +26
There are thee (3) sets of numbers that satisfy this.
.. (x, y) = (3, 2) . . . . the number is 32
.. (x, y) = (5, 6) . . . . the number is 56
.. (x, y) = (9, 8) . . . . the number is 98
If you solve the equation for y, you get
.. y = 10 -16/(x -1)
so x-1 is a 1-digit factor of 16: 2, 4, 8. These give rise to the solutions above.
Answer:
The length of the third side is 23
Step-by-step explanation:
All check
Method solving a quadratic equation by factoring
Method 2 using the quadratic formula
We have radius r= 6 inches and volume V≥ 324 pi inches∧3 we need H=?
We will use next formula to calculate height.
V= B * H = r∧2 pi * H
r∧2 pi * H ≥ 324 pi => 6∧2 pi * H ≥ 324 pi => 36 pi * H ≥ 324 pi
We will divide the both sides of the inequality with pi and get
36 * H ≥ 324 => H ≥ 324/36 => H ≥ 9 inches
Good luck!!!