Answer:
The answer is
One: 28, 29, 30
Two: 75,77
Step-by-step explanation:
One
Let the three numbers be (x - 1) , x , and x + 1
(x - 1) + x + (x +1 ) - 12 = 75 Remove the brackets
x - 1 + x + x + 1 - 12 = 75 Combine the like terms on the left
3x - 12 = 75 Add 12 to both sides
3x = 75 + 12
3x = 87 Divide by 3
x = 87/3
x = 29
Two
Let the first odd number = 2x -1
Let the second odd number = 2x + 1
2x - 1 + 2x + 1 + 18 = 170 Combine like terms on the left.
4x + 18 = 170 Subtract 18 from both sides.
4x = 170 - 18 Combine like terms on the right
4x = 152 Divide by 4
4x/4 = 152/4
x = 38
2 * 38 - 1 = 75
2 * 38 + 1 = 77
<span>When order does not matter you use what is called n choose k formula
n!/(k!(n-k)!) where n is the number of things to choose from and k is the number of choices made, in this case:
20!/(4!(20-4)!)=4845</span>
Answer:
Z = 22
Step-by-step explanation:
plug 9 into the equation
9^2 + z = 103
81 + z = 103
subtract 81 from both sides
z = 22
do the same with -9
since you are squaring -9 this still equals 81 so the answer is the same.
Answer:
pick a graph from google
Step-by-step explanation:
there is prablly some u can pick from
Answer:
1.64×10⁷ km
Step-by-step explanation:
We know this is a triangle rectangle, so we apply the Pythagorean Theorem
QR=sqrt(PR²+PQ²)
Solving it, we will encounter in
sqrt(2.56×10¹⁴+1.296×10¹³)
to solve it, we need to bring the two numbers at the same power of ten, so we move 1.296 of one place to the left:
sqrt(2.56×10¹⁴+0.1296×10¹⁴)
we can now add the two numbers:
sqrt(2.6896×10¹⁴)
to solve this, we do the square root of 2.6896 and divide 14 by two (the index of the root is 2, so for roots' properties we can divide 14 by 2 - the index)
which gives us
1.64×10⁷
