Answer:
Step-by-step explanation:
If the smallest number is 'x', then the other number = x +1
x*(x+1)= 420
Use distributive property
x*x + x*1 = 420
x² + x - 420 =0 ------> this is the required quadratic equation.
For the 1st member, you have 10 possible choices.
For the 2nd, you have 9 remaining choices.
For the 3rd: 8.
So all possible combinations would be:
10*9*8*7*6 = 10! - 5! = 30,240 combinations.
Answer:
The distance that Peter rides is:
Step-by-step explanation:
To identify the miles that Peter rides, you must imagine the triangle with measures: 3.36 miles, 4.18 miles, and 5.61 miles. How you can suppose, Peter regularly rides exactly by each side of the triangle mentioned, then you must find the perimeter of the triangle to identify the miles that Peter rides, remember that the perimeter of an irregular triangle is:
- Perimeter of a triangle = side + side + side
If you replace the formula, you obtain:
- Perimeter of a triangle = 3.36 miles + 4.18 miles + 5.61 miles
- <u>Perimeter of a triangle = 13.15 miles</u>
Answer:
x=6
Step-by-step explanation:
To find the perimeter of the triangle you need to add up all the sides, so if all the sides are 2x-3 the equation will look like this;
2x-3+2x-3+2x-3=27
which when combining like terms will leave it to be;
6x-9=27
Than move all the factors besides x over to the right side;
6x-9+9=27+9
6x = 36
6x/6 = 36/6
x = 6
so your answer will be x=6
