Answer:
11i-6
Step-by-step explanation:
Equation 1 :
| 5x - 6 | = -41.....no solution because an absolute vlue cannot equal a negative number
equation 2 :
| 7x + 13 | = 27...2 solutions
C. equation 2 has more solutions then equation 1.
So for this, you'll be using the pythagorean theorem, which is 
. In this case, 10 and 24 are the legs, and AB is the hypotenuse. Our equation will be 
Firstly, solve the exponents: 
Next, combine 100 and 576: 
And lastly, square root both sides to get 
And in short, Line AB is 26 ft, or the first option.
Don't you mean "the sum of the squares ..."?
The sum of the squares of two consecutive whole numbers is 25. Find the numbers. Let the first be represented by x and the second by x+1.
Then x^2+(x+1)^2=25. Expanding, x^2+x^2+2x+1=25.
Rewriting this as a quadratic equation in standard form,
2x^2+2x+1=25, or 2x^2+2x-24=0. Simplifying, x^2+x-12=0.
Factoring, (x-3)(x+4)=0. Solving for x: x-3=0, so x=3; x+4=0, so x=-4.
Choose the positive x value: x=3. Then the next consecutive number is 2+1=3+1=4.
Check: Does 3^2 + 4^2 = 5^2 = 25? Yes.
The numbers are 3 and 4.
