Answers:
- C) x = plus/minus 11
- B) No real solutions
- C) Two solutions
- A) One solution
- The value <u> 18 </u> goes in the first blank. The value <u> 17 </u> goes in the second blank.
========================================================
Explanations:
- Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
- There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
- The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
- We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
- Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
Answer:
C. The circumference of circle 1 is less than the circumference of circle 2.
Step-by-step explanation:
6<7
We know that the formula for the area of a circle is πr². This means the greater the radius, the greater the area.
We also know that the formula for circumference is 2πr. It is also dependent on radius. The greater the radius, the greater the circumference.
Given that Circle 2 has a greater area, this means that it has a greater radius which in turn means that it has a greater circumference.
C. The circumference of circle 1 is less than the circumference of circle 2.
Answer:
10
Step-by-step explanation:
150 divided by 15 is 10 and boom you have your answer
Answer:
25 inches
Step-by-step explanation:
i first started with 18×8=144 then i did 144-119 and got 25.
