I realize that the equation is different, but do it in the same way, it'll help! It is given that the water taxi's path can be modeled by the equation y =0.5(x - 14)^2. Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the y-intercept of the line. The y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of equations, solve the system using substitution. First, write the equation that models the water taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for y in the equation and then solve for x. As the expression on the left side of the equation cannot easily be factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.
In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.
Number one is -6 and 10
Number two is -55 and 4
<span>7s over 5t to the negative 3rd power 2 to the negative 3rd power times X to the 2nd power times Z to the negative 7th power 7s to the zero power times T to the negative 5th power over 2 to the negative 1st power times M to the 2nd power If you would please simplify these </span>
Not this riddle again
3 kids
what you are supposed to do is factor 72 and see their sums
1+1+72=74
1+2+36=39
1+3+24=28
1+4+18=23
2+2+18=22
1+6+12=19
2+3+12=17
1+8+9=18
2+4+9=15
2+6+6=14
3+3+8=14
3+4+6=13
notice that all the sums are different except for the 2 that add to 14
since there is not enough info, we can conclude that the sum was 14 and that the ages is either 2,6,6 or 3,3,8
after he says, "the youngest is called justice"
now we know there is a youngest
it cannot be 3,3,8 because 3 and 3 are both youngest
therefor the ages are
2,6 and 6 years old
