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.
Because when you multiply by 10, it adds a zero to the end of the number, like 12*10 = 120, so vise versa for dividing
Answer:
d=2r= 2·24=48ft
Step-by-step explanation:
Answer:
15x+10-8x+2
7x+12
Step-by-step explanation:
Answer: Her total savings are equal to $11,000.
Step-by-step explanation:
Hi, to answer this question we have to write an equation.
The total savings (x) multiplied by the percentage in bonds (in decimal form) must be equal to $2,200.
Mathematically speaking:
x (20/100) = 2,200
Solving for x:
x = 2,200/ 0.2
x = $11,000
Her total savings are equal to $11,000.
Feel free to ask for more if needed or if you did not understand something.
