The point (-1, -4) lies in the third quadrant
Answer:
HIS IS A MULTI STEP LINEAR EQUATIONS PROBLEM.
A family is deciding on which cell carrier to switch to. They have the exact same services. Option one is ATTEL. They have a flat fee of 20 per month, and an extra $5.50 per GB. The second option is PACBEL. They have a plan that charges nothing per month, but they charge $6 per GB. Use the chart below to create a system of equations and solve
Step-by-step explanation:divided by 2
Answer:
Step-by-step explanation:
First, the acceleration of gravity is -9.8m/s^2. This still works out since the formula uses 1/2 of it.
Hopefully you see where the other parts come from. Anyway, standard form of a quadratic is ax^2+bx+c=0. So this is almost there. You just need to subtract that 2.1 from both sides.
-4.9t^2+7.5t+-.3=0
Now with this, since it has taken into account the height that the ball was caught with that 2.1, you just need to find the 0s, which is what the quadratic equation does.
The quadratic equation is (-b±sqrt(b^2-4ac))/(2a) and we have a = -4.9, b = 7.5 and c = -.3. Remember you want to keep the signs. Now we just plug in.
(-b±sqrt(b^2-4ac))/(2a)
(-7.5±sqrt((-7.5)^2-4*-4.9*-.3))/(2*-4.9)
(-7.5±sqrt(56.25-5.88))/(.9.8)
(-7.5±sqrt(50.37))/(-9.8)
(-7.5±7.097)/(-9.8)
The plus or minus means there are two equations.
(-7.5+7.097)/(-9.8) and (-7.5-7.097)/(-9.8) So we will solve for both of these.
.04112 and 1.4895. That means these two times are when the ball is at 2.1 meters. One time on the way up and one time on the way down. We can safely assume that the other player catches the ball on the way down, so we want to use the second time, so 1.4895 seconds.
Answer:
d=5,5
r=6,7
Step-by-step explanation:
Y=-x-2
y=3x+2
multiply the first equation by 3: 3y=-3x-6
add up this equation with equation 2: 4y=-4, y=-1
-1=3x+2, x=-1
so the solution point is (-1,-1)
