The distance formula is the radical (x2-x1)2 + (y2-y1)^2. So for the x value, you subtract (-1) from 8. But be careful. It’s not 8-1. IT’S 8-(-1). Which x value, 9 should be squared. Which it is 81. The y value, you subtract 0 from 6. Which you should have 6 as your y value. Then, again you have to squared it. So, 6^2 is 36. Now that you have both of your x and y value, you have to subtract them again. In order to subtract, you subtract the y value from the x value. In other words, 81-36. The answer should be 45. But 45 is irrational. Because it can’t be rational under the radical form. So to simplified it, you have to find a number that is rational enough to get out from the inside of the radical form. The only number that would work is 9 and 5. So rad 9 is rational because it could escape from the inside. Which it’s 3 once it’s out. But, 5 is irrational and can’t go out. As a result, the answer is 3 rad 5. Or the 3 is outside of the radical form and 5 is the inside.
Answer:
x=-2, y=-6
Step-by-step explanation:
Simple substitution.
Since y is isolated in one of the equations already, you can plug it into the second equation.
x - 2(3x) = 10
x - 6x = 10
-5x = 10
x = -2
Sub. x = -2 into 3x = y:
3(-2) = y
y = -6
Answer:
See below.
Step-by-step explanation:
The rocket's flight is controlled by its initial velocity and the acceleration due to gravity.
The equation of motion is h(t) = ut + 1.2 g t^2 where u = initial velocity, g = acceleration due to gravity ( = - 32 ft s^-2) and t = the time.
(a) h(t) = 64t - 1/2*32 t^2
h(t) = 64t - 16t^2.
(b) The graph will be a parabola which opens downwards with a maximum at the point (2, 64) and x-intercepts at (0, 0) and (4, 0).
The y-axis is the height of the rocket and the x-axis gives the time.
Maximum height = 64 feet, Time to maximum height = 2 seconds, and time in the air = 4 seconds.
Answer:
x + 5x
Step-by-step explanation:
X is the variable in this case, or 'a number.' This number x is added to the product of 5 and the number, or 5x. Therefore the expression is x+5x. It can also be simplified to 6x.
