Answer:
See below
Step-by-step explanation:
Y component of velocity is 70 sin 30°
y position = 3 + 70 sin 30° * t - 1/2 a t^2
when the ball hits the ground y = 0
0 = 3 + 70 sin 30° t - 1/2 (32.2)t^2
- 16.1 t^2 + 35t + 3 = 0
Use Quadratic Formula to find t = <u>2.26 seconds</u>
Horizontal component of initial velocity
70 cos 30° distance horizontal = 70 cos 30° * t
= 70 cos 30° (2.26) =<u> 137.0 ft</u>
Answer:
The first option
Step-by-step explanation:
The domain of a rational function should be all real numbers except for when the denominator is equal to 0. To find when the denominator is equal to 0 you simply need to find the zeroes of the denominator... but in this case you can do that through factoring and using the quadratic equation.
So first step is going to be to factor out the GCF, which in this case is x. This gives you the equation. 
. So one of the zeroes is when x=0. Now to find the other two zeroes you can use the quadratic equation which is 
. So to find the other zeroes you simply plug the values in. a=2, b=-1, c=-15
<h3>
Answer: Quadrilateral</h3>
======================================================
Explanation:
Of your original given list, let's write down the parallelograms. They are:
- Parallelogram
- Rectangle
- Rhombus
- Square
So we cross those off the list since we want a quadrilateral with no sides parallel. A parallelogram, by definition, is a quadrilateral with both pairs of opposite sides that are parallel.
We can also rule out the trapezoids because a trapezoid is a four sided figure (quadrilateral) where we have exactly 1 pair of parallel sides, while the other sides are not parallel.
Lastly, we can rule out the kite because any kite has perpendicular diagonals.
The only thing left is quadrilateral. In my opinion this answer should be more specific and say "quadrilateral that isn't a parallelogram, a trapezoid, or a kite", but I think I see what your teacher was going for here.
Answer:
Estelle paid $104 in total.
Step-by-step explanation:
15% of $80.00 is 12. So add 12 two times to 80 because of 15% sales tax and 15% tip.
Answer:
(-5, -30)
Step-by-step explanation:
We start with the equation:
y = 6x
y = -4x - 50
Since both of them are equal to y, we can substitute the 6x into y. So:
6x = -4x - 50
Now we can solve for x. Add 4x to both sides...
6x = -4x - 50
+4x +4x
10x = -50
Now, divide both sides by 10.
<u>10x</u> = <u>-50</u>
10 10
x = -5
So, we now know that x is -5. Now we know this, we can substitute -5 where we see x. It works in both equations, so I will do both.
y = 6(-5)
y = -30
And...
y = -4(-5) - 50
y = 20 - 50
y = -30
As you can see, both equations show that y = -30. To check our work, let's plug in the values.
-30 = 6(-5)
-30 = -30
Also:
-30 = -4(-5) - 50
-30 = -20 - 50
-30 = -30
So, we can see that both of the equations gave us the same answer. So, our answer is x = -5 and y = -30, so the ordered pair is: (-5, -30). Hope this helps you!
