Answer:
x
=
(23
+
√
497 /
8)
, (23
−
√
497 /8)
x=5.66168710
Step-by-step explanation:
im too lazy. use math-way
<span>68=-16t2+64t+8
16t2-64t+60=0
4t2-16t+15=0
(2t-5)(2t-3)=0
t=5/2 or 3/2
The object is at 68 feet after 3/2 secs, and returns to 68 feet after another second..</span>
Answer:
y = x - 5
Step-by-step explanation:
Given the equation
y = x + ?
We are being asked what value is added to x to give y
Consider the table, that is
x = 1 → y = - 4
x = 2 → y = - 3
x = 3 → y = - 2
x = 4 → y = - 1
x = 5 → y = 0
x = 6 → y = 1
In each case 5 is being subtracted from x to obtain y, that is
y = x - 5 ← equation relating x and y
Answer:
Outside the circle
Step-by-step explanation:
Let's first write the equation of this circle:
, where (h, k) is the center and r is the radius. Here, the center is (-6, -2). We need to find the radius, which will just be the distance from N to E:
NE = 
The radius is √34, which means that r² = 34. So, our equation is:
(x + 6)² + (y + 2)² = 34
Plug in -10 for x and -7 for y:
(x + 6)² + (y + 2)² = 34
x² + 12x + 36 + y² + 4y + 4 = 34
x² + 12x + y² + 4y + 40 = 34
x² + 12x + y² + 4y + 6 = 0
(-10)² + 12 * (-10) + (-7)² + 4 * (-7) + 6 = 7
Since 7 > 0, we know that H lies outside the circle.