Using continuity concepts, it is found that the correct options are:
- The function is continuous at x = -4.
- The function has an infinite discontinuity at x = -1.
-----------------------------
A function f(x) is continuous at x = a if:
-----------------------------
- At x = -4, there are no changes in the definition of the function, thus, it is continuous.
- At x = -1, we have that:
- A different definition depending on the which side of -1 the function is, thus, it is a jump discontinuity.
A similar problem is given at brainly.com/question/21447009
So you know the horizontal acceleration is zero
integrating this you can find the horizontal velocity as
<span><span>vh</span>=Vcos(α)</span>
V = initial velocity 1200 ft/sec
the angle is 45 so you have
<span><span>vh</span>=1200cos(45)</span>
if you integrate this equation with respect to time (t) you get the horizontal displacement equation.
the initial condtions for the horizontal displacement seem to bet at t = 0, x = 0
then when you get the equation, just substitute t = 2 and evaluate
The longest of the four side lengths is 24 cm
<h3>How to find the value of the longest of the four side lengths?</h3>
The given parameters are:
Perimeter, P = 90 cm
The lengths are consecutive integers
Let the smallest be
Smallest = x
So, we have
P = x + x + 1 + x + 2 + x + 3
Evaluate the like terms
P = 4x + 6
Substitute P = 90 cm in P = 4x + 6
4x + 6 = 90
Subtract 6 from both sides
4x = 84
Divide by 4
x = 21
The longest side is
Longest = x + 3
This gives
Longest = 21 + 3
Evaluate
Longest = 24
Hence, the longest of the four side lengths is 24 cm
Read more about perimeter at:
brainly.com/question/19819849
#SPJ1
X² + y² - 4 x + 2 y = b
x² - 4 x + 4 + y² + 2 y + 1 = b + 4 + 1
( x - 2 )² + ( y + 1 )² = b + 5
y - coordinate of the center of the circle is: y = - 1
b + 5 = r
b + 5 = 7
b = 7 - 5
b = 2
