Answer:
x = 2
Step-by-step explanation:
y = 
If the denominator is equal to zero , then y is undefined.
this discontinuity can be found by equating the denominator to zero and solving for x.
x - 2 = 0 ⇒ x = 2 is the point of discontinuity
Answer:
3.8 seconds
Step-by-step explanation:
Given equation

When the ball hits the ground then height is 0
So we replace h with 0 and solve for t

a= -16 , b= 60 and c= 5
Apply quadratic formula to solve for t

=![\frac{-60+\sqrt{60^2-4\left(-16\right)\cdot \:5}}{2\left(-16\right)}[/tex[tex]=\frac{-60+-\sqrt{3920}}{-32}](https://tex.z-dn.net/?f=%5Cfrac%7B-60%2B%5Csqrt%7B60%5E2-4%5Cleft%28-16%5Cright%29%5Ccdot%20%5C%3A5%7D%7D%7B2%5Cleft%28-16%5Cright%29%7D%5B%2Ftex%3C%2Fp%3E%3Cp%3E%5Btex%5D%3D%5Cfrac%7B-60%2B-%5Csqrt%7B3920%7D%7D%7B-32%7D)



Now make two fractions and solve for x
t=
=-0.0815
t=
=3.83
So answer is 3.8 seconds
Answer:
It is not a right triangles because 15^2 + 13^2 is NOT EQUAL to 19^2
let x, y, and z be the angles inside the triangle.
Law of cosines says:
19^2 = 13^2 + 15^2 - 2(13)(15)cos x
361 = 169 + 225 - 390 cos x
-33 = -390 cos x
-33/-390 = cos x
11/130 = cos x
x = inverse cosine (11/130)
= 85.14609471338569.....
Per law of sines:
sin x/19 = sin y / 13
(13/19)sinx = sin y
inverse_sine ( (13/19) sin x) = y
y = 42.9810733896016548....
Per law of sines
sin x/19 = sin z / 15
z = inverse_sine( (15/19) sin x)
= 51.8728352950227805....
So it is an acute triangle and yes, these angles add up to 180
The answer is C hope this helps
Answer:
2
Step-by-step explanation:
The slope (m) can be found using the formula ...
m = ∆y/∆x = (y2 -y1)/(x2 -x1)
= (1 -(-5))/(4 -1) = 6/3
m = 2
The slope of the line is 2.