Supplementary angles is when 2 angles add up to 180 degrees.
We will name the smaller angle a and the bigger angle b.
therefore:
b - 172.6 = a
a + b = 180
Now we substitute:
a + b = 180
b - 172.6 + b = 180
2b - 172.6 = 180
2b = 352.6
b = 176.3
To find a:
a + b = 180
a + 176.3 = 180
a = 3.7
Therefore,
angle a = 3.7 degrees
angle b = 176.3 degrees.
Hope it helps and have a great day ahead
Answer:
2p + q = 1
9p + 3q + 3 = 0
q = 1 - 2p
replace q = 1 - 2p into 9p + 3q + 3 = 0
9p + 3(1 - 2p) + 3 = 0
9p + 3 - 6p + 3 = 0
3p + 6 =0
3p = -6
p = -2
q = 1 - 2p
q = 1 -2(-2)
q = 1 + 4
q = 5
(-2 , 5)
there for the answer would be
{(-2, 5)}
Hopefully this was helpful <3 :3
When it hits the ground the height would be 0.
Set h to 0 and solve for t ( time)
0 = -16t^2 + 112t + 144 divide both sides by -16:
T^2 -7t -9
Factor the polynomial :
( t- 8.1) (t+1.1
Solve for t setting each equation to 0:
T = 8.1 or t = -1.1
Time has to be positive, so the answer is
8.1 seconds
Depending on how everything gets rounded it could also be 8 seconds.
Answer:
The equation for rational function for given asymptotes is
f(x)=(-4x^2-6)/{(x-3)(x+3)}
Step-by-step explanation:
Given:
vertical Asymptotes at x=3 and x=-3 and a horizontal asymptote at
y=-4 i.e parallel to x axis.
To find:
equation of a rational function i.e function in form p/q
Solution;
the equation should be in form of p/q
Numerator :denominator.
Consider f(x)=g(x)/h(x)
as vertical asymptote are x=-3 and x=3
denominator becomes, (x-3) and (x+3)
for horizontal asymptote to exist there should have same degrees in numerator and denominator which of '2'
when g(x) will be degree '2' with -4 as coefficient and dont have any real.
zero.
By horizontal asymptote will be (-4x^2 -6)
The rational function is given by
f(x)=g(x)/h(x)
={(-4x^2-6)/(x-3)(x+3)}.
Answer:
x(85/100)
Step-by-step explanation:
100-15 = 85
x(85/100)