Answer:
u = 40° , v = 40° and x = 100°
Step-by-step explanation:
i) from the rule of triangle we know that the sum of all three angles = 180°
ii) 100° + 40° + y = 180°. Therefore y = 40°. where y is the angle adjacent to v.
iii) from theorem on parallel lines we can say that u = y =40°
iv) from the properties of parallel lines we get v = 40° as interior alternate angles are equal.
v) again from the properties of parallel lines we get u = 40°
vi) using the triangle property as in i) we can see that u + v + x =180° therefore 40° + 40° + x = 180°. Therefore x = 100°.
vii) Therefore u = 40° , v = 40° and x = 100°
The amount that it rises each minute forms a geometric sequence...
a(n)=ar^(n-1), and we know that a=100 ft and r=1/2 so
a(n)=100(1/2)^(n-1)
And the sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r)
s(n)=100(1-0.5^n)/(1-0.5)
s(n)=200(1-0.5^n)
So we can call these sums the height function
h(t)=200(1-0.5^t)
So after 5 minutes...
h(5)=200(1-0.5^5)
h(5)=193.75 ft
I am almost 100% sure that this is the correct answer -1/32.
Answer:
x= -3
y= -5
Step-by-step explanation:
10y - 3x = -41
+
-5y + 3x = 16
10y + (-5y) = 5y
-3x + 3x = 0
-41 + 16 = -25
5y + 0 = -25
y = -25/5
y= -5
10y -3× = -41
(10×-5) - 3x = -41
- 3x = - 41 + 50
- 3x = 9
x = -3
Transformations
(x-3)...: That means the graph shifted 3 units right.
...-1: that means the graph shifted 1 unit down.
answer: 3 units right, and 1 down
