5
x
+
15
+
2
x
=
24
+
4
x
Add
5
x
and
2
x
.
7
x
+
15
=
24
+
4
x
Move all terms containing
x
to the left side of the equation.
3
x
+
15
=
24
Move all terms not containing
x
to the right side of the equation.
3
x
=
9
Divide each term by
3
and simplify.
x
=
3
Using P(A∪B) = P(A) + P (B) - P(A∩B)
If we apply this in the question
Then P(S∪T) = P(S) + P(T) - P (S∩T)
= 6/11 + 1/10 - P (S∩T)
= 71/110 - P (S∩T)
But events S and T are mutually exclusive events therefore,
P(S∩T) = 0,
Hence P(S∪T) = 71/110
Answer:
111 degrees
Step-by-step explanation:
the total degrees in a hexagon is 720 degrees.
the known angles add up to 379, so there is 341 degrees left.
angle KFE is 105 degrees because it adds up to 180 degrees with GFK.
angle LAD is 130 degrees because it adds up to 180 degrees with BAD.
130+105=230, so there is now 111 degrees left and that is angle x
Answer:
Into 1/3 pieces
Step-by-step explanation:
1/3 + 1/3 + 1/3 = 1 the whole pizza pie, yum
<h3>
Answer: c. 8(y-6) = (x-2)^2</h3>
Explanation:
The directrix is horizontal, so the axis of symmetry is vertical. We'll have an x^2 term. The vertical distance from y = 4 to y = 8 is 4 units. Cut this in half to get 2, which is the focal distance p = 2.
The point (2,4) is directly below (2,8), and the point is on the directrix. The midpoint between (2,4) and (2,8) is (2,6). This is the vertex.
(h,k) = (2,6)
4p(y-k) = (x-h)^2
4*2(y-6) = (x-2)^2
8(y-6) = (x-2)^2
