The correct question is
<span>What is the equation in standard form of an ellipse centered at the origin and vertex (4,0) and focus (1,0)
</span>
we know that
<span>Standard form of equation for an ellipse with horizontal major axis is
(x-h)</span>²/a²+(y-k)²/b²=1
the center is the origin
so
(h,k) is (0,0)<span>length of horizontal major axis------> 8=2a-----> a=4
a</span>²=16
c=1 (distance from center to focal point)
c²=1
b²=a²-c²-----> b²=16-1----> b²=15
the equation is
(x)²/16+(y)²/15=1
the answer is
(x)²/16+(y)²/15=1
Answer:
Step-by-step explanation:
180-90=90÷2=45
45÷2=22.5
22.5+22.5=45
180-45=135
Angle 0AC=22.5
Angle OCA=22.5
Angle AOC=135
Answer:
Step-by-step explanation:
Based on what you have here as the slope we can set the slope formula equal to 34 using the points (0, 8) and (8, c) to solve for c, then use the points (0, 8) and (a, 5) to solve for a.
c first:
and
and
c - 8 = 272 s0
c = 280
For a:
and
and
-34a = 3 so

That seems a little weird, but when you plug those points into the slope formula to solve for the slope, it works out the way it should.
Given:
Mason throws a coin 3 times.
The outcome of each throw is either Heads or Tails.
To find:
The list of all the possible outcomes of the 3 throws.
Solution:
Let H represents heads and T represents tails.
For each throw we have 2 choices either H or T.
For three throws the total number of possible outcomes is
Now, list the possible outcomes as shown below.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
Therefore, the list of 8 possible outcomes is HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.
<u>Corrected Question</u>
These are the given probabilities. The Venn diagram is also attached. are (A) P(A|C) = 2/3
(B) P(C|B) = 8/27
(C) P(A) = 31/59
(D) P(C) = 3/7
(E) P(B|A) = 13/27
Answer:
A and C
Step-by-step explanation:


From the above, only A and C are correct.