What is the solution to the equation m/m+4 +4/4-m = m^2/ m^2- 16 ?
2 answers:
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Answer:
Step-by-step explanation:
The vertices lie on the x-axis, as is determined by their coordinates. This makes the center of this hyperbola (0, 0) because the center is directly between the vertices. The fact that the foci also lie on the x-axis tells us that this is the main axis. What this also tells us is which way the hyperbola "opens". This one opens to the left and the right as opposed to up and down. The standard form for this hyperbola is:
and so far we have that h = 0 and k = 0.
By definition, a is the distance between the center and the vertices. So a = 5, and a-squared is 25. So we're getting there. Now here's the tricky part.
The expressions for the foci are (h-c, k) and (h+c, k). Since we know the foci lie at +/-13, we can use that to solve for c:
If h+c = 13 and h = 0, then
0 + c = 13 and c = 13.
We need that c value to help us find b:
and
and
and
so
b = 12. Now we're ready to fill in the equation:
and there you go!
Hey there, Lets solve this problem together.
The First step is to line up the numbers.
<span>We calculate </span>
<span>the result of which is </span>
<span>
</span>
<span>We calculate </span>
<span> the result of which is </span>
<span>.
</span>
Since we get a negative number in the next column, we must take 1 from the next column and carry it over to this column. Now the number will be changed to 10.
We calculate
, and the result is 
.
<span>We calculate </span>
<span> the result of which is</span>
<span>.
</span>
Therefore,
The First step is to line up the numbers.
<span>We calculate </span>
</span>
<span>We calculate </span>
</span>
Since we get a negative number in the next column, we must take 1 from the next column and carry it over to this column. Now the number will be changed to 10.
We calculate
<span>We calculate </span>
</span>
Therefore,
Answer: By cross multiplication.
Step-by-step explanation: Given product is 3 × 292.
We know that after simple multiplication, we get 3 × 292 = 876.
Now, to check division with multiplication, either we need to divide 876 by 3 to get the answer 292,
or
we need to divide 876 by 292 to get the answer 3.
We will do that as follows -
Thus, doing cross-multiplication, we arrive at our conclusion.