The equation of a hyperbola is:
(x – h)^2 / a^2 - (y – k)^2 / b^2 = 1
So what we have to do is to look for the values of the variables:
<span>For the given hyperbola : center (h, k) = (0, 0)
a = 3(distance from center to vertices)
a^2 = 9</span>
<span>
c = 7 (distance from center to vertices; given from the foci)
c^2 = 49</span>
<span>By the hypotenuse formula:
c^2 = a^2 + b^2
b^2 = c^2 - a^2 </span>
<span>b^2 = 49 – 9</span>
<span>b^2 = 40
</span>
Therefore the equation of the hyperbola is:
<span>(x^2 / 9) – (y^2 / 40) = 1</span>
Answer:
The smallest whole number length is 12
Step-by-step explanation:
The sum of any two sides of any triangle must be greater than the length of the third side.
In this case, the two smallest sides of the triangle must be greater than the third side to satisfy the statement above.
Let "x" = the length of the third side.
Our two smaller sides are "x" and "4", and their sum must be greater than 15.
x + 4 > 15
x > 15 - 4
x > 11
Answer:
the answer is $31
Step-by-step explanation:
first you multiply 2 and 8 = 16
then multiply 3 and 5 =15
then add both and the answer will come out as 31
hope this is helpful =)
80/100 also eighty out of a hundred.
Answer:
70.52 degrees
Step-by-step explanation:
To find the angles, we must first find the lengths of each side of the triangle. Adding up the respective radii, we can see that
XY = 5+4 = 9 CM
XZ = 6+5 = 11 CM
ZY = 4+6 = 10 CM
Now we can apply the cosine rule
We need to rearrange the rule to solve for x, our missing angle
solving for our unknown angle:
Therefore angle YXZ is 70.52 degrees
