Information : The given hyperbola is a horizontal hylerbola with its centre (3 , -5) and one of its focus at (9 , -5) and vertex at (7 , -5) and as we can see that the focus and vertex have same y - coordinates, it must have its Transverse axis on line y = - 5.
Now,
it's vertex is given, I.e (7 , -5)
so, length of semi transverse axis will be equal to distance of vertex from centre, i.e
Now, it's focus can be represented as ;
so,
and we know, a = 4
Now, let's find the measure of semi - conjugate axis (b)
So, it's time to write the equation of hyperbola, as we already have the values of a and b ~
[ plug in the values, and h = x - coordinate of centre, and k = y - coordinate of centre ]
<span>From the problem, you can get this equation:
Jane is 2 years older than Sally
J=z+2
David is 4 times older than Jane.
D=4J
</span>Write two equivalent expressions that represent David’s age in terms of Sally’s age, z, and explain how the two expressions relate to one another.<span>Sally is z years old.
From the 2 equation above, you can get:
</span>D=4J
D=4(z+2)
D=4z+8
D-8=4z
(D-8)/4=z
The two equivalent expression would be D=4z+8 and (D-8)/4=z
The expression that more usefull would be D=4z+8 if you want to determine David age.
Area of a triangle= 1/2bh
14x5.5=77
77/2=38.5cm^2
Answer:
A
Step-by-step explanation:
Set up equation
Subtract 292,388 from 1,620,151.13
Divide
Here is your answer > >
Width of rectangle =15 inches
Length of rectangle =?
Diagonal of rectangle = 25 inches
We know that
(Diagonal of rectagle)^2=length^2+breadth^2
(25)^2=l^2+(15)^2
625=l^2+225
l^2=625-225
l^2=400
l=Root 400
l=20 inches
Hope it helps!
Thankyou ☆ ☆
Bebrainly
