Answer:
z+372=160
Step-by-step explanation:
Answer:

Step-by-step explanation:
The standard form of an equation of a circle:

(h, k) - center
r - radius
We have the endpoints of the diameter of a circle (-8, -6) and (-4, -14).
The midpoint of a diameter is a center of a circle.
The formula of a midpoint:

Substitute:

We have h = -6 and k = -10.
The radius is the distance between a center and the point on a circumference of a circle.
The formula of a distance between two points:

Substitute (-6, -10) and (-8, -6):

Finally we have

Answer:
the answer is 20.5 i hope this helps you
Step-by-step explanation:
Given:
u varies directly with the square of p and inversely with d.
To find:
The equation for the given situation.
Solution:
If y is directly proportional to x, then

If y is inversely proportional to x, then

It is given that u varies directly with the square of p and inversely with d. So,

It can be written as:

Where, k is the constant of proportionality.
Therefore, the required equation is
.
Answer:
Option B
40x + 50y = 130
5x - 4y = 16
Option C
20x + 25y = 65
-20x + 16y = 64
Step-by-step explanation:
we have
----> equation a
----> equation b
we know that
If two system of equations are equivalent, then their solution is the same
Part 1)
step 1
Multiply by 10 equation a both sides

----> equation a'
step 2
Divide by 2 equation b both sides

----> equation b'
so
The system of equations a and b and the system of equations a' and b' are equivalent
therefore
The system of equations a' and b' have the same solution as the given system
Part 2)
step 1
Multiply by 5 equation a both sides

----> equation a'
step 2
Multiply by -2 equation b both sides

----> equation b'
so
The system of equations a and b and the system of equations a' and b' are equivalent
therefore
The system of equations a' and b' have the same solution as the given system