Answer:
2. 1 / a^2
3, 1
4. - 1
Step-by-step explanation:
Formulas : -
x^y / x^z = x^( y - z )
x^-y = 1 / x^y
x^y / x^y = 1
2.
a^2 / a^4
= a^( 2 - 4 )
= a^-2
= 1 / a^2
3.
m^6 / m^6 = 1
4.
- 8^4 / 8^4
= - 1 x 8^4 / 7^4
= - 1
Add -7y and divide both sides to get one solution (0.20588)
Answer:

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

(h, k) - center
r - radius
We have the endpoints of the diameter: (-1, 6) and (5, -4).
Midpoint of diameter is a center of a circle.
The formula of a midpoint:

Substitute:

The center is in (2, 1).
The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.
The formula of a distance between two points:

Substitute the coordinates of the points (2, 1) and (5, -4):

Finally we have:

The length of the unknown leg of the triangle is 15 m.
<u>Step-by-step explanation:</u>
Length of one leg = 20 m
Length of the hypotenuse= 25m
As it is a right angled triangle we can use pythogoras theorem.
Let the unknown length be y
(20) (20) + y(y) = (25) (25)
400 + y(y) = 625
y(y) = 225
y = √225
y = 15
The length of the unknown leg is 15 m.
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