Answer:

Step-by-step explanation:
(r⁻⁷)⁶ = r⁽⁻⁷⁾ˣ⁶
= (r)⁻⁴²
Answer:
Area of rectangle = 225/2 or 112.5
Step-by-step explanation:
Given,
Consider a rectangle ABCD.
Let AC be a diagonal of rectangle of length = 15
In triangle ABC.
Sin 45° =height/hypotenuse {SinФ = height / hypotenuse}
Here, hypotenuse = diagonal of rectangle ( i.e AC = 15)
And height is AB
Therefore, sin 45° = AB/AC
or sin 45° = AB / 15
or 1/√2 = AB /15
AB = 15/√2
Similarly we can find Base (i.e BC) using cosine.
Cos 45° = Base/Hypotenuse
Cos 45° = BC / AC
or 1/√2 = BC/15
BC = 15/√2
Hence we got length of rectangle , AB= 15/√2
And width of rectangle , BC = 15/√2
Therefore, area of rectangle = Length × Width
Area of rectangle = 15/√2 × 15/√2 = 225/2
Hence, area of rectangle = 225/2 = 112.5
Greetings!
"<span>Six times a number increased by 20 is four less than eight times the number. Find the number."...
This would be, as an equation:
</span>

Solve:
Add
4 and
-6x to both sides.

Simplify.

Divide both sides by
2.

Simplify.


<span>
x=12Hope this helps.
-Benjamin
</span>
Answer:
(0, 1/5)
Step-by-step explanation:
Since b is 2/5 of the distance from a to c, it is ...
b = a + 2/5(c -a) = 3/5a +2/5c
b = (3a +2c)/5 = (3(-8, 3) +2(12, -4))/5 = (-24+24, 9-8)/5 = (0, 1/5)
Point b is (0, 1/5).