Answer:
(
,
)
Step-by-step explanation:
The equation of a midpoint is as follows:

The x-coordinate:
x1 = 7, x2 = -8
7+(-8) = -1
Divide by 2 to get the x-midpoint
-1/2
The y-coordinate
y1 = -4, y2 = -5
-4 + (-5) = -9
Divide by 2 to get the y-midpoint
-9/2
You get:
(
,
)
In this question , it is given that, Perimeter of a rectangular room is 270 yards. Longer side of the room is 15 yards longer than the shorter side.
So if we let shorter side be x, then longer side is

And perimeter is equal to sum of all sides, that is

So the smaller side is 60 yards , and longer side is 15 more then 60 that is 75 yards .
If the legs of a right triangle are a and b and the hypotnuse is c then
a²+b²=c²
so we are given
the legs are x and √7
and the hypotnuse is √19
so
x²+(√7)²=(√19)²
x²+7=19
minus 7 both sides
x²=12
sqrt both sides
x=√12
x=√(4*3)
x=(√4)(√3)
x=2√3
Answer:
see explanation
Step-by-step explanation:
Using the identity
tan x = 
Consider the left side

=
( multiply numerator and denominator by cos²x to clear fractions
=
← ( cos²x + sin²x = 1 ]
= cos²x - sin²x
= right side , thus proven