Answer:
yes, it is a right triangle and ∡Q is the right angle
Step-by-step explanation:
if the slope of QR is the opposite reciprocal of QS then the two segments are perpendicular and form a 90° angle
slope of QR: -3 - (-1) ÷ 2 - 0 = -2 ÷ 2 = -1
slope of QS: -3 - (-1) ÷ 2 - 4 = -2 ÷ -2 = 1
-1 and 1 are opposite and reciprocal so m∡Q = 90°
Answer:
Absolute maximum is 2
Absolute minimum at -2
Step-by-step explanation:
The given parametric functions are:

By the chain rule:


At fixed points, 

This gives
on 
This implies that the extreme points are
and 
By eliminating the parameter, we have 
This is a circle with radius 2, centered at the origin.
Hence (0,2) is an absolute maximum ,at
and (0,-2) is an absolute minimum at 
Answer:
A ≈ 43.3 cm²
Step-by-step explanation:
the area (A) of an equilateral triangle is calculated as
A =
( s is a side of the triangle )
given perimeter = 30 cm , then
s = 30 cm ÷ 3 = 10 cm
then
A =
=
= 25
≈ 43.3 cm² ( to the nearest tenth )