Answer:
12<x<16
Step-by-step explanation:
if c^2 > a^2 + b^2
then the triangle is obtuse
since 20 is the longest side
20^2 > x^2 + (x+4)^2
simplify
400 > x^2 + (x+4)(x+4)
FOIL
400 > (x^2 ) + (x^2 + 4x+4x+16)
combine like terms
400 > (2x^2 + 8x+16)
divide by 2
400/2 > 2x^2 /2 + 8x/2 + 16/2
200 > x^2 + 4x +8
subtract 200 from each side
0> x^2 + 4x +8-200
0> x^2 +4x-192
Factor
0 > (x-12) ( x+16)
using the zero product property
0> x-12 0 > x+16
12>x -16>x
x must be greater than 12
we know the longest side is 20
x+4 < 20
subtract 4
x< 16
x>12 and x < 16
12<x<16
<span>Slope = 8.000/2.000 = 4.000
x-intercept = 1/-4 = -0.25000<span>
y-intercept = 1/1 = 1.00000
</span></span> <span> y-(4*x+1)=0 </span>
The rise is the vertical distance between the two points, which is the difference between their y-coordinates. That makes the rise y2 − y1. The run between these two points is the difference in the x-coordinates, or x2 − x1.
For 0 minutes she can burn 0 calories
For 10 minutes she can burn 20-40 calories
For 15 mins she can burn 40-60 calories
For 30 minutes she can burn 140-295 calories
I hoped this helped!
Have a great day/night! :)
Rise mean how many units you move up or down from point to point.
