Answer:
Step-by-step explanation:
Move 3 units left and 2 units up.
We know that
<span>applying the Pythagorean theorem
c</span>²=a²+b²
c is the <span>length of the diagonal
a=100 yd
b=130 yd
c</span>²=100²+130²-------> c²=26900---------> c=√26900 units----> c=10√269 units
the answer is
the length of the diagonal is 10√269 units or 164.012 units
Answer:
Yes, at positive x-coordinates.
Step-by-step explanation:
Finding the equation for g(x):
Slope = (3-6)/ (1-0) = -3
y-intercept = y value when x = 0 = 6.
So g(x) = -3x + 6
Solve them simultaneously:
x^2 + y^2 = 16
g(x) : y = -3x + 6
Substitute for y in the first equation:
x^2 + (-3x + 6)^2 = 16
x^2 + ( 9x^2 - 36x + 36) = 16
10x^2 - 36x + 20 = 0
5x^2 - 18x + 10 = 0
x = [-(-18) +/- sqrt ( (-18)^2 - 4 * -18 * 10)] / (5*2)
= ( 18 +/- sqrt 124 )/ 10
= (1.8) +/- 1,114
These 2 roots are both positive.
Answer:
13 units
Step-by-step explanation:
=
=
=
=13 units
