Answer:
17
Step-by-step explanation:
Pythagorean Theorem
a^2 + b^2 = c^2
8^2 + 15^2 = c^2
64 + 225 = c^2
c^2 = 289, c = 17
8, 15, 17 is also a common Pythagorean triple.
Answer:
(2, - 4 )
Step-by-step explanation:
Given the 2 equations
10x + 7y = - 8 → (1)
7x + 7y = - 14 → (2)
Subtract (2) from (1) term by term to eliminate y
(10x - 7x) + (7y - 7y) = - 8 - (- 14) , that is
3x = 6 ( divide both sides by 3 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
10(2) + 7y = - 8
20 + 7y = - 8 ( subtract 20 from both sides )
7y = - 28 ( divide both sides by 7 )
y = - 4
solution to the system of equations is (2, - 4 )
It is 2 and 3/5 your welcome :)
~ Use the distance formula to measure the lengths of the sides.
~ Use the slope to check whether sides are perpendicular and form right angles.
~ Use the slope to check whether the diagonals are perpendicular to each.
I hope this helps ^-^
Answer:
Her usual rate is 0.8333 miles per hour.
Step-by-step explanation:
The velocity formula is given by:
In which d is the distance and t is the time.
She completed the first half of the walk 1 mi/h faster than usual
Her usual rate is v. 1mph faster is v + 1.
The second half of the walk 2 mi/h slower than the first half.
The first half is v + 1.
2mph slower is v + 1 - 2 = v - 1. Then
Total rate:
7.2 hours, and 6 miles. So
One half is v+1 and the other is v - 1. This is why each is multiplied by 0.5.
Her usual rate is 0.8333 miles per hour.
