Given:
The vertices of a right triangle are:

To find:
The length of the hypotenuse of the given right triangle.
Solution:
Let the vertices of the right triangle are
.
The distance formula is:

Using distance formula, we get





Similarly,




And,





Now, taking sum of squares of two smaller sides, we get




By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.
Therefore, the length of the hypotenuse is 10 units.
Answer:
yes, they are parallel lines in #23
Step-by-step explanation:
the slope of both lines is -1
Answer:
x = 17, y = 28
Step-by-step explanation:
1. Isolate for x in "x - y = -3, -8":
x - y+y = -3, -8+y
x = -11 + y
2. Substitute "x = -11 + y" in for x in the second expression:
-11 + y + y = 45
3. Simplify:
-11 + 2y = 45
4. Isolate y:
-11+11 +2y = 45+11
2y = 56

y = 28
5. Substitute the new y-value into the first equation:
x = -11 + 28
x = 17
hope this helps!
112,811 rounded to the nearest hundred thousand is 100,000
Answer:
174 packages of t-shirts PLEASE GIVE BRAINLIEST
Step-by-step explanation:
139 x 5 = 695 t-shirts are needed
695 ÷ 4 = 173.75
Since you have to purchase whole packages of t-shirts you will need to buy 174 packages of t-shirts. 174 x 4 = 696 t-shirts
174 packages