Answer:
Step-by-step explanation:
S = (x1,y1) = (0,-5)
T = (x2,y2) = (-8,-7)
<u>Using distance formula to find the length of ST</u>.
![|ST|= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\|ST| = \sqrt{(-8-0)^2+(-7-(-5))^2} \\\\|ST| = \sqrt{(-8)^2+(-7+5)^2} \\\\|ST| = \sqrt{64+(2)^2}\\\\|ST| = \sqrt{64+4} \\\\|ST| = \sqrt{68} \\\\|ST| = 8.2 \ units\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%7CST%7C%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D%20%5C%5C%5C%5C%7CST%7C%20%3D%20%5Csqrt%7B%28-8-0%29%5E2%2B%28-7-%28-5%29%29%5E2%7D%20%5C%5C%5C%5C%7CST%7C%20%3D%20%5Csqrt%7B%28-8%29%5E2%2B%28-7%2B5%29%5E2%7D%20%5C%5C%5C%5C%7CST%7C%20%3D%20%5Csqrt%7B64%2B%282%29%5E2%7D%5C%5C%5C%5C%7CST%7C%20%3D%20%5Csqrt%7B64%2B4%7D%20%5C%5C%5C%5C%7CST%7C%20%3D%20%5Csqrt%7B68%7D%20%5C%5C%5C%5C%7CST%7C%20%3D%208.2%20%5C%20units%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Explanation:
Remember the following properties of real numbers:
Reflexive property:
This property states that a number is always equal to itself.
This property is different from the equivalent equations property. In fact, two equations that have the same solution are called equivalent equations,
Division property of equality:
This property states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal.
Substitution property of equality:
This property states that if x = y, then x can be substituted in for y in any equation.
We can conclude that the correct answer is:
Answer:Drop Down 1: reflexive property
Drop Down 2: division property of equality.
Drop Down 3: substitution
Step-by-step explanation:
1) 3^5 × 3^3 = 3^(5+3) = 3^8
=> 3^5 × 3^3 = 3^8
2) 3^3 × 5^3 = (3×5)^3 = 15^3
=> 3^3 × 5^3 < 15^5
3) 3^5 × 5^3 = 3^2×(3^3 × 5^3)
= 3^2 × 15^3 = 9×15^3
=> 3^5 × 5^3 > 15^3
Answer:
1: 155
2: 222
3: 44
4: 132
5: 163
6: i dont know
7: 202
8:?
9: ?
hope this helped!
Step-by-step explanation:
Answer:
A and C and E
Step-by-step explanation:
