Answer:
29
Step-by-step explanation:
(c − b)^2 + a^2
Let a = –5, b = –2, and c = –4.
(-4--2)^2 + (-5)^2
(-4+2)^2 + (-5)^2
(-2)^2+ (-5)^2
4 +25
29
For the sequence 2, 6, 18, 54, ..., the explicit formula is: an = a1 ! rn"1 = 2 ! 3n"1 , and the recursive formula is: a1 = 2, an+1 = an ! 3 . In each case, successively replacing n by 1, 2, 3, ... will yield the terms of the sequence. See the examples below.
Answer:
Step-by-step explanation:
a) To find the length of diagonal XT, we can use the distance formula to get ![\sqrt{(-3-5)^{2}+(4-(-2))^{2}}=10](https://tex.z-dn.net/?f=%5Csqrt%7B%28-3-5%29%5E%7B2%7D%2B%284-%28-2%29%29%5E%7B2%7D%7D%3D10)
Since this is a rectangle, XT=YW, meaning YW=10 as well.
b) The area of a rectangle is given by length times width. The length is |-3-5|=8, and the width is |-2-4|=6. So the area is (8)(6)=48.
c) The perimeter is just 2(8+6)=28.
Answer:
A). slope = -1/12 y-intercept = 3/2
Step-by-step explanation:
y = -1/12x + b
2 = -1/12(-6) + b
2 = 1/2 + b
3/2 = b
y = -1/12x + 3/2
Answer:
9
Step-by-step explanation:
2x=28-10
2x=18
x=18÷2
x=9