Plug 4 in for every x
(3*4)-4=8
(4^2)-1=15 [(4^2) is 4*4]
(2*(4^2))-15= 15 [because of PEMDAS the exponent comes first and then multiply by 2 then subtract]
Perimeter is the sum of the lengths so add up all the sides from above
8+15+15=38
Answer:
3
Step-by-step explanation:
2.7 * 10 ^-5 / 9 * 10 ^-6
First divide the numbers
2.7 / 9 = .3
Then divide the exponents
10^-5 / 10 ^ -6
When we divide exponents we subtract
10^(-5 - -6) = 10 ^1
.3 * 10 ^1
But scientific notation has a number between 1 and less than 10
Move the decimal 1 place to the left, so we subtract 1 from the exponent
3 * 10 ^ (1-1)
3 * 10 ^0
Answer:
B {6, 6, 7}
Step-by-step explanation:
Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
For a given triangle with 3 sides, the sun of the length of any two sides must be greater Than the third side. This can be expressed mathematically as;
Let the side be ;
x, y and z
Then:
x > (y + z) or
y > (x + z) or
z > (x + y)
For A{2,5,9}
(2 + 5) < 9 (does not meet criteria)
For B {6,6,7}
(6 +6) > 7
(7 +6) > 6
Meets all criteria
For C {6,4,2}
(4 +2) is not greater Than 6 (does not meet criteria)
For D {7,8,1}
(7 +1) is not greater Than 8 ( does not meet criteria)
For the difference to be positive, when both the minuend and the subtrahend are positive, the former must be greater than the latter.
Therefore
minuend = 2 ⇒ subtrahend = 1 ← 1 number
minuend = 3 ⇒ subtrahend = 1,2 ← 2 numbers
minuend = 4 ⇒ subtrahend = 1,2,3 ← 3 numbers
minuend = 5 ⇒ subtrahend = 1,2,3,4 ← 4 numbers
minuend = 6 ⇒ subtrahend = 1,2,3,4,5 ← 5 numbers
1+2+3+4+5=<u>15</u>
