Answer:
9t^3 +t^2
Step-by-step explanation:
The perimeter of the figure is the sum of the lengths of the sides. The side lengths are represented by the polynomials shown, so the perimeter (P) is their sum:
P = (4t^3 -5) + (4t^3 -5) + (t^2 +9) + (t^3 -t^2 -11) + (t^2 +12)
Rearranging to group like terms:
P = (4t^3 +4t^3 +t^3) + (t^2 -t^2 +t^2) + (-5 -5 +9 -11 +12)
P = 9t^3 +t^2
The perimeter of the figure is represented by the polynomial 9t^3 +t^2.
Answer:
<em>The temperature in Miami is 9/5 times the temperature in San Diego.</em>
Step-by-step explanation:
<u>Ratios</u>
To compare the temperature in Miami (45) with the temperature in San Diego (25), we use the division or ratio between both numbers:
Simplify the fraction dividing by 5:
Since the relation between them is 9/5, it means the temperature in Miami is 9/5 times the temperature in San Diego.
Answer:
42
Step-by-step explanation:
Use LCM of 6 and 7 to find a number that is the same:
6 12 18 24 30 36 42
7 14 21 28 35 42
Since 42 shows up in both, the 42th voter gets a button and sticker.
Hope this helped.
quadratic formula:
x = <u>-b ± √(b² - 4ac)</u>
2a
7x² - x = 7
subtract 7 from both sides:
7x² - x - 7 = 0
plug values into the quadratic formula:
x = <u>-(-1) ± √((-1)²- 4(7)(-7))</u>
2(7)
simplify:
x = <u>1 ± √(197)</u>
14
