Hello there!
(-1)^3 * (-1)^2
Use the distributive property
= (-1)(-1)(-1)* (-1)(-1)
= (-1)^5
= -1
I hope this helps!
Answer:
the two triangles are similar
reasons are
(a) both are right angled triangles
(b) both are scalene triangles
Answer: See Explanation
Step-by-step explanation:
Take the amount of money and divide by the ounces for how much it costs per ounce
1.35 / 12 = 0.1125 per ounce
2.10 / 20 = 0.105 per ounce
3.60 / 32 = 0.1125 per ounce
The Big Swig would be the best deal because the cost per ounce is the lowest, getting you the cheaper price for a good size. I believe I did this right, hope I could help.
Answer:
<u><em>The Father is currently 47 and the Son is 7</em></u>
Step-by-step explanation:
Let F and S be the present ages of Father and Son, respectively.
We are told that <u>(F-2) = 9(S-2)</u> [2 years ago, father age was nine times the son age]
We also learn that <u>(F+3) = 5(S+3)</u> [3 years later it will be 5 times only]
Take the first expression and isolate one of the variables (S or F). I'll isolate F:
(F-2) = 9(S-2)
F = 9S - 16
Now use this in the second expression:
(F+3) = 5(S+3)
((9S-16)+3) = 5(S+3)
9S-13 = 5S+15
4S = 28
S = 7
Since F = 9S-16,
F = 9*(7)-16
F = 47
<u><em>Father is 47 and Son is 7</em></u>
CHECK:
Was the father 9 times the age of his son 2 years ago?
Father would have been 45 and son 5. Yes, 9*5 = 45
In 3 years will he be 5 times older than his son? Yes, Father would be 50 and son would be 10. 5*(10) = 50