The distributive property: a(b + c) = ab + ac.
Factors of 38: 1, 2, 19, 38
Factors of 57: 1, 3, 19, 57
GCF(38, 57) = 19
38 + 57 = 19 · 2 + 19 · 3 = 19(2 + 3)
Answer:
All you need to remember is the rules
Step-by-step explanation:
Let us remember
a to the m power x a to the nth power is = a to the m+n power. (add the exponents)
And
a to the m power ÷ a to the nth power is = a to the m-n power. (subtract the exponents) So
14 to the -4 power x 14 to the 7 power= 14 to the -4+7 which is equal to 14 to the 3rd power
Answer:
-4/3
Step-by-step explanation:
m1m2=-1
so 3/4*X= -1
3X=-4
x= -4/3
Given :
Natalie is going mountain biking. She can buy a bike for $250 or she can rent a bike for $30 an hour.
In both cases, she must also rent a helmet for $5 an hour.
To Find :
Which inequality shows the number of hours Natalie must bike for the cost of buying a bike to be less than renting a bike.
Solution :
Let, after t hours total money required is ( if she rent bike ).
T = 30t.
Money required to purchase bike , M = $250.
For cost of buying a bike to be less than renting a bike :
Hence, this is the required solution.
Answer:
Step-by-step explanation:
Convert the equation of a circle in general form shown below into standard form. Find the center and radius of the circle. Group the x 's and y 's together. Consider the x2 and x terms only. Complete the square on these terms. Replace the x2 and x terms with a squared bracket.