Answer:
11
Step-by-step explanation:
This is a difference of squares and therefore can be written as (76-1)(76+1)=(75)(77).
So lets look at the factors....
75=3(25)=3(5)(5)
77=7(11)
The biggest prime factor is therefore 11.
Identities used:
Difference of squares a^2-b^2=(a-b)(a+b)
3/2
<em>Step One:</em> 1 3/8, transform the number into a improper fraction:
- To have a mixed number in to a improper fraction, you need to use addition and multiplication. For 1 3/8, We first multiply the denominator (8, also know to be the bottom number of the fraction) to the whole number (1). 8x1= 8
- NOTE: The original denominator (8) will be use for are improper, again playing as the denominator, we only multiply the denominator for the numerator (which is the top number of a fraction).
- After multiplying, we'll add are product with the numerator (3) for the process. 8+3= 12
- Now we have both numerator and denominator for 1 3/8, we can create the improper fraction. 12 as the numerator and 8 as the denominator. 12/8
- We still need to simplify the number. To that, we need the biggest whole number, or rather I call it the lowest number, that can be divide both in 12 and 8.
- 4 can be divide by both number so: 12/4= 3 and 8/4=2
- Now 3 is are simplify numerator and 2 is are simplify denominator.
Step-by-step explanation:
angles a,f,g form a triangle
sum of angles in ∆ = 33 + 112+ a = 180
145 + a = 180
a = 35°
If she took $20 out of her savings account, given the information, she could easily have no money remaining now. Given this, we'll assume the current value of her account is the minimum it can be. Now you just need to find how many times her withdrawal can factor into the original amount, $250. Therefore, t=250/20= 12.5. Since it's asking for a number of weeks, the answer can't be a decimal, so your final answer is 12 weeks.
For the equation:
-1=5 x^2 - 2 x
5 x^2 - 2 x + 1 = 0, then we substitute: a=5, b=-2, c =1
to discriminant formula: D= b^2 - 4 a c = (-2)^2 - 4 * 5 * 1 = 4 - 20 = - 16
Answer:
The discriminant is equal to -16 which means the equation has no real number solutions.