Answer:
The first prime factor we test is 2:
52 / 2 = 26
26 / 2 = 13
13 is a prime number so the prime factorization is
2 * 2 * 13 = 52
Step-by-step explanation:
Answer:
The slope is 3
Step-by-step explanation:
Parallel lines always have the same slopes. This equation is in slope-intercept form, y=mx+b, m being the slope. Our m, or the slope, is 3, and because the line is parallel, it also has a slope of 3.
Answer:
(8.75, 2.5)
Step-by-step explanation:
When they ask what point (n,a) corresponds to this, they want a coordinate with an x-value of 8.75.
If we look on the graph, we can see that the a value is around 2.5 quarts of strawberries, so for our point, we will write (8.75, 2.5)
A rational number can be turned into a fraction
-9...rational number
0..rational number
8..rational number
4.19...rational number
sqrt 7....not rational
sqrt 4...rational
4 1/2...rational
-4/5...rational
1.1616616661 (if this is never ending)....not rational
Answer:
x=√2, x=-√2, x= 3 and x=-3
Step-by-step explanation:
We need to solve the equation x^4 - 11x^2+18=0
We can replace x^4 = u^2 and x^2 = u
So, the equation will become
u^2 -11u+18 = 0
Factorizing the above equation:
u^2 -9u-2u+18 =0
u(u-9)-2(u-9)=0
(u-2)(u-9)=0
u=2, u=9
As, u = x^2, Putting back the value:
x^2 =2 , x^2 =9
taking square roots:
√x^2 =√2 ,√x^2=√9
x=±√2 , x = ±3
so, x=√2, x=-√2, x= 3 and x=-3
