Odd = odd × odd
Prime factor
<span>16*24*60
(4*4)(3*8)(6*10)
(2*2*2*2)(3*2*2*2)(3*2*5*2)
multiple all the odd prime factors together
3*3*5 = 45
</span>
Answer:
X=3
Y=1
Step-by-step explanation:
In solving simultaneous equations, there are three methods, we have the elimination method, substitution method or graphical method. But for the purpose of this question, we would be using Elimination method.
5y-4x =-7 Equation 1
2y+4x=14 Equation 2
Since x has the same coefficient, it's easy to eliminate by adding up the two equations
5y+2y=7y
-4x+(+4x)=0
-7+(+14)=7
We have 7y=7
Divide both sides by 7,
y=7/7
y=1
Substituting for y in equation 2.
2(1)+4x=14
2+4x=14
4x=14-2
4x=12
x=12/4
x= 3
Answer:
36
Step-by-step explanation:
Length * Width so 9*4=36
A function is differentiable if you can find the derivative at every point in its domain. In the case of f(x) = |x+2|, the function wouldn't be considered differentiable unless you specified a certain sub-interval such as (5,9) that doesn't include x = -2. Without clarifying the interval, the entire function overall is not differentiable even if there's only one point at issue here (because again we look at the entire domain). Though to be fair, you could easily say "the function f(x) = |x+2| is differentiable everywhere but x = -2" and would be correct. So it just depends on your wording really.
Answer:
4√6
Step-by-step explanation:
The line marked x meets the base of the isosceles triangle at its midpoint, so dividing the triangle into two congruent right triangles with leg 5 and hypotenuse 11.
The Pythagorean theorem can be used to find x:
5² + x² = 11²
x² = 121 -25 . . . . . . subtract 25 from both sides of the equation
x = √96 . . . . . . . . . take the square root
x = 4√6 . . . . . . . . . simplify the radical
