Answer:
23 is the possible minimal number of breaks required to separate all the squares.
Step-by-step explanation:
The crunchy granola bar is six by 4 squares.
Gives m=6 and n=4
It means there is m x n= 6 x 4=24 pieces in the crunchy granola bar.
Break the bar several times in such a way that all squares become separate. It means breaking the bar into single pieces. Which says single piece =k
To get 24 separate pieces of a crunchy granola bar. We use the formula:
= (m x n) – k
= (6 x 4) – 1
= 24 – 1
= 23 is the possible minimal number of breaks required to separate all the squares.
The function is continuous for all real numbers:
f ( x ) = ( x² - 4 ) / ( x + 2 ) =
=
= x - 2
f ( -2 ) = - 2 - 2 =
- 4
Answer:
D.
Step-by-step explanation:
Find the angles in both isosceles triangles.
Let's start with RXWGC first, they mentioned R was 96°, an isosceles triangle also is an triangle which two of the angles in the triangle are the same and one is different.
180 - 96 = 84° (The degree of two other angles)
84 ÷ 2 = 42° (The degree of each angle of the two same angles which is W and C)
After that, find the angles of the other isosceles triangle which is ELWG.
As mentioned that E is 40°, do the same as what was done in RXWGC.
180 - 40 = 140° (The degree of two other angles)
140 ÷ 2 = 70° - (The degree of each angle of the two same angles which is W and C)
Since you have found the degree for X and G...
180 - 42 - 70 = 68° (Degree of X in the small isosceles triangle)
Answer:
Step-by-step explanation:
So in this example we'll be using the difference of squares which essentially states that: or another way to think of it would be: . So in this example you'll notice both terms are perfect squares. in fact x^n is a perfect square as long as n is even. This is because if it's even it can be split into two groups evenly for example, in this case we have x^8. so the square root is x^4 because you can split this up into (x * x * x * x) * (x * x * x * x) = x^8. Two groups with equal value multiplying to get x^8, that's what the square root is. So using these we can rewrite the equation as:
Now in this case you'll notice the degree is still even (it's 4) and the 4 is also a perfect square, and it's a difference of squares in one of the factors, so it can further be rewritten:
So completely factored form is:
I'm assuming that's considered completely factored but you can technically factor it further. While the identity difference of squares technically only applies to difference of squares, it can also be used on the sum of squares, but you need to use imaginary numbers. Because . and in this case a=x^2 and b=-4. So rewriting it as the difference of squares becomes: just something that might be useful in some cases.