Answer:
2 * 2 * 5 * 5, or 2^2 * 5^2, or 5^2 * 2^2
Step-by-step explanation:
You can use a factoring tree to find the prime factorization of 100.
+------ 100----------------+
| |
2 +---50---------+
| |
2 +----25----+
| |
5 5
The prime factorization of 100 is 2 * 2 * 5 * 5, or 2^2 * 5^2, or 5^2 * 2^2
Answer:
8 miles
Step-by-step explanation:
6 + 10 + 8 = 24
24/3 = 8
Answer:
-x +7
Step-by-step explanation:
Combine like terms.
Rewrite as 2x + (-3x) + 6 + 1
Combining your "x" terms gives you 2x + (-3x), or 2x - 3x = -1x or -x
Combining your integer terms gives you 6 + 1 = 7.
Recombining them gives you -x + 7.
Answer:
length: 23 m; width: 11 m.
Step-by-step explanation:
The perimeter of a rectangle is twice the sum of its length and width, so that sum is 34 m. Then you can write two equations in length and width:
l + w = 34
l - w = 12
Adding these together gives you ...
2l = 46
l = 23 . . . . . . divide by 2
Then the width is
w = 23 -12 = 11
The length and width are 23 m and 11 m, respectively.
"A parabola is curved instead of linear, in your case it is probably just facing up or down so I won't get into square roots for now.So the quadratic equation that you probably have had to memorize (or will soon) is:
x=(-b[+or-]√(b²-4ac))/2a when you have an equation like ax²+bx+c=0Now where does the curve shape come from? You see that little pesky plus or minus in the equation? That's because there are always 2 values (inputs) that will generate the same output. Example:y=x²(2)²=4(-2)²=...4So if you were to follow this pattern, and plot the points on a graph, you would end up with a curve. You end up with a curve because the slope is constantly increasing.
And this is actually where you start the study of Calculus(!), which is all about measuring slopes (And a bunch of other stuff, but this is the easiest part to explain). Actually, in this case of y=x², the slope at any given point (funnily enough) is equal to 2 times your x-value.
The point is, your line is curved because unlike a linear equation, the slope is changing (at a constant rate)."
