Length of the rectangle is 14 ft and width is 6 ft
Step-by-step explanation:
- Step 1: Let the width of the rectangle be x, then length = 8 + x. Find dimensions if area = 84 ft²
⇒ Area of the rectangle = length × width
⇒ 84 = x(8 + x) = 8x + x²
⇒ x² + 8x - 84 = 0
⇒ x² + 14x - 6x - 84 = 0 (Using product sum rule to factorize)
⇒ x(x + 14) - 6(x + 14) = 0
⇒ (x + 14)(x - 6) = 0
⇒ x = -14, +6 (negative value is neglected)
∴ x = 6 and x + 8 = 14
Answer:
D. 7.6
Step-by-step explanation:
y² = 7² + 3²
y² = 49 + 9
y² = 58
y = (58)^½
y = Rationalize(7.61577310586) ~ 7.6
33 is composite because it has more than two factors.
Step-by-step explanation:
You basically have to divide your number from a prime factor until your result is 1
For example
12
you divide it from the lowest prime number possible, for in this case, 2
12/2 = 6 and you can set aside 2 for now
You do the same thing and you divide it by 2
6/2 = 3 and set aside 2
Now 3 isn't divisible by 2 so you'll find another number, for in this case 3
3/3 = 1
your set side numbers are now 2,2,3
so you'll find out 12 = 2x2x3 as a product of it's prime factors
how ever you cant divide it by 4 or 6 since they aren't prime factors as they are divisible by other numbers
Well, let's say we start with 10 granola bars.
we take away 3 of them, so there would end up being 7 left.
I assume your teacher is asking for you to write a numerical expression. In this case that would be 10-3=7.
