Answer:
The radius of circle O is 8.5 Units
Step-by-step explanation:
Solution
The radius of a circle is refereed to as the half of the diameter.
Now,
On how to figure out the length of AB, we apply the Pythagorean's equation or formula which is given below
Thus,
a² + b² = c²
(15)² + (8)² = c²
225 + 64 = c²
√289 = √c²
Then
c = 17
What this shows is that AB is 17 units.
Since we have gotten the diameter, the next step is to divide into half the know the radius value
Therefore,
17 ÷ 2 = 8.5 Units
= 8.5 Units.
Answer:
8
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 1 • -16 = -16
Step-2 : Find two factors of -16 whose sum equals the coefficient of the middle term, which is 6 .
-16 + 1 = -15
-8 + 2 = -6
-4 + 4 = 0
-2 + 8 = 6 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 8
p2 - 2p + 8p - 16
Step-4 : Add up the first 2 terms, pulling out like factors :
p • (p-2)
Add up the last 2 terms, pulling out common factors :
8 • (p-2)
Step-5 : Add up the four terms of step 4 :
(p+8) • (p-2)
Which is the desired factorization
Answer:
I think the answer would be C
Step-by-step explanation:
9514 1404 393
Answer:
- 12 boxes
- 10 pencils, 9 notebooks
Step-by-step explanation:
a) The number of boxes will be the greatest common divisor (GCD) of the numbers 120 and 108. That number is 12.
120 = 12×10
108 = 12×9 . . . . 12 is the greatest common divisor
Matthew can make 12 boxes with equal numbers of the items.
__
b) 120 pencils divided by 12 will be 10 pencils per box.
108 notebooks divided by 12 will be 9 notebooks per box.
_____
<em>Additional comment</em>
It helps to be familiar with multiplication tables up to about 12×12.
The GCD can always be found using Euclid's algorithm. Look at the remainder when the larger number is divided by the smaller. If it is not zero, then replace the larger number with the remainder and repeat. If the remainder is zero, the divisor is the GCD.
Here, we have ...
120/108 = 1 r 12.
108/12 = 9 r 0 ⇒ 12 is the GCD
Answer:
Step-by-step explanation:
When dividing two exponents (of the same bases) you subtract the exponents. When there is an exponent to an exponent, you multiply the to exponents.
