Answer:
Step-by-step explanation:
The given expression for water bottles is
.
The highest common factor of all the terms of this expression is 
.
We now factor to obtain;
Hence the the factorization that represents the number of water bottles and the weight of each bottle is the one in option B.
The correct answer is B
We therefore factor to obtain,
Answer:
625 cm3
Step-by-step explanation:
Formula V1 * P1 = V2 * P2
V1 = 450 cm3
P1 = 125 kPa
P2 = 90 kPa
V2 = ?
V2 = (V1 * P1) / P2
V2 = (450 cm3 * 125 kPa) / 90 kPa = 625 cm3
Answer:
(8x-7)(8x+7)
Step-by-step explanation:
This is a difference of squares polynomial of the form 
. Since 64 and 9 are both perfect squares then take the square root of each so a=8 and b=7.
Factors:(8x-7)(8x+7)
<u>Finding x:</u>
We know that the diagonals of a rhombus bisect its angles
So, since US is a diagonal of the given rhombus:
∠RUS = ∠TUS
10x - 23 = 3x + 19 [replacing the given values of the angles]
7x - 23 = 19 [subtracting 3x from both sides]
7x = 42 [adding 23 on both sides]
x = 6 [dividing both sides by 7]
<u>Finding ∠RUT:</u>
We can see that:
∠RUT = ∠RUS + ∠TUS
<em>Since we are given the values of ∠RUS and ∠TUS:</em>
∠RUT = (10x - 23) + (3x + 19)
∠RUT = 13x - 4
<em>We know that x = 6:</em>
∠RUT = 13(6)- 4
∠RUT = 74°
Step-by-step explanation:
AB=28 !... .......hope this helps..
