9k2-12k+4
(k2-6k)+(-6k+4) factor out the 3k from 9k2 0 6k: 3k(k-2) factor out -2 from -6k +4n: -2 (3k-2) factor out common term (3k-2) = (3k-2 ) (3k-2) that equals (3k-2)2
Answer:
(3x - 5 = -x + 3) x = 2
Step-by-step explanation:
3x - 5 = -x + 3
3x = -x + (3 +5)
3x=-x + 8
(3x + x ) = 8
4x = 8
4/8 =2
x = 2
Answer:
Step-by-step explanation:
Statements Reasons
1). ∠CXY ≅ ∠BXY 1). Given
2). ∠CAX ≅ ∠BAX 2). Given
3). AC ≅ AB 3). Given
4). AX ≅ AX 4). Reflexive property
5). ΔAXC ≅ ΔAXB 5). SAS property of congruence
6). CX ≅ BX 6). CPCTC
7). XY ≅ XY 7). Reflexive property
8). ΔYXB ≅ ΔYXC 8). SAS property of congruence
9). ∠XCY ≅ ∠XBY 9). CPCTC
Answer:
5sqrt3
Step-by-step explanation:
Using the pythagorean theorem, we have a^2+4^2=9^2
a^2 + 16 = 81
a^2 = 75.
a = sqrt75.
75 = 25*3. 25 is a perfect square, so sqrt75 = 5sqrt3
Answer:
18 pencils in 3 packs.
Step-by-step explanation:
Assuming that each pack will have the same amount of pencils. It is given that there are 36 pencils in all when one has 6 packs. Find the amount in each pack by dividing (total amount of pencils)/(amount of packs) = Amount of pencils per pack:
36/6 = 6
There are 6 pencils in each pack.
Now, Elsa wants to know how much pencils are in 3 packs. Multiply the amount of packs with the amount of pencils in each pack:
Total amount of pencils = amount of packs (3) x amount of pencils per pack (6)
= 3 x 6
= 18
There are 18 pencils in 3 packs.
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