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strojnjashka [21]
3 years ago
12

What is the value of c such that x2 + 10x + c is a perfect square trinomial?

Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0
C = (10/2)^2 = 25 to make this the square (x +5)^2.
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In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-sevent
Otrada [13]

Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

3 0
2 years ago
Anna buys a sweater for $25.60, and it is on sale for 35% off. What is the amount of the discount?
inysia [295]

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4 0
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Answer:

4/16

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You are dealt one card from a standard 52-card deck find the probability of being dealt an ace or an 8
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there are 4 Aces and 4 8's for a total of 8 cards

52 cards in a deck

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Which graph shows a positive correlation?
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I think it’s 4rd graph because it’s increasing constantly
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