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Lesechka [4]
3 years ago
9

Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square.

Mathematics
1 answer:
musickatia [10]3 years ago
3 0

Answer:

d. c = 100; (x – 10)²

Step-by-step explanation:

Note that (x+a)²=x²+2ax+a².

In our case, 2a=-20, so 'a' must be -10.

Since c=a², and a=-10, c=(-10²)=100.

Since a=-10, the perfect square is (x – 10)²

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3 years ago
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X+y=5<br> x×y=6<br> Solve simultaneously with steps
igor_vitrenko [27]

Answer:

(3, 2), (2, 3)

Step-by-step explanation:

x + y = 5

xy = 6

Solve the first equation for x.

x = 5 - y

Substitute 5 - y for x in the second equation.

xy = 6

(5 - y)y = 6

5y - y² = 6

y² - 5y + 6 = 0

Factor.

(y - 2)(y - 3) = 0

y - 2 = 0  or y - 3 = 0

y = 2  or y = 3

Now substitute 2 for y in the first equation and solve for x.

x + y = 5

x + 2 = 5

x = 3

One solution is x = 3; y = 2, or (3, 2).

Now substitute 3 for y in the first equation and solve for x.

x + y = 5

x + 3 = 5

x = 2

Another solution is x = 2; y = 3, or (3, 2).

Answer: (3, 2), (2, 3)

7 0
2 years ago
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zepelin [54]

Answer:

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Step-by-step explanation:

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Please help I’m struggling
gulaghasi [49]

Answer: B, x=20; angle measure is 30°.

Step-by-step explanation:

Opposite angles are always the same.

You can see that 30° and 3x are opposite angles therefore 3x=30°.

In algebra, when a letter and a number are next to each other, it means times.

So, 3x=30° means 3 times something equals 30.

And we know that 3×10=30 so, x=10.

Hope this helps :)

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3 years ago
The amounts of 8 charitable contributions are $100, $80, $250, $100, $500, $1000, $100, and $150.
cluponka [151]
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