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3 years ago

What value of c makes x2+6x+c a perfect square trimonial

Mathematics

1 answer:

DaniilM [7]3 years ago

8 0

Answer:

Step-by-step explanation:

To solve this just take b (in this case 6x) divide it by 2 and then square it

which means that c=9

this will factor to (x+3)²

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What is the value of 8 in 293,581?

Free_Kalibri [48]

Answer:10th place

Step-by-step explanation:

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2 years ago

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Prove that if a and b are positive integers whose sum is a prime p, their greatest common divisor is 1.

Tasya [4]

Proof by contadiction.

Let assume there exist such positive integers $a$ and $b$ whose sum is a prime number $p$ , that their greatest common divisor is greater than 1.

$a,b\in\mathbb{Z^+}\\d=\text{gcd}(a,b)>1\\\\a=de\\b=df\\e,f\in\mathbb{Z^+}\\\\a+b=p\\de+df=p\\d(e+f)=p\\$

Since $p$ is a prime number and $d>1$ , then $d=p \wedge e+f=1$ , but we assumed earlier that $e,f\in\mathbb{Z^+}$ , and there are no two positive integers that sum up to 1.

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2 years ago

A 16 ft monument consists of a rectangular prism and a square pyramid, as shown below. If the exposed surfaces of the monument a

icang [17]

Answer and Step-by-step explanation:

The actual answer is 348.

4 rectangles with area 60 each, which, when added together, equals 240.

1 square with area 36.

Each triangle face is 18 each, so 72.

Add those together and the answer is 348 $ft^2$ :).

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2 years ago

Solve: -(1/4)m + 5 = 16

liq [111]

Answer:

m=-44

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2 years ago

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kvv77 [185]

Answer:

Step-by-step explanation:

Plugging in all the values into the equation, only A holds a true statement.

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