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2 years ago

Which statement is true about the prime polynomial 2x^2+3x+3?

Mathematics

1 answer:

Bezzdna [24]2 years ago

3 0

Answer: It cannot be modeled with a rectangle.

Step-by-step explanation: The given expression 2x^2 + 3x +3 cannot be factored.

That means that it cannot be modeled with a rectangle.

So your answer is, It cannot be modeled with a rectangle.

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Suppose a parabola has vertex (6,5) and also passes through the point (7,7). Write the equation of the parabola in vertex form.

jek_recluse [69]

Answer:

Choice B: $y = 2\, (x - 6)^{2} + 5$ .

Step-by-step explanation:

For a parabola with vertex $(h,\, k)$ , the vertex form equation of that parabola in would be:

$\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}$ .

In this question, the vertex is $(6,\, 5)$ , such that $h = 6$ and $k = 5$ . There would exist a constant $a$ such that the equation of this parabola would be:

$y = a\, (x - 6)^{2} + 5$ .

The next step is to find the value of the constant $a$ .

Given that this parabola includes the point $(7,\, 7)$ , $x = 7$ and $y = 7$ would need to satisfy the equation of this parabola, $y = a\, (x - 6)^{2} + 5$ .

Substitute these two values into the equation for this parabola:

$7 = (7 - 6)^{2}\, a + 5$ .

Solve this equation for $a$ :

$7 = a + 5$ .

$a = 2$ .

Hence, the equation of this parabola would be:

$y = 2\, (x - 6)^{2} + 5$ .

4 0

2 years ago

The surface of a circular plate has an area of 64\piπ square cm. What is the circumference of the plate?

cluponka [151]

Ok I will let you know tomorrow afternoon when I get to the school

7 0

1 year ago

Using the Pythagorean theorem, find the length of c if a = 14 * the square root of 3 and b = 34

ANEK [815]

If c is the hypotenuse, we have

$c=\sqrt{a^2+b^2}=\sqrt{(14\sqrt{3})^2+34^2}=\sqrt{588+1156}=\sqrt{1744}$

If instead b is the hypothenuse, you have

$c=\sqrt{b^2-a^2}=\sqrt{1156-588}=\sqrt{568}$

5 0

3 years ago

What is the answer to this question. Please I need it asap

ipn [44]

3.14x $100 ^{2}$ x250x.5= 3,925,000
3,925,000 divided by 1000= 3925 litres

I hope this helps

5 0

3 years ago

If i can get 6 poland spring water 3-liter for $6. How much would it be if i get 3 poland water?

Blababa [14]

Answer:

if we wanted to find how much 1 bottle would cost we would do 6/6=1 and from that we now know that 1 bottle of water costs $1 so if we times that by 3 to find out how much 3 bottles will cost we get $3.

6 0

2 years ago