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3 years ago

What value in place of the question mark makes the polynomial below a perfect square trinomial? x²+22x+?

Mathematics

1 answer:

strojnjashka [21]3 years ago

3 0

Answer:

B. 121

Step-by-step explanation:

Complete the square.

Take half of the middle term, 22, and square it.

So 11^2 = 121.

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N76 [4]

In the given term $-8x^3$ the degree is 3

Step-by-step explanation:

We need to find the degree of the term $-8x^3$

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3 years ago

2. ¿Cuál material crees que es el más denso? a) Plomo. b) Plástico. c) Acero. d) Madera.

Ann [662]

Answer:

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3 years ago

Which equation has no solution?

Blababa [14]

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3 years ago

The perimeter of a geometric figure is the sum of the lengths of its sides. If the perimeter of the pentagon to the right (five

adell [148]

Answer:

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3 years ago

Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl

Kazeer [188]

Answer: 10 ft

Explanation

As two right triangles (a triangle with a 90º angle) are formed, to know the distance between AB we have to calculate BC, AC and subtract.

0. Calculating BC

We have a 30º angle and an adjacent side 5√3ft (as the hypotenuse is the side opposite to the 90º angle). Thus, using the tangent function where:

$\tan\theta=\frac{opposite}{adjacent}$

we can find the opposite side, which is BC. Replacing the values and simplifying we get:

$\tan(30\degree)=\frac{BC}{5\sqrt{3}}$ $BC=5\sqrt{3}\tan(30\degree)$ $BC=5ft$

Thus, the segment BC measures 5ft.

2. Calculating segment AC.

In this case, our hypotenuse changes. However, we are still looking for the opposite side. Using the tangent function as before we get:

$AC=5\sqrt{3}\tan(60\degree)$ $AC=15$

3. Calculating the distance between A and B

$AC-BC=15-5=10ft$

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1 year ago