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3 years ago

8

What is the definition of line segment?

1 answer:

Snezhnost [94]3 years ago

6 0

In geometry, a line segment<span> is a part of a </span>line<span> that is bounded by two distinct end points, and contains every point on the </span>line<span> between its endpoints. A closed </span>line segment<span> includes both endpoints, while an open </span>line segment<span> excludes both endpoints; a half-open </span>line segment<span> includes exactly one of the endpoints.</span>

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Given: ABCD is a rhombus, <br> Perimeter = 20,<br> AC:BD = 4:3 Find:<br> Area of ABCD.

REY [17]

4a=20⇒a=5

we know diagonals are perpendicular. if u look at one of the right triangles, you can see that for hypotenuse to be 5, the legs have to be 4 and 3 to satisfy the given ratio 4:3.

so, diagonals are 8 and 6 as we know that diagonals bisect each other.

Area=8*6/2=24

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Zinaida [17]

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In the game of "odd man out" each player tosses a fair coin. if all the coins turn up the same except for one, the player tossin

Temka [501]

The options are H,H,T or T,T,H

HHT: 1/2 x 1/2 x 1/2 = 1/8

TTH: 1/2 x 1/2 x 1/2 = 1/8

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3 years ago

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melomori [17]

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3 years ago

To factor the quadratic expression x^2−8x−10 by completing the square, what value would be added? A. 64 B. 8 C. 16 D.-16

Elan Coil [88]

Answer:

C

Step-by-step explanation:

When completing the square, we essentially want to create a perfect square trinomial by adding a constant.

If we have the following expression:

$x^2+bx$

And we want to complete the square, we will need to divide the b-coefficient by half and then square it.

Thus, the added term should be:

$(b/2)^2$

In the given equation, we have:

$(x^2-8x)-10$

The b term here is 8. Therefore:

$(8/2)^2\\=(4)^2\\=16$

The value we would add would be 16.

The answer is C.

Further notes:

To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:

$(x^2-8x)-10\\=(x^2-8x+16)-10-16\\$

The expression inside the parentheses is now a perfect square trinomial. Factor it:

$=((x)^2-2(4)(x)+(4)^2)-26\\=(x-4)^2-26$

And we are done!

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3 years ago

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