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3 years ago

Please answer this question thanks

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

6 0

${x}^{2} - x - \frac{3}{4} = 0 \\ 4{x}^{2} - 4x - 3 = 0 \\ 4 {x}^{2} - (6x - 2x) - 3 = 0 \\ (4 {x}^{2} - 6x) + (2x - 3) = 0 \\ 2x(2x - 3) + 1(2x - 3) = 0 \\ (2x + 1)(2x - 3) = 0 \\ \\ x = \frac{ - 1}{2} \: and \: \frac{3}{2}$

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adoni [48]

1. -11 2.-3

Make sure to simplify the equation..

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2 years ago

A pyramid has a square base with sides of length s. The height of the pyramid is equal to - of the length of a side on the base.

Vera_Pavlovna [14]

<h3><u>Question:</u></h3>

A pyramid has a square base with sides of length s. The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formula represents the volume of the pyramid?

<h3><u>Answer:</u></h3>

<em><u>The formula represents the volume of the pyramid is:</u></em>

$V=\frac{1}{6}s^3$

<h3><u>Solution:</u></h3>

<em><u>The volume of square pyramid is given by formula:</u></em>

$V = \frac{1}{3} a^2h$

Where, "h" is the height of pyramid

"a" is the length of side of base

Here given that, pyramid has a square base with sides of length s

Therefore,

a = s

The height of the pyramid is equal to 1/2 of the length of a side on the base

$h = \frac{1}{2} \times s\\\\h = \frac{s}{2}$

<em><u>Thus the volume of pyramid becomes:</u></em>

$V = \frac{1}{3} \times s^2 \times \frac{s}{2}\\\\V = \frac{s^3}{6}$

$\boxed{V=\frac{1}{6}s^3}$

Thus the formula represents the volume of the pyramid is $\frac{s^3}{6}$

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3 years ago

Reflect triangle stu across line st which of these is a valid reason why the image u will coincide with j

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Answer:

4. None of the above

Step-by-step explanation:

Reflection is a type of transformation that can be used to change the orientation of a given figure or shape without changing it size and shape.

When triangle STU is reflected across ST, the image U coincides with J because the two are on the opposite side and at the same distance from ST. Therefore, J is like the image of U.

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