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umka2103 [35]
2 years ago
15

Write the equation of the line parallel to y=6 that passes through the point (2, -3). Write your answer in slope-intercept form.

Mathematics
1 answer:
lidiya [134]2 years ago
4 0

Answer:

<em><u>Y=-3</u></em>

You see y=-3 does pass through 2,3 and is also parallel to y=6

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What is the distance between (8, -3) and (4, -7)?<br> Choose 1 answer
Mila [183]

Answer:

Option C √32 is correct

Step-by-step explanation:

Here,

x₁ = 8

x₂ = 4

y₁ = (-3)

y₂ = (-7)

Now,

By Using Distance Formula

<em>D = √(x₂ - x₁)² + (y₂ - y₁)²</em>

<em> </em><em> </em><em> </em><em> </em>= √(4 - 8)² + [(-7) - (-3)]²

= √(-4)² + [(-7) + 3]²

= √16 + (-4)²

= √16 + 16

<u>D = √32</u>

Thus, The distance between (8, -3) and (4, -7) is √32

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Answer:

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A box is in the shape of an equilateral triangular prism. if the box is to be covered with paper on its lateral sides, how many
Zarrin [17]

The total surface area of the triangular prism that has a height of h and the side length of a is given below.

\rm a(\dfrac{\sqrt3}{2} \ a + 3h)

<h3>What is a triangular prism?</h3>

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.

A box is in the shape of an equilateral triangular prism.

If the box is to be covered with paper on its lateral sides.

Let a be the side length of the equilateral triangle and h be the height of the prism.

Then the surface area of the triangular prism will be

Surface area = 2 × area of triangle + 3 × area of the rectangle

The area of the triangle will be

\rm Area\ of\ triangle = \dfrac{\sqrt{3}a^2}{4}

The area of the rectangle will be

\rm Area \ of \ rectangle = a \ h

Then the total surface area will be

\rm Surface\ area =  2 \times \dfrac{\sqrt3 a^2 }{4} + 3 ah\\\\\\Surface\ area =  a(\dfrac{\sqrt3}{2} \ a + 3h)

More about the triangular prism link is given below.

brainly.com/question/21308574

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