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pishuonlain [190]
3 years ago
13

What’s the slope for this graphed? A.5 B.1/3 C.2 D.3

Mathematics
1 answer:
larisa [96]3 years ago
6 0
No it’s D because it is rise over run and you rise 3 and run 1. 3/1 is simplified to 3.
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The equation 2y = 8x represents a proportional relationship. What is the constant of proportionality?
Sphinxa [80]

Answer:

C) 4

Step-by-step explanation:

Given equation:

2y=8x

The above equation represents proportional relationship.

To find the constant of proportionality.

Solution:

<em>The equation representing proportional relationship is given by:</em>

<em>y=kx</em>

<em>where k represents constant of proportionality.</em>

So, in order to find the value of k for the given proportionality relationship, we will solve for y

We have:

2y=8x

Solving for y

Dividing both sides by 2.

\frac{2y}{2}=\frac{8x}{2}

y=4x

∴ k=4

Thus, the constant of proportionality = 4.

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4 years ago
Which of the following diagrams includes a centroid? In order: A, B, C, D
Ivanshal [37]

The answer is A.......

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Bogdan [553]

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Step-by-step explanation:

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Find the area of the triangle with vertices: q(3,-4,-5), r(4,-1,-4), s(3,-5,-6).
maw [93]

Answer:

  (√6)/2 square units

Step-by-step explanation:

The area of a triangle is half the magnitude of the cross product of the vectors representing adjacent sides.

  QR = (4-3, -1-(-4), -4-(-5)) = (1, 3, 1)

  QS = (3 -3, -5-(-4), -6-(-5)) = (0, -1, -1)

The cross product is the determinant ...

\text{det}\left|\begin{array}{ccc}i&j&k\\1&3&1\\0&-1&-1\end{array}\right|=-2i+j-k

The magnitude of this is ...

  |QR × QS| = √((-2)² +1² +(-1)²) = √6

The area of the triangle is half this value:

  Area = (1/2)√6 . . . . square units

3 0
3 years ago
Mikaela travels 15 blocks on her skateboard in 5 minutes. At this speed, how many blocks can she travel on her skateboard in 12
Alchen [17]

Answer:

36 blocks.

Step-by-step explanation:

We have been given that Mikaela travels 15 blocks on her skateboard in 5 minutes. We are asked to find the number of blocks that she can travel on her skateboard in 12 minutes.

We will use proportions to solve our given problem.

\frac{\text{Blocks traveled}}{\text{Time taken}}=\frac{15}{5}

\frac{\text{Blocks traveled}}{12}=\frac{15}{5}

\frac{\text{Blocks traveled}}{12}\times12=\frac{15}{5}\times12

\text{Blocks traveled}=3\times12

\text{Blocks traveled}=36

Therefore, Mikaela will travel 36 blocks on her skateboard in 12 minutes.

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3 years ago
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