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LiRa [457]
3 years ago
8

Find the constant of variation k for the direct variation ​

Mathematics
1 answer:
Alla [95]3 years ago
7 0

Answer:

The constant of variation is k = -2 ⇒ (B)

Step-by-step explanation:

The equation of the direct variation is y = k x, where

  • k is the constant of variation
  • The constant of variation k = \frac{y}{x}

The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)

We can use one of the points <em>[except point (0, 0)]</em> to find the value of k

∵ (-1, 2) is a given point

∴ x = -1 and y = 2

∵ k = \frac{y}{x}

→ Substitute the values of x and y in the relation above

∴ k = \frac{2}{-1}

∴ k = -2

The constant of variation is k = -2

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Answer:

A.

Step-by-step explanation:

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if discriminant = 0 there is only one solution

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for your given problems

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8 0
2 years ago
For the graph shown, the slope is changed to 1/5, but the y-intercept remains the same. What is the resulting equation for the n
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Answer: C. y=1/5x+1

Step-by-step explanation:

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3 years ago
What is an equation of the line that passing through the points (-2, -5) and (4, 7) ?
monitta

Answer:

y=2x-1

Step-by-step explanation:

Use the slope-intercept formula: y=mx+b where m is slope and b the y-intercept.

(-2,-5)(4,7)

Use the slope formula for when you have two points:

\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

\frac{7-(-5)}{4-(-2)}

Simplify parentheses (negative+negative=positive)

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2 is the slope:

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Now use one of the points to find the y-intercept by substituting the x and y values into the equation. Solve for b:

(4,7)

y=2x+b\\7=2(4)+b

7=8+b\\7-8=8-8+b\\7-8=b\\-1=b\\b=-1

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Done.

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3 years ago
In her metalwork class, Anja cut a square of
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Given:

Anju cut square of tin, of edge 3.7 cm, from a larger square of edge 6.3 cm.

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Area of the smaller square is:

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Area of the larger square is:

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A_2=39.69

The area of the remaining tin is:

A=A_2-A_1

A=39.69-13.69

A=26

Therefore, the area of the remaining tin is 26 sq. cm.

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Answer:

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