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nadezda [96]
3 years ago
9

Determine whether y varies directly with x. If so, find the constant of variation k. 7y = –x

Mathematics
2 answers:
saul85 [17]3 years ago
8 0
Answer: B



Explanation: comment above me LOL
fomenos3 years ago
3 0

Answer:

b

Step-by-step explanation:

The equation of quantities in direct variation is

y = kx ← k is the constant of variation

Given

7y = - x ( divide both sides by 7 )

y = - \frac{1}{7} x ← in direct variation form

with k = - \frac{1}{7}

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Which equation represents the line shown on the graph in the picture
natima [27]

Answer:

either the second one or the fourth one. good luck

Step-by-step explanation:

5 0
3 years ago
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The table shows the distance Allison drove on one day of her vacation. Is the relationship between the distance and the time a p
Anuta_ua [19.1K]

Answer:

we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

In our case, the table shows the distance Allison drove on one day of her vacation.

Time (h)              1         2        3          4        5

Distance (mi)       55    100     165     280    250

using the equation

k = y/x

susbtitute y = 55, x = 1

k = 55/1 = 55

substitute y = 100, x = 2

k = y/x

k = 100 / 2 = 50

substitute y = 165, x = 3

k = y/x

k = 165 / 3 = 55

substitute y = 280, x = 4

k = y/x

k = 280 / 4 = 70

substitute y = 250, x = 5

k = y/x

k = 250 / 5 = 50

It is clear that the value of 'k' does not remain constant.

Therefore, we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

6 0
3 years ago
Select all expressions that are equivalent to -4(x + 2) – 2x + 4.
Nookie1986 [14]

Answer:

A,D,E

Step-by-step explanation:

-4(x + 2) – 2x + 4

=-4x-8-2x+4    D

=4x-2x-8+4     E

=-6x-4             A

Hope it helps!

3 0
3 years ago
Write the equation of the circle graphed below
Norma-Jean [14]

Answer:

The equation of the circle is

(x + 2)² + (y + 2)² = 9

Centered at (-2, -2), with radius of 3 units.

Step-by-step explanation:

The general equation of a circle is given as

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle, and r is the radius.

Looking at the graph, the center is the red dot. It corresponds to -2 on the y-axis, and -2 on the x-axis. So, the center (h, k) is (-2, -2).

The radius is the distance from the center of the circle to the edge of the circle. The red dot is the edge of the circle, there are 3 lines that represent 3 units, so we have a radius of 3 units.

Using these in the general equation, we have

[x - (-2)]² + [y - (-2)]² = 3²

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And this is the equation.

6 0
3 years ago
Triangle ABC and DEF are similar what is the length of segment DF?
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Proportionate to whatever length the corresponding segment for the similar triangle.

5 0
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