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blsea [12.9K]
3 years ago
10

A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?

Mathematics
2 answers:
IgorC [24]3 years ago
6 0
Direct variation mean x =ky so y = x/k

(2,14) mean y = kx so 14 = k*2 so 14 = 7*2 so 14 = 14 
(4,28) mean y = kx so 28 = k*4 so 28 = 7*4 so 28 = 28

from these result that the 3rd choice is right sure 


mash [69]3 years ago
6 0

y = 7x THIS IS THE ANSEWR

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8 0
4 years ago
Need help with this please.
sp2606 [1]

Answer:

y = -\frac{3}{2} x + 4

Step-by-step explanation:

First, let us find the gradient of AB:

Gradient of AB = \frac{-1-3}{-1-5}

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We also need to know that The <em>product of gradients which are perpendicular to each other is -1</em>. Using this idea, we can find the gradient of the perpendicular bisector:

(Gradient of perpendicular bisector)( \frac{2}{3} ) = -1

Gradient of perpendicular bisector = -\frac{3}{2}

Now, we need to know at which coordinates the perpendicular bisector intersects AB. <em>A perpendicular bisector bisects a line to two equal parts</em>. Hence the <em>coordinates of the intersection point is the midpoint of AB</em>. Thus,

Coordinates of intersection = ( \frac{-1 + 5}{2}, \frac{-1 + 3}{2} )

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Now, we can construct our equation. The equation of a line can be formed using the formula (y - y_{1}) = m(x - x_{1}) where m is the gradient and the line passes through (x_{1} , y_{1} ). Hence by substituting the values, we get:

(y - 1) = -\frac{3}{2} (x - 2)

y - 1 = -\frac{3}{2} x + 3

y = -\frac{3}{2} x + 4<u />

4 0
3 years ago
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cricket20 [7]
First, let's set up the equation:
"29 more than" is just
29+
"t" is
t
"equal to one" is 
=1
put it all together to get
29+t=1
subtract 29 from both sides to get your answer:
t=-28
6 0
3 years ago
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Alenkasestr [34]

Answer:

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