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djyliett [7]
3 years ago
9

Is y= -1/3x a direct variation?

Mathematics
2 answers:
Paladinen [302]3 years ago
7 0

Answer:

no

Step-by-step explanation:

finlep [7]3 years ago
5 0

Answer:

Yes

Step-by-step explanation:

It is a direct variation of the X,Y,Z family. This is due to the 3rd party uneven number.

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What is the missing reason in the proof?
Nookie1986 [14]
A) corresponding angle theorem
3 0
3 years ago
The green triangle is a dilation of the red triangle with a scale factor of s=1/3 and the center of dilation is at the point (4,
klasskru [66]

Given:

The scale factor is s=\dfrac{1}{3} and the center of dilation is at the point (4,2).

Red is original figure and green is dilated figure.

To find:

The coordinates of point C' and point A.

Solution:

Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

(x,y)\to (k(x-a)+a,k(y-b)+b)

According to the given information, the scale factor is \dfrac{1}{3} and the center of dilation is at (4,2).

(x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)            ...(i)

Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using (i), we get

C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)

C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)

C(-2,11)\to C'(-2+4,3+2)

C(-2,11)\to C'(2,5)

Therefore, the coordinates of Point C' are C'(2,5).

We assumed that point A is A(m,n).

Using (i), we get

A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)

From the given figure it is clear that the image of point A is (8,4).

A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)

On comparing both sides, we get

\dfrac{1}{3}(m-4)+4=8

\dfrac{1}{3}(m-4)=8-4

(m-4)=3(4)

m=12+4

m=16

And,

\dfrac{1}{3}(n-2)+2=4

\dfrac{1}{3}(n-2)=4-2

(n-2)=3(2)

n=6+2

n=8

Therefore, the coordinates of point A are (16,8).

5 0
3 years ago
Solve r = 4/3(p-q) for p.
alekssr [168]
R =4/3 (p-q)
3 x r = 4 (p-q)
(3 x r)/4 = p - q

(3 x r)/4 - q = p
4 0
3 years ago
Solve the system of equations.<br> 7x+10y=36<br> y=2x+9<br><br> x = ______<br><br> y = ______
wel

Step-by-step explanation:

Substitute the y in the 1st equation with the 2nd equation.

7x + 10(2x + 9) = 36

7x + 20x + 90 = 36

27x + 90 = 36

3x + 10 = 4

3x = -6

x = -2

So now we can find y.

y = 2x + 9 = 2(-2) + 9 = (-4) + 9 = 5.

So x = -2, y = 5.

6 0
3 years ago
Read 2 more answers
Plz help do not spam! ASAP easy peasy
Gelneren [198K]
I believe the answer is D

if you fold it all together using the dotted line, it looks that it will all fit together and look like the above shape

hope this helps
8 0
3 years ago
Read 2 more answers
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