Answer:
![y = 7.5](https://tex.z-dn.net/?f=y%20%3D%207.5)
Step-by-step explanation:
Given
Direct variation implies that:
![y = kx](https://tex.z-dn.net/?f=y%20%3D%20kx)
Where k is the constant of variation.
![x=4; y=3](https://tex.z-dn.net/?f=x%3D4%3B%20y%3D3)
Required
Find y when ![x = 10](https://tex.z-dn.net/?f=x%20%3D%2010)
![y = kx](https://tex.z-dn.net/?f=y%20%3D%20kx)
Make k the subject
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
For: ![x=4; y=3](https://tex.z-dn.net/?f=x%3D4%3B%20y%3D3)
![k = \frac{3}{4}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
For: ![x = 10](https://tex.z-dn.net/?f=x%20%3D%2010)
becomes
![k = \frac{y}{10}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7B10%7D)
Substitute ![k = \frac{3}{4}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
![\frac{3}{4} = \frac{y}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%3D%20%5Cfrac%7By%7D%7B10%7D)
Make y the subject
![y = \frac{3}{4} * 10](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20%2A%2010)
![y = \frac{3* 10}{4}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%2A%2010%7D%7B4%7D)
![y = \frac{30}{4}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B30%7D%7B4%7D)
![y = 7.5](https://tex.z-dn.net/?f=y%20%3D%207.5)
Answer:
<h2>2x + 2 = 36</h2>
Step-by-step explanation:
Two consecutive odd intergers: <em>x, x + 2</em>.
The sum: <em>36</em>
<em></em>
The equation:
<em>x + (x + 2) = 36</em>
<em>x + x + 2 = 36</em>
<u><em>2x + 2 = 36 </em></u><em> </em><em>subtract 2 from both sides</em>
<em>2x = 34</em><em> divide both sides by 2</em>
<em>x = 17</em>
<em>x + 2 = 17 + 2 = 19</em>
The answer is c because you can use your eyes
AC is a line with length of 7 units, from -7 to 0
BE is a line with length of 6 units, from 0 to 6
Two shapes are congruent if their length are the same, hence AC and BE is not congruent
Answer:
8 by 8
Step-by-step explanation:
well the GCF of all those are 8 and then adding 16+24+32=64
8 goes into 64 8 times so it would be 8 by 8