15
Explanation:
If y varies inversely as x, the two variables can be represented in an equation in the form
y
=
k
x
where
k
is some constant.
We are given that
y
=
5
when
x
=
6
. We can plug this into the above equation to find what
k
is:
5
=
k
6
30
=
k
Based on this we can create our equation:
y
=
30
x
And then find
x
when
y
=
2
:
2
=
30
x
2
x
=
30
x
=
15
Answer: 2 6/25
First, turn 224% into a decimal, which is 2.24. Turn 2.24 into a fraction. 2 24/100. Simplify to get 2 6/25
11 because you would add the 14 and 2 which would be 9^16 then you would subtract 5 which would make it 9^11
Answer:
<u>Answer</u><u>:</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>2</u><u>x</u><u> </u><u>+</u><u> </u><u>8</u>
Step-by-step explanation:
• General equation of a line:
![\hookrightarrow \: { \rm{y = mx + b}}](https://tex.z-dn.net/?f=%20%5Chookrightarrow%20%5C%3A%20%7B%20%5Crm%7By%20%3D%20mx%20%2B%20b%7D%7D)
- m is slope / gradient
- b is y-intercept.
[ for parallel lines, slopes are the same ]
• m is 2
![{ \rm{y = 2x + b}}](https://tex.z-dn.net/?f=%7B%20%5Crm%7By%20%3D%202x%20%2B%20b%7D%7D%20)
for point (-2, 4)
![{ \rm{4 = (2 \times - 2) + b}} \\ \\ { \rm{4 = - 4 + b}} \\ \\ { \rm{b = 8}}](https://tex.z-dn.net/?f=%7B%20%5Crm%7B4%20%3D%20%282%20%5Ctimes%20%20-%202%29%20%2B%20b%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Crm%7B4%20%3D%20%20-%204%20%2B%20b%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Crm%7Bb%20%3D%208%7D%7D)
• therefore, equation is:
![{ \boxed{ \rm{y = 2x + 8}}}](https://tex.z-dn.net/?f=%7B%20%5Cboxed%7B%20%5Crm%7By%20%3D%202x%20%2B%208%7D%7D%7D)