Answer:
y = 1/2x + 1
In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.
-2 ⇒ 1/2
Next, we need to substitute the information given into the point-slope formula.
The point-slope formula is:
y - y₁ = m(x - x₁)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1
Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.
To figure this out, replace the variables with their given values.
p(a/b) = p(.4/.5)
Then you divide!
.4/.5 = .8
Hope this helps!
Answer:
h= x/ x+4
Step-by-step explanation:
Move all terms to the left side and set equal to zero, Then set each factor equal to zero.
Answer:
The least number of stamps required is ![9](https://tex.z-dn.net/?f=9)
Step-by-step explanation:
Let the number of
cent stamps be
and
cent stamps be ![y](https://tex.z-dn.net/?f=y)
We have
![3x+4y=33](https://tex.z-dn.net/?f=3x%2B4y%3D33)
The minimum number is obtained when more
cent stamps are used
Here
cannot be greater than
since ![\frac{33}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B33%7D%7B4%7D%20%3C9)
Substitute ![y=8](https://tex.z-dn.net/?f=y%3D8)
![3x+4\times 8=33\\\\3x=1\\\\x=\frac{1}{3}](https://tex.z-dn.net/?f=3x%2B4%5Ctimes%208%3D33%5C%5C%5C%5C3x%3D1%5C%5C%5C%5Cx%3D%5Cfrac%7B1%7D%7B3%7D)
Not possible since
is not a fraction
Substitute ![y=7](https://tex.z-dn.net/?f=y%3D7)
![3x+4\times 7=33\\\\3x=5\\\\x=\frac{5}{3}](https://tex.z-dn.net/?f=3x%2B4%5Ctimes%207%3D33%5C%5C%5C%5C3x%3D5%5C%5C%5C%5Cx%3D%5Cfrac%7B5%7D%7B3%7D)
Not possible since
is not a fraction
Substitute ![y=6](https://tex.z-dn.net/?f=y%3D6)
![3x+4\times 6=33\\\\3x=9\\\\x=\frac{9}{3}\\\\=3](https://tex.z-dn.net/?f=3x%2B4%5Ctimes%206%3D33%5C%5C%5C%5C3x%3D9%5C%5C%5C%5Cx%3D%5Cfrac%7B9%7D%7B3%7D%5C%5C%5C%5C%3D3)
Possible
Hence minimum number of stamps is
![=x+y\\\\=3+6\\\\=9](https://tex.z-dn.net/?f=%3Dx%2By%5C%5C%5C%5C%3D3%2B6%5C%5C%5C%5C%3D9)