Answer:
y=-2x-5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=-2(x-1)
y+7=-2x+2
y=-2x+2-7
y=-2x-5
Answer:
<em>The correct option is: C) 4x(3y + 7z)</em>
Step-by-step explanation:
Given expression is: ![12xy+28xz](https://tex.z-dn.net/?f=12xy%2B28xz)
First we need to find the GCF(Greatest common factor) of
and
and then we will factor out that GCF.
![12xy \Rightarrow 2\times 2\times 3\times x\times y\\ \\ 28xz\Rightarrow 2\times 2\times 7\times x\times z](https://tex.z-dn.net/?f=12xy%20%5CRightarrow%202%5Ctimes%202%5Ctimes%203%5Ctimes%20x%5Ctimes%20y%5C%5C%20%5C%5C%2028xz%5CRightarrow%202%5Ctimes%202%5Ctimes%207%5Ctimes%20x%5Ctimes%20z)
We can see that the common factors are: ![2,2, x](https://tex.z-dn.net/?f=2%2C2%2C%20x)
So, the GCF will be: ![2\times 2\times x= 4x](https://tex.z-dn.net/?f=2%5Ctimes%202%5Ctimes%20x%3D%204x)
Now factoring out
from the given expression, we will get.....
![12xy+28xz\\ \\ = 4x(\frac{12xy}{4x}+ \frac{28xz}{4x}) \\ \\ =4x(3y+7z)](https://tex.z-dn.net/?f=12xy%2B28xz%5C%5C%20%5C%5C%20%3D%204x%28%5Cfrac%7B12xy%7D%7B4x%7D%2B%20%5Cfrac%7B28xz%7D%7B4x%7D%29%20%5C%5C%20%5C%5C%20%3D4x%283y%2B7z%29)
So, the complete factorization will be: ![4x(3y+7z)](https://tex.z-dn.net/?f=4x%283y%2B7z%29)
$8.00/10 kg equals $0.80/kg
Note on how to solve such equation:
This is a quadradic equation. The figure shown is a parabola. This parabola opens downward. Now, this information is not necessary important for this particular situation; however, it needs to be retained for said class or for the near future.
The equation for a quadradic function is: f(x)=x^2+2
when x=-2, y=1
Answer:
The answer to your question is 55 ft
Step-by-step explanation:
Data
Person's height = 5 ft
Person's shadow = 10 ft
Tree's height = ?
Tree's shadow = 110 ft
- Use the Thales' theorem to solve this problem
Person's height / Person's shadow = Tree's height / Tree's shadow
- Substitution
5 / 10 = x / 110
-Solve for x
x = 5 (110) / 10
-Simplification
x = 550 / 10
-Result
x = 55 ft
-Conclusion
The tree is 55 ft height