Answer:
D
Step-by-step explanation:$400x.30=$120
400-120=280
$280x.10=28
280-28=252
5 tenths because the 5 is located in the tenths place
Answer:
The slope of FG is -1
Step-by-step explanation:
Given
Square EFGH
EF: ![x - y = 2](https://tex.z-dn.net/?f=x%20-%20y%20%3D%202)
Required
Determine the slope of FG
First, we calculate the slope of EF
![x - y = 2](https://tex.z-dn.net/?f=x%20-%20y%20%3D%202)
Make y the subject
![-y = 2 - x](https://tex.z-dn.net/?f=-y%20%3D%202%20-%20x)
![y = x -2](https://tex.z-dn.net/?f=y%20%3D%20x%20-2)
The general equation has the form: ![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where
![m = slope](https://tex.z-dn.net/?f=m%20%3D%20slope)
Compare
to ![y = x -2](https://tex.z-dn.net/?f=y%20%3D%20x%20-2)
![m = 1](https://tex.z-dn.net/?f=m%20%3D%201)
<em>From the name of the square EFGH, we can conclude that EF and FG are perpendicular</em>
<em />
The relationship between perpendicular lines is:
![m_2 = -\frac{1}{m_1}](https://tex.z-dn.net/?f=m_2%20%3D%20-%5Cfrac%7B1%7D%7Bm_1%7D)
Where
-- Slope of EF
and
m2 = slope of FG
Substitute 1 for m1 in ![m_2 = -\frac{1}{m_1}](https://tex.z-dn.net/?f=m_2%20%3D%20-%5Cfrac%7B1%7D%7Bm_1%7D)
![m_2 = -\frac{1}{1}](https://tex.z-dn.net/?f=m_2%20%3D%20-%5Cfrac%7B1%7D%7B1%7D)
![m_2 = -1\\](https://tex.z-dn.net/?f=m_2%20%3D%20-1%5C%5C)
<em>Hence, the slope of FG is -1</em>
An expressions obtained from the square of binomial expression is a perfect square trinomial . For example: x square+2x+1
is ≈3.32 and
≈ 6.71. Look at the whole numbers, or integers, between 3 and 6. You will have 4 and 5. SInce we are looking for the sum of the integers, your sum will be 9. Hope this helped.