Answer:
25
Step-by-step explanation:
Given that:
Initial payment done for buying the phone = $50
Charges per month for the phone = $25 per month
To find:
The equation to represent the situation and its slope.
Solution:
First of all, let us assume that
represents the number of months for which monthly is to be made.
Charges paid for one month = $25
Charges paid for
months = $25![m](https://tex.z-dn.net/?f=m)
Total cost of the phone = Initial payment + Charges paid for
months
![C = 25m + 50](https://tex.z-dn.net/?f=C%20%3D%2025m%20%2B%2050)
It is a linear equation between two variables
and
.
This equation can be compared with slope intercept form of a line.
Slope intercept form of a line is represented by:
![y=Mx+c](https://tex.z-dn.net/?f=y%3DMx%2Bc)
is the slope.
On Comparing, we get:
![y = C, M = 25, x = m, c = 50](https://tex.z-dn.net/?f=y%20%3D%20C%2C%20M%20%3D%2025%2C%20x%20%3D%20m%2C%20c%20%3D%2050)
Therefore, the slope is <em>25</em>.
Answer:
Widow's Share = Rs 500.05
Son's share = Rs 1400.14
Step-by-step explanation:
Property = 4000.40
Widow get share = 0.125
So, Share of Widow = 0.125 * 4000.40
Widow's Share = Rs 500.05
Remaining Property = 4000.40 - 500.05
Remaining Property = 3500.35
Son's share = 0.4 * 3500.35
Son's share = Rs 1400.14
Area of <span>parallelogram=base * height
so it is 12*9=108 yd²</span>
The equation of a line that is perpendicular to the given line is y = –4x – 16.
Solution:
The equation of a line given is y = 0.25x – 7
Slope of the given line(
) = 0.25
Let
be the slope of the perpendicular line.
Passes through the point (–6, 8).
<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>
![\Rightarrow m_1 \cdot m_2=-1](https://tex.z-dn.net/?f=%5CRightarrow%20m_1%20%5Ccdot%20m_2%3D-1)
![\Rightarrow 0.25\cdot m_2=-1](https://tex.z-dn.net/?f=%5CRightarrow%200.25%5Ccdot%20m_2%3D-1)
![\Rightarrow m_2=\frac{-1}{0.25}](https://tex.z-dn.net/?f=%5CRightarrow%20m_2%3D%5Cfrac%7B-1%7D%7B0.25%7D)
![\Rightarrow m_2=-4](https://tex.z-dn.net/?f=%5CRightarrow%20m_2%3D-4)
Point-slope intercept formula:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
and ![m=-4](https://tex.z-dn.net/?f=m%3D-4)
Substitute these in the formula, we get
![y-8=-4(x-(-6))](https://tex.z-dn.net/?f=y-8%3D-4%28x-%28-6%29%29)
![y-8=-4(x+6)](https://tex.z-dn.net/?f=y-8%3D-4%28x%2B6%29)
![y-8=-4x-24](https://tex.z-dn.net/?f=y-8%3D-4x-24)
Add 8 on both sides of the equation.
![y-8+8=-4x-24+8](https://tex.z-dn.net/?f=y-8%2B8%3D-4x-24%2B8)
![y=-4x-16](https://tex.z-dn.net/?f=y%3D-4x-16)
Hence the equation of a line that is perpendicular to the given line is
y = –4x – 16