Given:
The slope of the line joining points (3,2) and (0,a) is -1.
To find:
The value of a.
Solution:
If a line passes through two points
and
, the slope of a line is:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
The slope of the line joining points (3,2) and (0,a) is -1. So,
![\dfrac{a-2}{0-3}=-1](https://tex.z-dn.net/?f=%5Cdfrac%7Ba-2%7D%7B0-3%7D%3D-1)
![\dfrac{a-2}{-3}=-1](https://tex.z-dn.net/?f=%5Cdfrac%7Ba-2%7D%7B-3%7D%3D-1)
Multiply both sides by -3.
![a-2=-1(-3)](https://tex.z-dn.net/?f=a-2%3D-1%28-3%29)
![a-2=3](https://tex.z-dn.net/?f=a-2%3D3)
![a=3+2](https://tex.z-dn.net/?f=a%3D3%2B2)
![a=5](https://tex.z-dn.net/?f=a%3D5)
Therefore, the value of a is 5.
Yes that is right
x=-4 is a vertical line passing through the points (-4,y)
where y can be any value
Answer:
![40 in^2](https://tex.z-dn.net/?f=40%20in%5E2)
Step-by-step explanation:
The initial dimensions of the paper are:
(length)
(width)
After the paper is cut along the diagonal, we remain with a right triangle, of which the length and the width corresponds to the base and the height.
For a triangle, the area is calculated as
![A=\frac{1}{2}bh](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7Dbh)
where
b is the base
h is the height
Here we have:
![b=L=10 in\\h=W=8 in](https://tex.z-dn.net/?f=b%3DL%3D10%20in%5C%5Ch%3DW%3D8%20in)
Therefore, the area of the triangle is:
![A=\frac{1}{2}(10)(8)=40 in^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%2810%29%288%29%3D40%20in%5E2)
Answer:
D
Step-by-step explanation:
Answer:
Hello my friend! The answer is 1.75X10^-15
Step-by-step explanation:
If you multiply 2.5 x7 = 17.5
When we do the product of exponential terms with the same base, we can sum de exponents. In this case (-10) + (-6) = -16.
However, to scientific notation, we have to use 1.75
So, the final result wich were 17.5x10-16, will be "1.75x10^-15"