For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis.
According to the data of the statement we have the following points:
![(x_ {1}, y_ {1}): (- 9, -9)\\(x_ {2}, y_ {2}): (- 6,0)](https://tex.z-dn.net/?f=%28x_%20%7B1%7D%2C%20y_%20%7B1%7D%29%3A%20%28-%209%2C%20-9%29%5C%5C%28x_%20%7B2%7D%2C%20y_%20%7B2%7D%29%3A%20%28-%206%2C0%29)
We found the slope:
![m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 9)} {- 6 - (- 9)} = \frac { 9} {- 6 + 9} = \frac {9} {3} = 3](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7By_%20%7B2%7D%20-y_%20%7B1%7D%7D%20%7Bx_%20%7B2%7D%20-x_%20%7B1%7D%7D%20%3D%20%5Cfrac%20%7B0%20-%20%28-%209%29%7D%20%7B-%206%20-%20%28-%209%29%7D%20%3D%20%5Cfrac%20%7B%209%7D%20%7B-%206%20%2B%209%7D%20%3D%20%5Cfrac%20%7B9%7D%20%7B3%7D%20%3D%203)
Thus, the equation is of the form:
![y = 3x + b](https://tex.z-dn.net/?f=y%20%3D%203x%20%2B%20b)
We substitute one of the points and find b:
![0 = 3 (-6) + b\\0 = -18 + b\\b = 18](https://tex.z-dn.net/?f=0%20%3D%203%20%28-6%29%20%2B%20b%5C%5C0%20%3D%20-18%20%2B%20b%5C%5Cb%20%3D%2018)
Finally, the equation is:
![y = 3x + 18](https://tex.z-dn.net/?f=y%20%3D%203x%20%2B%2018)
Answer:
![y = 3x + 18](https://tex.z-dn.net/?f=y%20%3D%203x%20%2B%2018)
Answer: 17.5%
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.175 × 100 = 17.5% (answer).
➥ The ease way:
1) Move the decimal point two places to the right: 0.175 → 1.75 → 17.5.
2) Add a % sign: 17.5%
Answer: 17.5%
Answer:
10
Step-by-step explanation:
Square = 2 x 2 = 4
The Small triangle is half of the square so 4 divided by 2 is 2.
The big triangle 4 x 2 = 8 divided by 2 is 4.
So,
4 + 2 + 4 = 10
Y = kx - 8. The variable k can be any negative value.
by pythagorean formula, the last side is √(61)
by cos rule
cos A
![= \frac{ {6}^{2} + 61 - {5}^{2} }{2 \times 6 \times \sqrt{61} } \\ = \frac{72}{12 \sqrt{61} } \\ = \frac{6}{ \sqrt{61} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20%7B6%7D%5E%7B2%7D%20%20%2B%2061%20-%20%20%7B5%7D%5E%7B2%7D%20%7D%7B2%20%5Ctimes%206%20%5Ctimes%20%20%5Csqrt%7B61%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B72%7D%7B12%20%5Csqrt%7B61%7D%20%7D%20%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B6%7D%7B%20%5Csqrt%7B61%7D%20%7D%20)
A = 39.81