Answer:
Equation of line in slope-intercept form that passes through (4, -8) and is perpendicular to the graph
is below
![y = - \frac {5}{2} x + 2](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B5%7D%7B2%7D%20x%20%2B%202)
Step-by-step explanation:
Slope of the equation
is ![m_1 = \frac{2}{5}](https://tex.z-dn.net/?f=m_1%20%3D%20%5Cfrac%7B2%7D%7B5%7D)
Since slopes of perpendicular lines are negative reciprocal of each other, therefore slope of other line is given as
![m_2 = - \frac {1}{m_1} = - \frac {5}{2}](https://tex.z-dn.net/?f=m_2%20%3D%20-%20%5Cfrac%20%7B1%7D%7Bm_1%7D%20%20%3D%20-%20%5Cfrac%20%7B5%7D%7B2%7D)
Equation of line in point slope form is given as
![y-y_1=m_2(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm_2%28x-x_1%29)
Here (x1, y1) = (4, -8)
![y+8 = - \frac{5}{2} (x-4)](https://tex.z-dn.net/?f=y%2B8%20%3D%20-%20%5Cfrac%7B5%7D%7B2%7D%20%28x-4%29)
Simplifying it further
![y = - \frac {5}{2} x + \frac {5}{2} 4 - 8](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B5%7D%7B2%7D%20x%20%2B%20%5Cfrac%20%7B5%7D%7B2%7D%204%20-%208)
![y = - \frac {5}{2} x + 2](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B5%7D%7B2%7D%20x%20%2B%202)
there are 8 letters
2/8 to get i on the first draw
1/7 to get i on the second draw (no replacement)
2/8 * 1/7 = 2/56
1/28
The probability is 1/28
Answer:
42.1
Step-by-step explanation:
The height of the main triangle is,
h = 47√3/2 (since it's an 30-60-90 triangle)
so to find x,
tan(44) = h/x
x = h/tan(44)
x = 42.1 (rounded to the nearest tenth)
Answered by GAUTHMATH
Answer:
the answer is c
Step-by-step explanation:
just guess lol
Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. The rate of change is 391.5 % increase
<em><u>Solution:</u></em>
Given that Two years ago, Sally had 5,000 dogs in her dog shelter
Now she has 24,575 dogs
To find: rate of change
A rate of change is a rate that describes how one quantity changes in relation to another quantity
<h3><u>Steps to follow:</u></h3>
- First: work out the difference (increase) between the two numbers you are comparing.
- Increase = New Number - Original Number.
- Then: divide the increase by the original number and multiply the answer by 100.
- % change = Increase ÷ Original Number x 100
![\text {rate of change }=\frac{\text { new value }-\text {original value}}{\text {original value}} \times 100](https://tex.z-dn.net/?f=%5Ctext%20%7Brate%20of%20change%20%7D%3D%5Cfrac%7B%5Ctext%20%7B%20new%20value%20%7D-%5Ctext%20%7Boriginal%20value%7D%7D%7B%5Ctext%20%7Boriginal%20value%7D%7D%20%5Ctimes%20100)
![\begin{array}{l}{\text { rate of change }=\frac{24,575-5000}{5000} \times 100} \\\\ {\text { rate of change }=\frac{19575}{5000} \times 100=391.5}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Ctext%20%7B%20rate%20of%20change%20%7D%3D%5Cfrac%7B24%2C575-5000%7D%7B5000%7D%20%5Ctimes%20100%7D%20%5C%5C%5C%5C%20%7B%5Ctext%20%7B%20rate%20of%20change%20%7D%3D%5Cfrac%7B19575%7D%7B5000%7D%20%5Ctimes%20100%3D391.5%7D%5Cend%7Barray%7D)
Thus the rate of change is 391.5 % increase