Hey there!!
Steps to get into equation which is perpendicular:
- The slope of a perpendicular line is always negative reciprocal.
- Take the point and get that into point-slope form.
- y - y = m ( x - x )
- Convert this equation into slope-intercept form.
'm' is the slope.
We have the slope as 1/3
The perpendicular slope would be -3.
Point slope:
The point = (-2,2)
y - 2 = -3( x - (-2) )
y - 2 = -3(x+2)
y - 2 = -3x -6
Adding 2 on both sides:
y = -3x - 4
<em>Hence, the equation would be : </em>
<u><em>y = -3x - 4 </em></u>
Hope it helps!
Answer:
<em>P=760</em>
Step-by-step explanation:
Three of the coordinates of the square ABCD are A(-212,112) B(-212,-3) C(2,112). The image below shows the square is not ABCD but ABDC. In fact, this is not a square, as we'll prove later.
Note the x-coordinate of A and B are the same. It means this side is parallel to the y-axis. Also, the y-coordinate of A and C are the same, meaning this side is parallel to the x-axis. The missing point D should have the same x-coordinate as C and y-coordinate as B, i.e. D=(2,-3).
This shape has sides that are parallel to both axes.
To calculate the perimeter we find the length of two sides.
The distance from A to B is the difference between their y-axis:
w=112-(-3)=115
The distance from A to C is the difference between their x-axis:
l=2-(-212)=215
It's evident this is not a square but a rectangle. The perimeter is
P=2w+2l=330+430
P=760
You need to divide 6 by 4/5.
6÷4/5
6 x 5/4
30/4
7 2/4 = 7 1/2 answer
Using combination and permutation we found out that there are 30240 ways to make varieties of pizza with 3 toppings.
Given 10 toppings
10C3 =10!/3! 7! =120
10P5 =10!/5! =30240 ways
A permutation is a process of placing objects or numbers in order. Combining is the ability to select an object or number from a group of objects or collections such that the order of the objects does not matter.
In mathematics, a combination is the selection of elements from a set with different members, so the order of selection does not matter.
The process or state of binding. Some combination: A combination of ideas. Combined: A chord is a combination of notes. Alliance of Individuals or Parties: Combinations to restrict transactions.
Learn more about combination here: brainly.com/question/11732255
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Answer:
Products Repaired Frequency
DVD Player 7
TV 3
Radio 3
MP3 Player 5
Blu-ray Player 7
Total = 25
Step-by-step explanation:
Frequency distribution table represent the information of a data in a tabular form telling us about the items present in the sample and the number of times it occur.
Each item was picked from the list and written under 'Products repaired' then the number of times each item appeared is the frequency.