Answer:
<h3>
y = -0.1x - 3.4</h3>
Step-by-step explanation:
The point-slope form of equation of a line is:
y - y₀ = m(x - x₀)
where <em>(x₀, y₀)</em> is the point which the line passes through and <em>m</em> is the slope of the line
The product of slopes of two perpendicular lines is -1
so if given lines slope is 10 them:
10·m = -1
m = -0.1
(6, -4) ⇒ x₀ = 6, y₀ = -4
Therefore:
y - (-4) = -0.1(x - 6)
y = -0.1x + 0.6 + (-4)
<u> </u><u>y = -0.1x - 3.4 </u>
You want to get p on its own on one side of the equals sign. Firstly, you have to take 120 from both sides.p + q = 120 => p = 120 - q. p(q) = 120 - q.
Answer:
A.
Step-by-step explanation:
Majority is over 50%
Answer:
Option (d) is correct.
6 + 9 + 12 +15 = ![\sum_{k=1}^{4}(3k+3)](https://tex.z-dn.net/?f=%5Csum_%7Bk%3D1%7D%5E%7B4%7D%283k%2B3%29)
Step-by-step explanation:
Consider the given series expansion 6 + 9 + 12 +15.
since we have to write in series form of 3.
We first write each term of given series in term of 3k or 3k+3
6 can be written as 3(2) or 3(1)+3
9 can be written as 3(3) or 3(2)+3
12 can be written as 3(4) or 3(3)+3
15 can be written as 3(5) or 3(4)+3
Thus, we can write the given series as ,
or ![\sum_{k=1}^{4}(3k+3)](https://tex.z-dn.net/?f=%5Csum_%7Bk%3D1%7D%5E%7B4%7D%283k%2B3%29)
Since, we have options to choose.
From the given option (d) matches our result.
So, 6 + 9 + 12 +15 = ![\sum_{k=1}^{4}(3k+3)](https://tex.z-dn.net/?f=%5Csum_%7Bk%3D1%7D%5E%7B4%7D%283k%2B3%29)
Answer:
The lenght of one side= 6
Step-by-step explanation:
The cost of fencing around the field for one meter = 15
The total cost = 360
The perimeter = 360 / 15 = 24 m
The lenght of one side= 6
( p = 4S)
so .... (s = p /4 )
24 = 4s
so .... s = 24/4 = 6
I hope it's right !!!!!