Answer:
Missing value is -4/3 and whole solution can be written as ( 8,-4/3)
Step-by-step explanation:
Given equation 2x+3y=12
solution ( 8,)
solution is form (x,y) hence in (8,) x is given as 8 while y is missing to find y
we will plug 8 as value of x in equation 2x+3y=12. From this equation we will find the missing value.
2x+3y=12
=> 2*8+3y=12
=> 16 + 3y = 12
=> 3y = 12-16= -4
=> y = -4/3
Thus, missing value is -4/3 and whole solution can be written as ( 8,-4/3)
Answer: 24 m
Step-by-step explanation:
Given: area of the circle is 144 π m² .
Area of a circle =
, where r= radius of the circle.
Then, ![144\pi = \pi r^2](https://tex.z-dn.net/?f=144%5Cpi%20%3D%20%5Cpi%20r%5E2)
Cancelling π from both sides , we get
![144 = r^2](https://tex.z-dn.net/?f=144%20%3D%20r%5E2)
Taking square root on both sides , we get'
![12= r](https://tex.z-dn.net/?f=12%3D%20r)
i.e. radius = 12 m
Then diameter = 2 (radius ) = 2 (12)= 24 m
Hence, the diameter of the circle is 24 m.
The slope of a line who is perpendicular to another, is the negative reciprocal slope of that line, that is, if a line has slope say a/b, then
![\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{a}{b}\\\\ slope=\cfrac{a}{{{ b}}}\qquad negative\implies -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}\\\\ -------------------------------\\\\ slope=-2\qquad negative\implies +2\qquad reciprocal\implies \cfrac{1}{2}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bperpendicular%2C%20negative-reciprocal%20slope%20for%20slope%7D%5Cquad%20%5Ccfrac%7Ba%7D%7Bb%7D%5C%5C%5C%5C%0Aslope%3D%5Ccfrac%7Ba%7D%7B%7B%7B%20b%7D%7D%7D%5Cqquad%20negative%5Cimplies%20%20-%5Ccfrac%7Ba%7D%7B%7B%7B%20b%7D%7D%7D%5Cqquad%20reciprocal%5Cimplies%20-%20%5Ccfrac%7B%7B%7B%20b%7D%7D%7D%7Ba%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0Aslope%3D-2%5Cqquad%20negative%5Cimplies%20%2B2%5Cqquad%20reciprocal%5Cimplies%20%5Ccfrac%7B1%7D%7B2%7D)
so.. what is the equation of a line whose slope is 1/2 and passes through (2,5)?
5/6÷(-1/2)
To divide by a fraction, multiply by its reciprocal
5/6(-2)
Simplify
5/6×-2/1
5(-2)/6
-10/6
Reduce the expression by cancelling the common factors
2×-5/2×3
Cx common factor 2 to get
-5/3
Step-by-step explanation:
I think the answer is one