Answer:
Parallel
Step-by-step explanation:
Equation A find the lowest number of the three. Equation A satisfies the given conditions.
<h3>What is even number? </h3>
If the number is divisible by 2 then the number will be an even number. Similarly, the number is not divisible by 2 then the number will be an odd number.
Assume the three consecutive integers are 2x,2x+2,2x+4
The sum of the three consecutive even numbers are 36;
x+x+2+x+4 = 36
3x+6=36
3x=30
x=10
The three integers are found as;
x =10
x+2 = 10+2 = 12
2x+4 =10+4=14
Hence, equation A find the lowest number of the three. Equation A satisfies the given conditions.
To learn more about the even number, refer to the link;
brainly.com/question/2289438
#SPJ1
Answer:
Step-by-step explanation:
d = 2r => r = d/2 = 16in/2 = 8 inches
V = Ab×h
= π·r²×h
= 3.14·(8in)²×5in
= 1004.8 in³
Check the picture below.
so.. simply, use the distance formula, to get their length an add them up, and that's the perimeter of the polygon.
![\bf -------------------------------\\\\ d=\sqrt{[2-(-1)]^2+(4-2)^2}\implies d=\sqrt{(2+1)^2+(2)^2} \\\\\\ d=\sqrt{3^2+2^2}\implies \boxed{d=\sqrt{13}}\\\\ -------------------------------\\\\ d=\sqrt{(3-2)^2+(-2-4)^2}\implies d=\sqrt{1^2+(-6)^2}\implies \boxed{d=\sqrt{37}}\\\\ -------------------------------\\\\ d=\sqrt{(-2-3)^2+[-3-(-2)]^2}\implies d=\sqrt{(-5)^2+(-3+2)^2} \\\\\\ d=\sqrt{(-5)^2+(-1)^2}\implies \boxed{d=\sqrt{26}}](https://tex.z-dn.net/?f=%5Cbf%20-------------------------------%5C%5C%5C%5C%0Ad%3D%5Csqrt%7B%5B2-%28-1%29%5D%5E2%2B%284-2%29%5E2%7D%5Cimplies%20d%3D%5Csqrt%7B%282%2B1%29%5E2%2B%282%29%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0Ad%3D%5Csqrt%7B3%5E2%2B2%5E2%7D%5Cimplies%20%5Cboxed%7Bd%3D%5Csqrt%7B13%7D%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0Ad%3D%5Csqrt%7B%283-2%29%5E2%2B%28-2-4%29%5E2%7D%5Cimplies%20d%3D%5Csqrt%7B1%5E2%2B%28-6%29%5E2%7D%5Cimplies%20%5Cboxed%7Bd%3D%5Csqrt%7B37%7D%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0Ad%3D%5Csqrt%7B%28-2-3%29%5E2%2B%5B-3-%28-2%29%5D%5E2%7D%5Cimplies%20d%3D%5Csqrt%7B%28-5%29%5E2%2B%28-3%2B2%29%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0Ad%3D%5Csqrt%7B%28-5%29%5E2%2B%28-1%29%5E2%7D%5Cimplies%20%5Cboxed%7Bd%3D%5Csqrt%7B26%7D%7D)
![\\\\ -------------------------------\\\\ d=\sqrt{[-1-(-2)]^2+[2-(-3)]^2}\implies d=\sqrt{(-1+2)^2+(2+3)^2} \\\\\\ d=\sqrt{(1)^2+(5)^2}\implies \boxed{d=\sqrt{26}}](https://tex.z-dn.net/?f=%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0Ad%3D%5Csqrt%7B%5B-1-%28-2%29%5D%5E2%2B%5B2-%28-3%29%5D%5E2%7D%5Cimplies%20d%3D%5Csqrt%7B%28-1%2B2%29%5E2%2B%282%2B3%29%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0Ad%3D%5Csqrt%7B%281%29%5E2%2B%285%29%5E2%7D%5Cimplies%20%5Cboxed%7Bd%3D%5Csqrt%7B26%7D%7D)
so, those are their lengths, sum them all up, that's the polygon's perimeter.
Answer:
C(x) = 12x + 1680
Slope = 12
Intercept = 1680
Step-by-step explanation:
Given that:
X1 = 60 chairs ; y1 = 2400
X2 = 260 chairs ; y2 = 4800
Obtain the slope ; m
m = y2 - y1 / x2 - x1
m = 4800 - 2400 / 260 - 60
m = 2400 / 200
m = 12
Using the point slope relation:
y - y1 = m(x - x1)
y - 2400 = 12(x - 60)
y - 2400 = 12x - 720
y = 12x - 720 + 2400
y = 12x + 1680
C(x) = 12x + 1680
From the general slope intercept equation :
y = mx + c
m = slope ; c = intercept
Hence,
C(x) = 12x + 1680
Slope = 12
Intercept = 1680
