PART A:
The generic equation of the line is:
y-yo = m (x-xo)
First we look for the slope of the line:
m = (y2-y1) / (x2-x1)
m = ((5000) - (6000)) / (4-3)
m = -1000
Then, we substitute any point in the generic equation:
(xo, yo) = (4, 5000)
Substituting:
y-5000 = (- 1000) (x-4)
Rewriting:
y = -1000x + 4000 + 5000
y = -1000x + 9000
The equation is:
y = -1000x + 9000
PART B:
For the price of 3.50 we have:
y = -1000 * (3.5) +9000
y = 5500
Answer: c=5.4
The two roots are 3/5 and 9/5
Step-by-step explanation:
assume 5x2−12x c=0 is supposed to be 5x^2 - 12x + c = 0
p = (12 + sqrt(144-20c))/10
q = (12 - sqrt(144-20c))/10
p-3q=0,
1.2 + 0.1sqrt(144-20c) +
-3.6 + 0.3sqrt(144-20c) = 0
-2.4 + 0.4sqrt(144-20c) +2.4 = 2.4
sqrt(144-20c) = 2.4/0.4 = 6
144-20c=36
144-36=20c
c = 108/20 = 5.4
5x^2-12x+5.4=0
x = 3/5 or x = 9/5
Step-by-step explanation:
Given
Area of rectangle (A) = 243.9 m²
Length (L) = 15 m
first calculating the breadth (b)
We know
L * b = A
15 * b = 243.9
b = 243.9/ 15
b = 16.26 m
Now
Perimeter (p)
= 2 ( L + b)
= 2 ( 15 + 16.29)
= 62.58 m
Hope it will help
Oh its super easy! 5w = 5 x W, so take one of the numbers like 2 and times it by 5 and add it to the rest of the problem, and see if the number you get is in your answers, if its not, then try the others!