Answer:
$.46 or 46 cents per foot
Step-by-step explanation:
3 yards = 4.14
1 yard is 3 feet
3 yards is 9 feet
4.14 ÷ 9 = .46
The translation of the question given is
A line that passes through the points A (2,1) and B (6,3) and another line passes through A and through the point (0, y). What is y worth, if both lines are perpendicular?
Answer:
y = 5
Step-by-step explanation:
Line 1 that passes through A (2,1) and B (6,3)
Slope (m1) = 3-1/6-2 = 2/4 = 1/2
y - 1 = 
( x -2)
2y - 2 = x- 2
y = 
Line 2 passes through A (2,1) and (0,y)
slope (m2) =
Line 1 and Line 2 are perpendicular
m1*m2 = -1
* = -1
y-1 = 4
y = 5
slope = -2
Equation of Line 2
Y-1 = -2(x-2)
y -1 = -2x +4
2x +y = 5
16/3 is rational simply because it is a fraction made up of whole numbers.
Irrational numbers cannot be expressed as fractions made up of whole numbers.
Answer:
difference in area = 16 ft²
if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft
if you use 13 the difference i length will be 25 - 18 = 7 ft
Step-by-step explanation:
Jacks rectangular patio
width = a
length = 2a - 1
area = lw
where
l = length
w = width
area = 120 ft²
a(2a - 1)
2a² - a - 120 = 0
(a - 8) (2a + 15)
a = 8 or -15/2
Ron's rectangular patio
width = a
length = a + 5
area = lw
area = 104 ft²
a (a + 5) = 104
a² + 5a -104 = 0
(a + 8) (a - 13)
a = -8 or 13
How many square feet longer is jack patio longer than Ron's patio is the difference in their area. Therefore,
120 - 104 = 16 ft²
The value 8 or 13 can be used for a since the width a have to be the same.
if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft
if you use 13 the difference i length will be 25 - 18 = 7 ft
Answer:
16. 1 4/5
17. 2 2/3
18. 4/11
19. 4 1/2
20. 4/7
21. 1/2
22. 1 2/5
23. 2 1/2
24. 4 2/3
Step-by-step explanation:
1. subtract whole numbers first
2. subtract fractions next (simplify if you can)
3. subtract fractions and whole numbers
