Answer:
Step-by-step explanation:
I cannot use the line tool for you, but I can rewrite the equations
y = -x + 4 is good enough
Two points for this graph:
x = 0 -> y = 4 gives the point (0, 4)
x = 1 -> y = 3 gives the point (1, 3)
18x + 6y = -6
6y = -18x - 6
y = -3x - 2
Two ponts for this graph:
x = 0 -> y = -2 gives the point (0, -2)
x = 1 -> y = -5 gives the point (1, -5 )
Answer:
Mimi is 15.
Step-by-step explanation:
Set up two equations, and solve by elimination.
2(m+5) = d+5
- 3(m-5) = d-5
_____________
2(m+5) - 3(m-5) = 10
2m + 10 - 3m + 15 = 10
-m + 25 = 10
-m = -15
<u>m = 15</u>
Plug this back in to get dad's age.
2(m+5) = d+5
2(15+5) = d + 5
2(20) = d + 5
40 = d + 5
<u>d = 35</u>
<u></u>
11 times with a remainder of 5
Penny has the most left of her smoothie
you have to find the common denominator(number that all of the denominators are divisible into.
the common denominator is 24
convert all the fraction accordingly
Kathleen has 9/24 smoothie
penny has 20/24 smoothie
megan has 15/24 smoothie<span />
Answer:
Area of the regular dodecagon inscribed in a circle will be 27 square units.
Step-by-step explanation:
A regular dodecagon is the structure has twelve sides and 12 isosceles triangles inscribed in a circle as shown in the figure attached.
Since angle formed at the center by a polygon = 
Therefore, angle at the center of a dodecagon = 
= 30°
Since one of it's vertex is (3, 0) therefore, one side of the triangle formed or radius of the circle = 3 units
Now area of a small triangle = 
where a and b are the sides of the triangle and θ is the angle between them.
Now area of the small triangle = 
= 
Area of dodecagon = 12×area of the small triangle
= 12×
= 27 unit²
Therefore, area of the regular octagon is 27 square unit.
