Because consecutive vertices are already connected by the edges of the polygon.
Given parameters:
First term of the sequence = x
Second term = x + 2
Third term = x + 4
Sum of the first three terms = 72
Unknown:
First term of the sequence = ?
Solution:
The sum of the first three terms is unknown;
(x) + (x + 2) + (x + 4) = 72
Solve for x;
x + x + 2 + x + 4 = 72
3x + 6 = 72
3x = 72 - 6
3x = 66
x =
= 22
The first term of the sequence is 22
Answer:
(-1,-2)
Step-by-step explanation:
There is a solution where the two expressions intersect. We can plug in what we know in the first equation in the second.
x= -1
y=3x+1
y= 3(-1)+1
y= -3+1
y= -2
Plugging y value in the equation to find x:
-2=3x+1
-3=3x
x= -1
Therefore, the point is (-1,-2)
<em>I hope this helps! :)</em>
Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
The solution is (3 , 4) ⇒ 2nd answer
Step-by-step explanation:
The system of equations can be solved by:
- Elimination method
- Substitution method
The system of equations is:
y = 3 x - 5 ⇒ (1)
y =
x + 3 ⇒ (2)
By using the substitution method substitute y in equation (2) by equation (1)
3 x - 5 =
x + 3
Subtract
x from both sides
x = 8
Divide both sides by
x = 3
substitute x by 3 in equation (1)
y = 3(3) - 5
y = 9 - 5
y = 4
The solution is (3 , 4)
Learn more:
You can learn more about the system of equations in brainly.com/question/6075514
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