The
coordinates of the y-intercept of the line represented by the equation 5x+3y=30 are
(0,10).
Using the Euler's formula, the number of segments in the pentagonal prism is: 15.
<h3>What is the Euler's Formula?</h3>
The Euler's formula is given as, F + V = E + 2, where:
- F = number of faces (number of regions)
- V = vertices
- E = number of edges (number of segments).
Given that the pentagonal prism has the following dimensions:
- F = 7
- V = 10
- E = number of segments = ?
Plug in the values into the Euler's formula, F + V = E + 2:
7 + 10 = E + 2
17 - 2 = E
E = 15
Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.
Learn more about the Euler's formula on:
brainly.com/question/1178790
X+4=y=-2x-2
x+4=-2x-2
add 2x to both side
3x+4=-2
minus 4 both sides
3x=-6
divide 3
x=-2
sub back
y=x+4
y=-2+4
y=2
(x,y)
(-2,2)
Answer:
x = 32
y = 16sqrt(5)
z = 8sqrt(5)
Step-by-step explanation:
x/16 = 16/8
x/16 = 2
x = 32
y^2 = 16^2 + 32^2
y^2 = 1280
y = 16sqrt(5)
z^2 = 8^2 + 16^2
z^2 = 320
z = 8sqrt(5)
Systems of linear equations can only have 0, 1, or an infinite number of solutions. The two lines can't intersect twice, so the correct answer is that the system has one solution.
