Answer:
Infinite solution
Step-by-step explanation:
There is 3 possible solutions to a system of linear equations:
- One solution - two distinct lines that do not share y-intercept or slop intersect at a point
- No solution - two distinct lines that share the same slope but not the same y-intercept never intersect and are parallel
- Infinite solution - one distinct function represented two ways which in simplest form share the same slope and y-intercept
The first equation is in simplest form y=2x+3.
The second equation 2y=4x+6 when simplified becomes y=2x+3.
These are the same lines with the same slope and y-intercept. Therefore, they have infinite solutions.
There are the same because 4/8 is rudeced to 1/2
Answer:
Arrange the variables to y intercept form: y=-x+2. We have the slope is -1, and the y intercept is 2. You should be able to draw a line from here.
Step-by-step explanation:
Answer:
B. Parallel
Step-by-step explanation:
Equation 1 simplified: y = 3x+7
Equation 2 simplified: y = -x/3-3
The slopes are completely different, ruling out the possibility of the lines being parallel.
But we also see the slopes of the equations are opposite and negative to each other. Making the lines perpendicular.
Answer:
<u>Perimeter</u>:
= 58 m (approximate)
= 58.2066 or 58.21 m (exact)
<u>Area:</u>
= 208 m² (approximate)
= 210.0006 or 210 m² (exact)
Step-by-step explanation:
Given the following dimensions of a rectangle:
length (L) =
meters
width (W) =
meters
The formula for solving the perimeter of a rectangle is:
P = 2(L + W) or 2L + 2W
The formula for solving the area of a rectangle is:
A = L × W
<h2>Approximate Forms:</h2>
In order to determine the approximate perimeter, we must determine the perfect square that is close to the given dimensions.
13² = 169
14² = 196
15² = 225
16² = 256
Among the perfect squares provided, 16² = 256 is close to 252 (inside the given radical for the length), and 13² = 169 (inside the given radical for the width). We can use these values to approximate the perimeter and the area of the rectangle.
P = 2(L + W)
P = 2(13 + 16)
P = 58 m (approximate)
A = L × W
A = 13 × 16
A = 208 m² (approximate)
<h2>Exact Forms:</h2>
L =
meters = 15.8745 meters
W =
meters = 13.2288 meters
P = 2(L + W)
P = 2(15.8745 + 13.2288)
P = 2(29.1033)
P = 58.2066 or 58.21 m
A = L × W
A = 15.8745 × 13.2288
A = 210.0006 or 210 m²