Answer:
n=-5
Step-by-step explanation:
Answer:
see the explanation
Step-by-step explanation:
<u><em>Verify each case</em></u>
Part 1) The graph show two identical lines, then the system has infinitely many solutions
Part 2) The graph show two perpendicular lines.
Remember that the solution of the system is the intersection point both graphs
The intersection point is (2,6)
therefore
The system has one solution at (2,6)
Part 3) The graph show two intersecting lines at (-6,-2)
Remember that the solution of the system is the intersection point both graphs
The intersection point is (-6,-2)
therefore
The system has one solution at (-6,-2)
Answer: V = (12in - 2*x)*(8 in - 2*x)*x
Step-by-step explanation:
So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.
Remember that for a box of length L, width W and height H, the volume is:
V = L*W*H
In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:
L = 12 in - 2*x
For the width we have a similar case:
W = 8in - 2*x
And te height of the box will be equal to x, then:
H = x
This means that the volume is:
V = (12in - 2*x)*(8 in - 2*x)*x
Here we can see the connection between the cutout and the volume of the box
Given:
1 inch : 18 kilometers
Let us use the ratio and proportion method:
a:b = c:d where ad = bc
0.8 inches is <u>14.4 kilometers</u>
1 : 18 = 0.8 : x
x = 0.8 * 18
x = 14.4 km
1.4 inches is <u>25.2 kilometers</u>
1: 18 = 1.4 : x
x = 18 * 1.4
x = 25.2 km
2.1 inches is <u>37.8 kilometers</u>
1 : 18 = 2.1 : x
x = 18 * 2.1
x = 37.8 km