Answer:
x^2 +14x+49
Step-by-step explanation:
Area = length * width
= ( x+7) * ( x+7)
FOIL
first: x^2
outer: 7x
inner: 7x
last: 7*7 = 49
Add them together
x^2 +7x+7x + 49
Combine like terms
x^2 +14x+49
Answer: 91.5
Step-by-step explanation:
The image lines constructed are called parallel lines. They are parallel because they are all equidistant to each other at every point and at no point between any of the lines will there be an intersection of the three lines.
<h3>What does it mean for two or more lines to be equidistant from each other?</h3>
Equidistance is simply another word for equal in distance. That is, parallel lines maintain equal distance from each other at all points along them.
See the attached construction as well as more insights about parallel lines from the link below.
brainly.com/question/24607467'
#SPJ1
Answer:
x = -0.6
y = 2.2
z = 2
Step-by-step explanation:
2x + y - 2z = -3
x + 3y - z = 4
3x + 4y - z = 5
Rewrite the system in matrix form and solve it by Gaussian Elimination (Gauss-Jordan elimination)
2 1 -2 -3
1 3 -1 4
3 4 -1 5
R1 / 2 → R1 (divide the 1 row by 2)
1 0.5 -1 -1.5
1 3 -1 4
3 4 -1 5
R2 - 1 R1 → R2 (multiply 1 row by 1 and subtract it from 2 row); R3 - 3 R1 → R3 (multiply 1 row by 3 and subtract it from 3 row)
1 0.5 -1 -1.5
0 2.5 0 5.5
0 2.5 2 9.5
R2 / 2.5 → R2 (divide the 2 row by 2.5)
1 0.5 -1 -1.5
0 1 0 2.2
0 2.5 2 9.5
R1 - 0.5 R2 → R1 (multiply 2 row by 0.5 and subtract it from 1 row); R3 - 2.5 R2 → R3 (multiply 2 row by 2.5 and subtract it from 3 row)
1 0 -1 -2.6
0 1 0 2.2
0 0 2 4
R3 / 2 → R3 (divide the 3 row by 2)
1 0 -1 -2.6
0 1 0 2.2
0 0 1 2
R1 + 1 R3 → R1 (multiply 3 row by 1 and add it to 1 row)
1 0 0 -0.6
0 1 0 2.2
0 0 1 2
x = -0.6
y = 2.2
z = 2
