Answer:
y = 12
Step-by-step explanation:
y = 8 is the equation of a horizontal line, parallel to the x- axis.
Thus a parallel line will also be horizontal.
The equation of a horizontal line is
y = c
where c is the y- coordinates of the points it passes through.
The line passes through (- 6, 12) with y- coordinate of 12, thus
y = 12 ← equation of parallel line
Answer:
10√2
Step-by-step explanation:
A(1, 4), B(3, 6), C(6, 3), D(4, 1)
The distance formula tells you the distance d between two points (x1, y1) and (x2, y2) is given by ...
d = √((x2-x1)² +(y2-y1)²
Then the side lengths are ...
AB = √(2² +2²) = √8 = 2√2
BC = √(3² +(-3)²) = √18 = 3√2
The perimeter is twice the sum of these sides, so is ...
P = 2(2√2 +3√2) = 10√2 . . . the perimeter of the rectangle
Number 7: 11/12-9/10 = 110/120-108/120=2/120= 1/60
number 8: 5/18-1/3=15/54-5/54=10/54 =5/27
3x-5=19-x
3x-5-19+x=0
4x-24=0
4x=24
x=6
The solutions fo the inequality are all the points (x, y) that meet these 3 conditions.
- x ≠ 0
- y ≠ 0
- Sign(x) =sign(y)
<h3>
Which points are solutions of the inequality?</h3>
We want to find points of the form (x, y) that are solutions of the inequality:
x*y > 0
Clearly x and y must be different than zero.
So, for example if x = -1, y can be any negative number, for example y= -3
x*y > 0
(-1)*(-3) > 0
3 > 0
This is true.
Now if x = 1, y must be positive. LEt's take y = 103, then:
x*y > 0
1*103 > 0
103 > 0
Then we have 3 conditions:
- x ≠ 0
- y ≠ 0
- Sign(x) =sign(y)
The solutions fo the inequality are all the points (x, y) that meet these 3 conditions.
If you want to learn more about inequalities:
brainly.com/question/25275758
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