Answer:
<em>x = -2</em>
<em>y = -5</em>
Step-by-step explanation:
<u>Properties of a Parallelogram</u>
- Two pairs of opposite sides are parallel.
- Two pairs of opposite sides are equal in length.
- Two pairs of opposite angles are equal in measure
- The diagonals bisect each other.
- Adjacent angles are supplementary.
- Each diagonal divides the quadrilateral into two congruent triangles.
Each diagonal is divided into two measures expressed with variables. Since diagonals bisect each other:
y + 23 = -4y - 2. And
-2x + 6 = x + 12
Solve the first equation. Adding 4y:
5y + 23 = - 2
Subtracting 23:
5y = -25
Dividing by 5:
y = -5
Solve the second equation. Subtracting x and 6:
-3x = 6
Dividing by -3:
x = -2
Solution:
x = -2
y = -5
Okay, so this is actually relatively simple:
Go up 44 units on the y-axis, where x=0, and put a point. Now, since the slope is 3x, you move 3 units up, and 1 unit right, and place a point. Do this about 3 times, continuing to make points up 3, over 1. You can also move 3 units down and 1 unit left from the point at (0,44) because by moving down, you move -3 units, and by moving left, you move -1 units. This causes the negatives to cancel out, and you keep the slope of 3.
I hope this explanation makes sense; good luck!
To solve algebraically:
Plug in any number for x, besides 0 because the y-intercept is (0,44). We will use 1 for our x.
y=44+3x
y=44+3(1)
y=44+3
y=47
And so, (1, 47) would be our point
You can use -1, as well.
y=44+3(-1)
y=44-3
y=41
(-1, 44) would be our point
<h3>
Answer: Choice 2. </h3>
=====================================================
Explanation:
The rule is that if for some positive number k, then it can be written as the compound inequality . This is a shorthand way of writing the two inequalities combined together.
note: is the same as
From here, we replace k with 3
Therefore, turns into which breaks down further to
The keyword "and" is important as we can't pick one or the other. We must pick both and also
Answer:
Simplify terms.
Tap for more steps...
2
x
^3
−
9
x^
2
+
7
x
+
6
Step-by-step explanation:
A. 6xy(2x^2y^2-4xy^2)
If you need to multiply 6xy and 2x^2y^2 & 6xy and 4xy^2.
You will get 12x^3y^3-24x^2y^3.
b. Factorization is not complete because 6xy is not the greatest common factor.
c. Complete factor: 12x^2y^3(x-2y).