A rotation of a point on the coordinate system for 180 degrees about the origin results in (x, y) → (-x, -y).
Given that the coordinate of L is (2, 2), then the coordinates of L' is (-2, -2).
Given that the coordinates of N is (1, 6), then the coordinate of N' is (-1. -6)
Therefore, the <span>statements that are true regarding the transformation are:
</span><span>The rule for the transformation is (x, y) → (–x, –y).
</span>
<span>The
coordinates of L' are (–2,–2).
The coordinates of N' are (–1,–6).</span>
Answer:
24cm
Step-by-step explanation:
A^2 + B^2 = C^2 soo 10^ + B^ = 26^2 so 100 + B^2 = 676 subtract 100 from 676. Then take the square root of 576 and you’ll get 24. So B = 24cm
Perimeter (P) = 2L + 2w
68 = 2L + 2w
68 - 2L = 2w
2(34 - L) = 2(w)
34 - L = w
********************
Area (A) = L * w
240 = L (34 - L)
240 = 34L - L²
L² - 34L + 240 = 0
(L - 10)(L - 24) = 0
L = 10 or L = 24
w = 34 - L = 34 - 10 = 24 or w = 34 - 24 = 10
Answer: width = 10, length = 24 assuming length is bigger than the width
First :<span>Graph the solution set of the inequality
and interpret it in the context of the problem. For example: As a
salesperson, you are paid $50 per week plus $3 per sale. This week you
want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.
second:</span>
<span> Simplify using the inverse of addition or subtraction. Simplify further by using the inverse of multiplication or division.
then find what you want to use!
</span>
Answer:
1. Consistent independent.
2. Coincident
3. Inconsistent.
Step-by-step explanation:
4x + y = 8
x + 3y = 8 Multiply this equation by -4:
-4x - 12y = -32
Adding this to the first equation:
-11y = -24 giving y = -24/-11 = 2.18
Substituting in the first second equation:
x + 3(2.18) = 8 giving x = 1.46.
So this system of equations has roots (1.46, 2.18) and is consistent independent.
2.
-4x + 6y = -2
2x - 3y = 1 Multiply this by -2:
-4x + 6y = -2
So these 2 equations are the same and will give the same graph on the coordinate plane, and so has:
Infinite solutions and is coincident.
3.
5x - 2y = 4
5x - 2y = 6
We can see immediately that this system of equations has NO Solutions.
If we subtract the 2 equations we get:
0 = -2 which is of course, absurd.
Classification Inconsistent.
