If trapezoid JKLM is translated according to the rule (x, y) → (x + 8, y − 3), what are the coordinates of point L'?

Answers

Answer 1
Answer:

The coordinate of point L' after translation is L'(6, -8)

Translation of coordinates

Given the coordinates of JKLM as J(-7,-2), K(-4,-2), L(-2,-5) and M(-9,-5)

Using the translation rule

(x, y) → (x + 8, y − 3)

The coordinate of point L' after translaton will be;

L' = (-2+8, -5-3)
L' = (6, -8)

Hence the coordinate of point L' after translation is L'(6, -8)

Learn more on translation here: brainly.com/question/12861087

Answer 2
Answer: Another answer: According to the figure, the coordinates of JKLM are, J(-7,-2), K(-4,-2), L(-2,-5) and M(-9,-5) JKLM is translated to J'K'L'M' by means of the rule (x+8, y-3), we should know that (x, y) are coordinates of the pre image, to find the coordinates of each image we have (x', y') such that x' =x+8, and y' =y-3. Therefore, the coordinates of L' can be found by L'(-2+8, -5-3)=(6, -8) the final answer is L'(6, -8).

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A line in the Cartesian plane passes through the points (–2, 4) and (2, –1). What are the rise and the run of the line?a. The rise is –5, the run is 4.
b. The rise is –4, the run is –5.
c. The run is –5, the rise is 4.
d. The run is 4, the rise is 5.

Answers

Answer: a. The rise is –5, the run is 4.


Step-by-step explanation:

Given :- A line in the Cartesian plane passes through the points (–2, 4) and (2, –1)

Let (x_1,y_1)=(-2,4) and (x_2,y_2)=(2,-1)

We know that rise of a line = vertical change of points=change in the coordinates of y

=y_2-y_1=-1-4=-5

Run of line=horizontal change of points=change in the coordinates of x

=x_2-x_1=2-(-2)=2+2=4

Therefore, The rise is –5, the run is 4.

Hello,

C is the good answer.

Δy=-1-4=-5 is the rise

Δx=2+2=4 is the run.

Find the width of a rectangle with a perimeter of 90 and a length of 15.A.90
B.15
C.45
D.30
I really need help.

Answers

A rectangle has 2 sets of equal parallel lines. And we know one of the sides is 15.
So we know two of the sides have to be 15. Right?

So that means 15 x 2 = 30

So we know that two of the sides add up to equal 30.

The entire perimeter is 90. Well we've used 30 so lets see how much we have left to use.

90(the entire perimeter) - 30(the amount we know) = 60(what we have left)

So the last two sides of the rectangle equal 60, since there are two sides, let's divide the remaining perimeter by 2

60(both of the sides) / 2(the last 2 sides that we haven't found the length for yet) = 30

So now we know all of the sides.

Let's read the question again now.

"Find the 'WIDTH' of a rectangle with a perimeter of 90 and a 'LENGTH' of 15"

So it's 15 long(length), and 30 wide(width)

If this doesn't help, I can draw a picture and it mights make some more sense :)

Final answer:

The width of the rectangle is 30 units.

Explanation:

To find the width of a rectangle, we need to use the formula for the perimeter of a rectangle, which is 2(length + width). In this case, we are given the perimeter as 90 and the length as 15. Plugging these values into the formula, we get: 90 = 2(15 + width).

Now we can solve for the width. First, simplify the equation: 90 = 30 + 2(width).

Then, subtract 30 from both sides: 60 = 2(width). Divide both sides by 2 to isolate the width: width = 30.

Therefore, the width of the rectangle is 30 units.

Learn more about Width of a rectangle here:

brainly.com/question/27065494

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Three fourths of a number decreased by nine is at least forty-two. As an inequality.

Answers

Answer

x ≥ 68


Explanation

let that number be x.

(3/4) of x = (3/4) × x

                = 3x/4

Decrease 3x/4 by 9,

3x/4 - 9

This expression is at least 42,

∴ 3x/4 - 9  ≥ 42

   3x - 36 ≥ 168

    3x ≥ 168 + 36

    3x ≥ 204

      x ≥ 68


(3x/4) - 9 > 42

that > should be underlined to get the "or equal" in there

What is the height of a rectangular prism with a base of 147cm and a volume of 1323cm

Answers

What is the meaning of science

Factor the expression: 2n³ + 22n² + 60n

Answers

Answer:

2n(n + 5)(n + 6)

Step-by-step explanation:

given the expression

2n³ + 22n² + 60n ← factor out the common factor of 2n from each term

= 2n(n² + 11n + 30) ← factorise the quadratic

consider the factors of the constant term (+ 30) which sum to give the coefficient of the n- term (+ 11)

the factors are + 5 and + 6 , since

+ 5 × + 6 = + 30 and 5 + 6 = + 11

use these factors to split the n- term

n² + 5n + 6n + 30 ( factor the first/second and third/fourth terms )

= n(n + 5) + 6(n + 5) ← factor out (n + 5) from each term

= (n + 5)(n + 6)

Then

2n³ + 22n² + 60n

= 2n(n + 5)(n + 6) ← in factored form

12x a y b ÷ (-6x a y)

Answers

Answer:

(12xay)/(-6xay) \n = -2b is the answer

Step-by-step explanation:

(12xay)/(-6xay) \n

here we can see that we can cancel common terms from  both numerator and denominator . 12 is divided by 6 we get 2 and x ,a and y are cancelled from the denominator .Only b is left in the numerator .

so final answer is -2b.

12x a y b ÷ (-6x a y)
Answer is -2b