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Alex_Xolod [135]
3 years ago
11

Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 1)A(2,1)A

, left parenthesis, 2, comma, 1, right parenthesis, B(5, 1)B(5,1)B, left parenthesis, 5, comma, 1, right parenthesis, C(5, 6)C(5,6)C, left parenthesis, 5, comma, 6, right parenthesis, and D(2, 6)D(2,6)D, left parenthesis, 2, comma, 6, right parenthesis. Given these coordinates, what is the length of side ABABA, B of this rectangle?

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0

Answer:

  3

Step-by-step explanation:

Points A and B lie on the horizontal line y = 1. The length of segment AB is then the difference of the x-coordinates of the points:

  5 -2 = 3

The length of side AB is 3 units.

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A(n)= 4 + (n - 1)(-5)<br> what’s the recursive formula
Elodia [21]

Answer:

A(1)=4

A(n)= A(n-1)-5

Step-by-step explanation:

Plug in 1 to see that a(1)=4. Then, find a few more using the given formula and see what the change is from one to the next. It ends up subtracting 5 for every value.

3 0
3 years ago
3.If ABCD is a parallelogram with AB = 2x + 1, AD = x + 13, and DC = 3x -11. Determine if ABCD is
madam [21]

Answer:

  ABCD is a rhombus

Step-by-step explanation:

Sides AB and DC are opposite and equal in parallelogram ABCD. This means ...

  AB = CD

  2x +1 = 3x -11

  12 = x . . . . . . . . add 11-2x to both sides

Sides AB and CD have length ...

  2x +1 = 2(12) +1 = 24 +1 = 25

Then the length of side AD is ...

  AD = x +13 = 12 +13 = 25

Adjacent sides AB and AD of the parallelogram have the same length, The figure is a rhombus.

3 0
2 years ago
Mr. Aleman is the treasurer for his local scouting troop. He makes a budget for the troop.He suggests that they spend 1/2 of the
kari74 [83]

Answer:

Answer: XII CCCXLV

Step-by-step explanation:

To convert 12,345 to Roman Numerals you have to take them apart into place values (ones, tens, hundreds).

Ten Thousands=10,000=X

Thousands=2,000=MM

Hundreds=300=CCC

Tens=40=XL

Ones=5=V

Step-by-step explanation:

7 0
3 years ago
I need help with #39-42, please explain.
shusha [124]

For question 39 & 40, we need to use the below equation to complete the sentence

l=m\sqrt{n}

Question 39:

When ' n ' increase, the \sqrt{n} will also increase and that multiplied with constant ' m ', the l will also increase.

Solution for question 39:

As n increases and m stays constant , l <u>increases</u>

-------

Question 40:

Solving the equation for m, we get

l = m\sqrt{n} \\ \\ m=\frac{l}{\sqrt{n}}

When ' l ' increases, the numerator increase, the denominator stays constant because 'n' stays constant, for this condition, the fraction increases.

Solution for question 40:

As l increase and n stays constant, m <em><u>increases</u></em>

------

For question 41 & 42, we need to use the below equation to complete the sentence

r=s^2/t^2

Question 41:

When s is triped, the equation will be...

r=(3s)^2/t^2=\frac{3^{2}s^{2}}{t^2}   =9s^2/t^2

Solution for question 41:

If s is tripled and t stays constant, r is multiplied by <em><u>9</u></em>

--------

Question 42:

When t is doubled, the equation will be...

r=s^2/(2t)^2=\frac{s^2}{2^2 \cdot t^2}=\frac{s^2}{4t^2}\\   \\ r=0.25s^2/t^2 \; \; (or) \; \; \frac{1}{4} \cdot \frac{s^2}{t^2}

Solution for 42:

If t doubled and s stays constant, r is multiplied by <em><u>1/4 or 0.25</u></em>


3 0
3 years ago
What’s the midpoint P(0,-2), Q(1,1
LiRa [457]

You would have to add x1 + x2 and divide by 2. do the same with y1 and y2.

(1/2,-1/2)

6 0
3 years ago
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