Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′:

A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure ABCD has A at ordered pair negative 4, negative 2, B at negative 2, negative 3, C at negative 3, negative 4, D at negative 4, negative 4. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 2, A prime at 2, 3, C prime at 3, 4, D prime at 4, 4.
Which statement best compares the lengths of the sides of the two figures? (5 points)


Length of AB = Length of C′D′

Length of CD = Length of A′B′

Length of CD = Length of B′C′

Length of AB = Length of A′B′

Answer:

z=2

Step-by-step explanation:

When you subtract a negative, you are adding the number, so the question simplify into 14= z + 12, which is 2

Brainliest Maybe?

Answer:

Step-by-step explanation:

Absolute value inside the brackets will always be positive*

1. 7

2.15

3.0

4. -5

5.-3

6.3

7.17

8.5

9.-101

10.0

11.16

12.1

Hope this helped!

=====================================================

Explanation:

Since the range of [tex]y = \sqrt{x}[/tex] is [tex]y \ge 0[/tex], this means that [tex]\sqrt{53+20\sqrt{7}}[/tex] cannot be negative.

-----------------------------------

Let's set the given nested radical expression equal to the form a+b*sqrt(c), and then square both sides to see what happens

[tex]\sqrt{53+20\sqrt{7}} = a+b\sqrt{c}\\\\\left(\sqrt{53+20\sqrt{7}}\right)^2 = \left(a+b\sqrt{c}\right)^2\\\\53+20\sqrt{7} = a^2+2ab\sqrt{c}+b^2c\\\\53+20\sqrt{7} = (a^2+b^2c)+2ab\sqrt{c}\\\\[/tex]

Equating the corresponding parts shows that

[tex]53=a^2+b^2c \text{ and } 20\sqrt{7} = 2ab\sqrt{c}\\\\[/tex]

Therefore c = 7 must be the case to allow the radicands to match up.

-----------------------------------

Since c = 7, we can update the first equation like so

[tex]53=a^2+b^2c\\\\53=a^2+b^2*7\\\\53=a^2+7b^2\\\\[/tex]

We'll come back to this later.

-----------------------------------

Focus on [tex]20 = 2ab\sqrt{7}[/tex]

Note how 20 and 2ab are coefficients outside the root. So 20 = 2ab leads to ab = 10.

Here are all the ways to multiply to 10 where a,b are integers

So we could have these possibilities.

If you try all of those a,b combinations with [tex]53 = a^2 + 7b^2[/tex], then you should find that a = 5 and b = 2 works. I'm skipping a bunch of steps here. All you basically do is plug and chug.

Due to symmetry, we could have a = -5 and b = -2 as another solution to [tex]53 = a^2 + 7b^2[/tex]. However, if a < 0 and b < 0, then [tex]a+b\sqrt{c}[/tex] would be negative which contradicts the fact that [tex]\sqrt{53+20\sqrt{7}}[/tex] is positive. So we'll ignore any case where a,b are negative.

Therefore, the only combination that works is a = 5 and b = 2

-----------------------------------

Overall, we found that

And therefore,

[tex]\sqrt{53+20\sqrt{7}} = a+b\sqrt{c}\\\\\sqrt{53+20\sqrt{7}} = 5+2\sqrt{7}\\\\[/tex]

You can confirm this with your calculator by taking advantage of the idea "If x = y, then x-y = 0". In other words, if you subtract the left and right sides, you should get 0 as a result (the order of subtraction doesn't matter in this case). Don't forget to use parenthesis correctly, or you may not get 0. It might help to think of it as the form (x) - (y) = 0.

After we confirmed we have the correct a,b,c values, we simply add them up to get a+b+c = 5+2+7 = 14.

Answer:

36 books in 12 weeks

Step-by-step explanation:

All you have to do is multiply 3 books a week by 12 weeks....

1 week 3b 7 weeks 21b

2 weeks 6b 8 weeks 24b

3 weeks 9b 9 weeks 27b

4 weeks 12b 10 weeks 30b

5 weeks 15b 11 weeks 33b

6 weeks 18b 12 weeks 36b

Answer:

a

Step-by-step explanation:

The answer is A

It is a because it is the only one that does the math correctly.

Answer:

yes

Step-by-step explanation:

Correct-a-mundo !

4000 * .06 * 5 = 1200

Answer:

About 45 pens would be bought

GIVEN,

3 pens can be bought for 65 cents

☞TO FIND

The number of pens that can be bought for $9.75

ANSWER

$9.75 = 975 cents

Therefore the number of pens that can be bought for $9.75 is,

[tex] \frac{975}{65} \times 3 \\ = 15 \times 3 \\ = 45[/tex]

So 45 pens can be bought

Answer:

eh free points meh dude

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

Answer:

what is the question

Step-by-step explanation:

Answer:

80.027

Step-by-step explanation:

139.65 - 59.623= 80.027

hope this helps!

Answer:

B, A, C

Step-by-step explanation:

it shouldve been B then A then C

Answer:

Ted is 14 years old, and Ed is 21 years old.-B

Step-by-step explanation:

Answer:

they forgot to add the 3x

Step-by-step explanation:

Answer:

Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.

Step-by-step explanation:

Answer:

Player 1's position is Player 2's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.

Since you flip across the grid you would get the same coordinates but the number things would be answer blah blah blah

listen I know this is the answer I don’t have to explain myself.

Answer:

$33.30

Step-by-step explanation:trust mee

Answer:

y=3x+16

Step-by-step explanation:

If you turn the equation into slope point form you can then evaluate and simplify it to get y=3x+16

Answer:

[tex]a-(-b)>a[/tex]

Step-by-step explanation:

ok so lets round  =-3 and b=2

ok so now lets solve -3-(-2)=-3+2

remember when you subtract a negative it is just like adding

so -3+2=-1 and -1 is greater than -3

i hope this helps

Answer:

a=7

Step-by-step explanation:

Answer:

x/13.5 feet = 12 inches/1 foot

So, the answer would be

162 inches/13.5 feet = 12 inches/1 foot

Answer:

5

Step-by-step explanation:

The question says a proportional relationship, of not stated otherwise, this means a directly proportional relationship, where,

y=kx

Now if, k=1, substituting in the equation would give,

y=x,

Therefore, whatever the value of x is, so is that the value of y,

thus, if x=5,

y=5

Answer:

i think it is 15,840 because if you multiply 3 by 5,280 you will get 15,840

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x+2.5+3(x-4)

2x+10+3(x-4)

2x+10+3x+3.-4

2x+10+3x-12

5x+10-12

5x-2