If you drew the image of this figure under a 90\circ∘ clockwise rotation using center P, (0,0), what would be the coordinates of the vertices?

Step-by-step explanation:

y = ax +b

2 = 0a+ b => b = 2

4 = -2a + b

4 = -2a +2

2a = 2-4

2a = -2

a = -1

so, y = -x + 2

Answer:

a. y=(-9)^2+3=81+3=84

y=square root of -9-2=3i-2

b. He cannot with the first but he can with with second. For the first, we have 0=x^2+3. Then subtract 4 from each side and get -3=x^2. This isn't possible in a theoretical term. For the second, you have 0=square root of x -2 or 2=square root of x. That means x is 4.

Answer:

brainliest is appreciated

Answer:

box = 30

Step-by-step explanation:

You could set this up very formally as a proportion. It would look like this.

1/5 = 6/x

Now all you have to do is cross multiiply.

1*x = 5 * 6

x = 30

So the answer that goes in the box is 30

Or you could just say to yourself. "The 1 was multiplied by 6. What do I have to multiply the 5 by to keep the ratio the same?"

The answer is 6

6 * 5 = 30

In higher math you are going to want to use the first method.

Answer:

a and c i think

Step-by-step explanation:

Well let's say that to compare these two numbers, we have to start with the definition first.

Definition

[tex] \displaystyle \large{ {y}^{2} = x} \\ \displaystyle \large{ y = \pm \sqrt{x} }[/tex]

Looks like we can use any x-values right? Nope.

The value of x only applies to any positive real numbers for one reason.

As we know, any numbers time itself will result in positive. No matter the negative or positive.

Definition II

[tex] \displaystyle \large{ {a}^{2} = a \times a = |b| }[/tex]

Where b is the result from a×a. Let's see an example.

Examples

[tex] \displaystyle \large{ {2}^{2} = 2 \times 2 = 4} \\ \displaystyle \large{ {( - 2)}^{2} = ( - 2) \times ( - 2) = | - 4| = 4}[/tex]

So basically, their counterpart or opposite still gives same value.

Then you may have a question, where does √-1 come from?

It comes from this equation:

[tex] \displaystyle \large{ {y}^{2} = - 1}[/tex]

When we solve the quadratic equation in this like form, we square both sides to get rid of the square.

[tex] \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{ - 1} }[/tex]

Then where does plus-minus come from? It comes from one of Absolute Value propety.

Absolute Value Property I

[tex] \displaystyle \large{ \sqrt{ {x}^{2} } = |x| }[/tex]

Solving absolute value always gives the plus-minus. Therefore...

[tex] \displaystyle \large{ y = \pm \sqrt{ - 1} }[/tex]

Then we have the square root of -1 in negative and positive. But something is not right.

As I said, any numbers time itself of numbers squared will only result in positive. So how does the equation of y^2 = -1 make sense? Simple, it doesn't.

Because why would any numbers squared result in negative? Therefore, √-1 does not exist in a real number system.

Then we have another number which is -√1. This one is simple.

It is one of the solution from the equation y^2 = 1.

[tex] \displaystyle \large{ {y}^{2} = 1} \\ \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{1} } \\ \displaystyle \large{ y = \pm \sqrt{1} }[/tex]

We ignore the +√1 but focus on -√1 instead. Of course, we know that numbers squared itself will result in positive. Since 1 is positive then we can say that these solutions exist in real number.

Conclusion

So what is the different? The different between two numbers is that √-1 does not exist in a real number system since any squared numbers only result in positive while -√1 is one of the solution from y^2 = 1 and exists in a real number system.

Answer:

Therefore [tex]\sqrt{1} \neq -\sqrt{1}[/tex]

Step-by-step explanation:

[tex]\sqrt{-1} \\[/tex] cannot be calculated as no two identical numbers that are multiplid could give -1. However - [tex]\sqrt{1}[/tex] means -1 x [tex]\sqrt{1}[/tex] = -1 x 1 = -1 . Therefore [tex]\sqrt{1} \neq -\sqrt{1}[/tex]

Answer:

A and B are irrational

Step-by-step explanation:

A cannot be reduced to a whole number.

same with B.

C can be reduced to 9 as 9x9 = 81

D can be reduced to 8 as 8x8 = 64

Answer:

21/5

Step-by-step explanation:

Answer:

1 [tex]\frac{1}{40\\}[/tex]

Step-by-step explanation:

i hope this helps :0

i think that is is the second

Answer:

a.  0.15x

b.  40+0.05x

c. 0.15x=40+0.05x

15x=4000+5x

x=400 min

Answer:

1. 245 = 5 × 7 × 7

2. 510 = 2 × 3 × 5 × 17

3. 250 = 2 × 5 × 5 × 5

4. 1089 = 3 × 3 × 11 × 11

5. 4725 = 3 × 3 × 3 × 5 × 5 × 7

6. 900 = 2 × 2 × 3 × 3 × 5 × 5

18. 27000 = 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5

Answer:

60;100

Step-by-step explanation:

Multiply 10 each side

Answer:

No of cars without sunroof=18

Total no of cars=18+8=26

Now,the ratio of cars without sunroof to total no of cars=18÷26

= 9÷13

Answer:

The answer's below :)

Hope this helps <3

Answer:

[tex]2 ^{ - 2} \\ \frac{1}{2 ^{2} } \\ ( \frac{1}{2} ) ^{2} [/tex]

I hope it helped U

stay safe stay happy

Answer:

1/2^2

Step-by-step explanation:

When you have a number to a negative power, you can rewrite it inverting it's fraction and changing the signal of the power. 2 can be wrote as a fraction like 2/1, so you have 2^-2, it's like 2^-2/1, so you invert the fraction and the signal of the power, and have 1/2^2

Answer:

12:16 and 6:8

Step-by-step explanation:

12:16 = 3 * 4:4 * 4

6:8 = 3 * 2:4 * 2

The answer is 12:16

If helpful, Branliest please!

Answer:

uhh i think the 2nd and the very last one

Step-by-step explanation:

sorry if its wrong

Answer:

it would be the last one

Step-by-step explanation:

hope it helps

Answer:

it would be the second one

Step-by-step explanation:

in a fraction it doesn't matter if the numerator has a - sign or the denominator does they are the same. for example: -2/3 is the same as 2/-3

Answer:36 times for 8 dollars

Step-by-step explanation:

k so first you divide 54 and 12 =4.5 per dollar so you then multiply 4.5 and 8 to get the answer that =36 times for 8 dollars

Answer:

she used about 2 gallons for her dining room

Step-by-step explanation:

she used a combined amount of 3 gallons in the other areas of the house so that left 2 gallons for the dining room

Answer:

B. 2 gallons

Step-by-step explanation:

[tex]5\frac{1}{4} -1\frac{1}{4}\\=4-1\frac{1}{8}\\=2\frac{7}{8}\\2\frac{7}{8}-\frac{3}{4}=2\frac{1}{8}\sim2[/tex]

Answer:  2 x 2 x 2 x 2 x 2 x 5 x 5

Explanation:

We start with the string 2 x 2 x 2 x 2 x 5 x 5

Then we tack on a "2 x" up front, or at the very left, so that we double the result. This is because the jump from 400 to 800 is "times 2".

So we go from 2 x 2 x 2 x 2 x 5 x 5 to 2 x 2 x 2 x 2 x 2 x 5 x 5

We can condense this into [tex]2^5*5^2[/tex]

Answer:

only A & C possible

Step-by-step explanation:

the sum total of the two smallest sides should be bigger than the third.

the sum total of the three interior angles should be 180 degree

Hi

to progress in math, you must : know by heart the rules and formulas then train.

rule : a ( b+c ) = a*b + a*c.

this propertie is call distributivity .

so we have : 6 ( 9+5X)

here : a = 6

b = 9

c = 5X

so 6 ( 9+5X) = ?

I let you have a shot. Ask in comments section if you are stuck. But try first !

Answer:

1) rearrange terms:

6(9 + 5x) = 54

6(5x + 9) = 54

2) Distribution :

6(5x + 9) = 54

30x + 54= 54

3) subtract 54 from both side:

30x + 54 = 54

30x + 54 - 54 = 54 - 54

4) Simplify: subtract the numbers

30x = 0

5) Divide both side of the equation by the same term:

30x = 0

30x√30 = 0√30

6) Simplify: cancel term that are in the both numerator and denominator

x = O√30

solution :

x = 0]

Answer: Choice b) [tex]x \ge 120[/tex]

The graph will involve a closed filled in circle at 120, with shading to the right.

See the diagram below.

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

Explanation:

The phrasing "at least" means "that amount or more".

Saying "at least 120" is the same as "120 or more".

Therefore, x = 120 is the smallest x can be. That's why we go for [tex]x \ge 120[/tex] which says that either x = 120 or x > 120.

Visually, we'll plot a closed filled in circle at 120 on the number line. The shading will aim to the right to indicate all values larger than 120. The closed/filled in circle is to represent we include 120 (as opposed to an open circle where we exclude it).

Due to the fact that your teacher gave you a blank number line, the placement of 120 doesn't really matter.

Answer:

x<-7

Step-by-step explanation:

4 − (x + 2) < −3(x + 4)

4 − x - 2< −3x - 12

14 < - 2x

x<-7

Answer and Step-by-step explanation:

First, we need to solve both sides of the equation.

Distribute the negative to the x and the 2.

4 - x - 2 < -3(x + 4)

Distribute the -3 to the x and the 4.

4 - x - 2 < -3x - 12

Combine like terms.

2 - x < -3x - 12

Add 12 to both sides of the equation.

12 + 2 - x < -3x - 12 + 12

14 - x < -3x

Add x to both sides of the equation.

14 - x + x < -3x + x

14 < -2x

*Divide both sides of the equation by -2, and flip the sign.

-7 > x

-7 > x is the answer.

*How this works:

When we flip the sign, we really are just saving ourselves an extra step when dividing numbers (that are negative, only works when number is negative).

14 < -2x

If we were to add to x, and subtract 14, it will look like this:

2x < -14

Then when we divide by 2, we get:

x < -7

This is the same result, but it takes an extra step. Use this way if you forget why you need to flip the sign when dividing by a negative number.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

3(x-5)+1=2+x

3x-15+1=2+x

3x-x=2+15-1

2x=16

x=8

Answer:

x=8

Step-by-step explanation:

3(x-5)+1=2+x

Subtract 1 from both sides.

3(x-5)=1+x

Distribute the 3

3x-15=1+x

Add 15 to both sides.

3x=16+x

Subtract x from both sides.

2x=16

Divide both sides by 2.

x=8

I hope this helps!

pls ❤ and mark brainliest pls!

Answer: 5

Step-by-step explanation:

(-1)(-1)(-1)(-5)=

(-1)(-5)=5

Answer: 5

Explanation: You would need to evaluate & simplify the expression.