Find the image of the point (5,3) after a 90 degree counterclockwise rotation

Answers

•(3,-5)
•(-3,-5,)
•(-3,5)
•(5,-3)

Answer:

y = [tex]\frac{1}{x}[/tex]

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 3 when x = [tex]\frac{1}{3}[/tex] , then

3 = [tex]\frac{k}{\frac{1}{3} }[/tex] ( multiply both sides by [tex]\frac{1}{3}[/tex] )

3 × [tex]\frac{1}{3}[/tex] = k

1 = k

y = [tex]\frac{1}{x}[/tex] ← equation of variation

Answer:

We have this equation:

[tex]3(y+3)+7(2y-8)-(y-1)=0​[/tex]

First, we do the parenthesis:

[tex]3y+9+14y-56-(y-1)=0\\[/tex]

When there is a minus (-) in front of a parenthesis, all signs change inside it:

[tex]3y+9+14y-56-y+1)=0\\[/tex]

Now we operate:

[tex]16y-46=0[/tex]

We add 46 on both sides:

[tex]16y - 46 + 46 = 0 +46[/tex]

[tex]16y = 46[/tex]

And divide 16 on both sides:

[tex]\frac{16y}{16}=\frac{46}{16}[/tex]

[tex]\bol{x = \frac{46}{16}}[/tex] = [tex]\frac{23}{8}[/tex]

Answer:

Step-by-step explanation:

3(y+3)+7(2y-8)-(y-1)=0​

3y + 9 + 14y - 56 - y + 1 = 0

16y - 46 = 0

16y - 46 + 46 = 0 + 46

16y = 46

16y/16 = 46/16

y = 23/8

Answer:

14 years

Step-by-step explanation:

To find the answer you have to use the formula to calculate time:

t=(1/r)(A/P-1), where:

t=time

r=rate of interest=4.6%

A=accrued amount=$328.80

P=principal amount=$200

t=(1/0.046)*(328.80/200-1)

t=21.74*(0.644)

t=14

According to this, the answer is that she opened the bank account 14 years ago.

Answer:

[tex]5x= 15[/tex]

Step-by-step explanation:

Given

[tex]3x - 5 = -2x +10[/tex]

Required

Write the variables and constants on different sides

[tex]3x - 5 = -2x +10[/tex]

Add 2x to both sides

[tex]2x + 3x - 5 =2x -2x +10[/tex]

[tex]5x - 5 =10[/tex]

Add 5 to both sides

[tex]5x - 5 + 5 = 10 + 5[/tex]

[tex]5x= 10 + 5[/tex]

[tex]5x= 15[/tex]

Hence, the equation is

[tex]5x= 15[/tex]

Solving further [divide both sides by 5]

[tex]x = 3[/tex]

I think it is -5=x

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]8+9\div3\times6-5\\= 8+9\div \:3\times \left(6-5\right)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(6-5\right)\::\quad 1\\=8+9\div \:3\times \:1\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:9\div \:3\times \:1\::\quad 3\\=8+3\\\\= 11[/tex]

[tex]5+3-8\div \:4-2\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:8\div \:4\::\quad 2\\=5+3-2-2\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:5+3-2-2\::\quad 4\\=4[/tex]

[tex]\left(5+3\right)-8\div \:4-2\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5+3\right)\::\quad 8\\=8-8\div \:4-2\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:8\div \:4\::\quad 2\\=8-2-2\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:8-2-2\::\quad 4\\=4[/tex]

Answer:

-75 meters

Step-by-step explanation:

First, subtract 15 from 50, since it is going up:

50 - 15

= 35

Then, add 40, since it is going back down:

35 + 40

= 75

So, the new position is -75 meters relative to sea level

First condition of submarine=50 m below the sea=-50 m

It goes up 15 m, that means we must add up 15 m.

-50 m+15 m=

15 m-50 m=-35 m (35 m below the sea)

And, then goes down 40 m, so we subtract it with 40 m.

-35 m-40 m=-75 m (75 m below the sea)

So, the right answer is 2. (-75 meters)

Thank you.

Answer:

Rational number

Step-by-step explanation:

Rational is the only one that repeat.

Answer: [tex]3x^6+x^5-x^4-6x^3+x^2+3x-1[/tex]

Step-by-step explanation:

 (3x^2+x-1)(x^4-2x+1)

=3x^6-6x^3+3x^2+x^5-2x^2+x-x^4+2x-1

=3x^6+x^5-x^4-6x^3+x^2+3x-1

Hope this helps!! :)

Please let me know if you have any question

Answer:

the thing below xd

Step-by-step explanation:

[tex](3x^{2} +x-1)(x^4-2x+1)\\\\=3x^2(x^4-2x+1)\\+x(x^4-2x+1)\\-1(x^4-2x+1)\\\\=3x^6-6x^3+3x^2\\+x^5-2x^2+x\\-x^4+2x-1\\\\=3x^6+x^5-x^4-6x^3+(3-2)x^2+(1+2)x-1\\\\=3x^6+x^5-x^4-6x^3+x^{2} +3x-1[/tex]

Answer:

El costo es:

Primero tenemos un cargo fijo de $140.

Luego tenemos un $25 por cada m^3 consumido.

Entonces, si tenemos x m^3 consumidos en un mes, el cargo de ese mes va a ser:

C(x) = $140 + $25*x.

Esto es una relación linear.

A) En este caso tendríamos x = 140

C(140) = $140 + $25*140 = $3640

B) La formula es, como ya escribimos arriba, C(x) = $140 + $25*x.

C) El grafico estará al final.  En el podemos ver que la linea corta el eje vertical en y = $140, que seria lo minimo que se puede pagar al mes, en el caso de que el consumo sea x = 0.

D) La ordenada al origen es $140, representa el cargo fijo que no depende de la variable x.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

So there are five candy bars.

Herself and two sisters equals 3 people in total.

This is a graph of 5 candy bars, each line being 1/2.

━ ━

━ ━

━ ━

━ ━

━ ━

If she ate half of one... the graph would become this.

━ ━

━ ━

━ ━

━ ━

━

Now there are 9 halves. You need to split the 9 halves for 3 people. 9 divided by 3 is 3.

Each person gets 3 halves, or 1 and 1 half.

Mai: ━ ━ ━

Sister 1: ━ ━ ━

Sister 2: ━ ━ ━

Altogether that is 9 halves, AKA the number of halves Mai had after she ate 1/2.

The amount Mai ate in the first place: ━

9 halves plus 1 half, equals 10 halves. Each whole has 2 halves. 10 divided by 2 is 5, AKA the number of candy bars she had in the first place.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

Add 5 to both sides.

Step-by-step explanation:

3.7 = x + (-5)

3.7 + 5 = x + ( -5) + 5

5 cancels on the right

8.7 = x

The correct step to solve an equation is add 5 to both sides. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3.7=x+(-5).

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 3.7=x-5

Add 5 to both sides of an equation, we get

3.7+5=x-5+5

x=8.7

The correct step to solve an equation is add 5 to both sides. Therefore, option B is the correct answer.

To learn more about the solution of an equation visit:

https://brainly.com/question/14506845.

#SPJ5

Answer:

Step-by-step explanation:

1). [tex]a^{3}\times a^5=a^8[/tex]

2). [tex](a^3)^3[/tex] = [tex]a^{9}[/tex]

3). [tex]\frac{a^{10}}{a^3}=a^{10-3}=a^7[/tex]

4). [tex]\frac{a^2}{a^7}=\frac{1}{a^{7-2}}=\frac{1}{a^5}[/tex]

5). [tex]\frac{a^5\times a^2}{a^7}=\frac{a^{5+2}}{a^7}=1[/tex]

6). [tex]\frac{16a^5b^3}{8a^2b}=(\frac{16\times 5}{8})(\frac{a^5}{a^2})(\frac{b^3}{b})[/tex]

              [tex]=\frac{80}{8}(a^{5-2})(b^{3-1})[/tex]

              = 10a³b²

7). [tex]\frac{2a^3b^3}{2b^2}=(\frac{2}{2})(a^3)(\frac{b^3}{b^2})[/tex]

             = a³b

8). [tex](\frac{a^{-8}}{b^{11}})^{-2}=(\frac{b^{11}}{a^{-8}})^2[/tex]

                 [tex]=(b^{11}a^8)^2[/tex]

                 = [tex]a^{16}b^{22}[/tex]

9). [tex]\frac{(2a^3)(a^4)^2}{8a^{11}}=(\frac{2}{8})(\frac{1}{a^{11-3}})(a^4)^2[/tex]

                   [tex]=\frac{1}{4}(\frac{a^8}{a^8})[/tex]

                   [tex]=\frac{1}{4}[/tex]

10). [tex]\frac{5a^7b^2}{15a^{10}b^{-3}}=(\frac{5}{15})(\frac{a^7}{a^{10}})(b^{2+3})[/tex]

                   [tex]=\frac{1}{3}(\frac{b^5}{a^3} )[/tex]

                   [tex]=\frac{b^5}{3a^2}[/tex]

11). 3a⁰ = 3(1) = 3

12). (a²b)⁴ = (a²)⁴(b)⁴

                = a⁸b⁴

Answer:

Let x be the number of silver medals.

As there were two more gold medals than silver ones, gold medals are x+2

We also know that the number of bronze medals was 4 less than the sum of gold and silver, so if there are x + 2 of gold and x of silver, there are x+x+2-4 of bronze.

Now, we can do an equation, as we know there were a total of 28 medals:

x + x + 2 + x + x + 2 - 4 = 28

And we isolate x:

4x = 28

x = 28/4 = 7

There were 7 silver medals, so there were 9 gold ones (7-2) and 12 of bronze (9+7-4).

The number of Gold, Silver and Bronze medals are 9, 7 and 12 respectively.

Let the number of silver medals = s

Let the number of good medals = s + 2

Let the number of bronze medals = 2s - 2

Total medals = 28

Therefore, the value for each medal will be:

s + s+2 + 2s-2 = 28

Collect like terms

4s = 28 - 2 + 2

4s = 28

s = 28/4 = 7

Silver medals = 7

Gold medals = s + 2 = 7 + 2 = 9

Bronze medals = 2s - 2 = 2(7) -2 = 14 - 2 = 12

Read related link on:

https://brainly.com/question/16784592

Answer:

It will change the x by -1 and the y by +6

Step-by-step explanation:

Translating is sliding a shape up or down, thus coordinates will be changed

Answer:

X = 5

Step-by-step explanation:

3x + 12 + 9x = 72

okay hopefully i can explain so when your doing this combine like terms so

3x + 9x = 12x

12x + 12 = 72

then you would subtract both sides by 12

+12 = subtract x+12=2

- 12 = add x-12=2

there just flipped so in this case i would subtract 12

12x + ( 12-12) = ( 72-12 )

so 12-12 = 0 and 72-12 is equal to 60

12x = 60

the divide on both sides l but leave the x alone so its just 60 divided by 12 wich is 5

so X = 5

hope this helps with ur homework a little btw go back and redo ur other awnsers with this new concept hope it helps

Answer:

Option 3

Step-by-step explanation:

AX and XB are congruent because we know that CD is a perpendicular bisector of AB.

The word "bisector" indicates that AB is cut into two equal parts, which allows us to make that claim.

<AXC≅<BXC because they are both equal to 90 degrees. This is because perpendicular means that the two lines are meeting at a 90-degree angle. Since both of them are 90 degrees, they are congruent.

Lastly, we know that XC ≅ XC since they are the same side.

With that in mind, we are able to prove that triangle AXC and BXC are congruent by SAS or side angle side. (The angle is between the two sides)

The correct choice would be option 3.

Answer:

6

Step-by-step explanation:

The opposite of -3 is 3. Opposite numbers are numbers that when added, sum to 0. The distance between 3 and -3 is |3 - (-3)| = |3 + 3| = |6| = 6.

Answer:

Volume of a cylinder=1/2πr^2h.

1/2×3.142×10^2×5.

1/2×3.142×100×5.

1/2×1571

=785.5

Answer:

About 1570.8

Step-by-step explanation:

Start by looking at the equation for solving a cylinder, which is V = π x r² x h. Since r = radius (5) and h = height (10), you add those numbers into the equation. Now you have to solve V = π x 5² x 10, which will get you your repeating decimal of 1570.79633...which then can be rounded your answer of 1570.8.

Answer:

100 minuets aka 1 hour and 40 minuets

Step-by-step explanation:

It would be 100 because 500÷5=100

Answer:

5.5

Step-by-step explanation:

The lowest temperature ever recorded on Earth is =-94.7

Before this date, the previous record was at= -89.2

the difference between these two extreme temperatures=-89.2-(-94.7)

                                                                                              =-89.2+94.7

                                                                                              =5.5

The difference between these two extreme temperatures is 5.5

Answer:

5.48

Step-by-step explanation:

Given length of three strings:

[tex]\text{Length of first string}, L_1=7.68\ inches\\\text{Length of second string}, L_2=3.9\ inches\\\text{Length of third string}, L_3=2.2\ inches[/tex]

To find:

The difference in length between the longest and the shortest string?

Solution:

First of all, let us compare the given three decimal numbers.

We check the number before decimal first of all.

We can see that the numbers are 7, 3, and 2.

7 being the largest [tex]L_1[/tex] is the longest string.

2 being the smallest [tex]L_3[/tex] is the shortest string.

So, the difference is:

[tex]L_1-L_3=7.68-2.2\\\Rightarrow \bold{L_1-L_3=5.48 }[/tex]

So, the answer is 5.48.

Answer:

4x+2=22

4x+2-2=22-2

4x=20

4x/4=20/4

x=5

answer:

A.7/5 is the correct answer because numerator is more than denominator.

thank me plz

Answer:

the answer is A

Step-by-step explanation:

Answer:

√2, pi.

Step-by-step explanation:

An irrational number cannot be written as a fraction a/b where a and b are integers ( not = 0)..

Answer:

the average cost if you go to ten classes plus the 200 plus 100 it will equal 300

Step-by-step explanation:

200 annual fee then 10+10+10+10+10+10+10+10+10+10 equal 100   so 200+100 equal 300 for the 10 classes plus the annual fee.

Answer:

GCF-12

Step-by-step explanation:

Find the prime factorization of 84

84 = 2 × 2 × 3 × 7

Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 3

GCF = 12

Answer: The GCF is 12

Step-by-step explanation:

84=2*2*3*7

120=2*2*2*3*5

So, the GCF is 2*2*3=12

Answer:

x⁴-32x³+384x²-2048x+4100

Step-by-step explanation:

f(g(x))= g(x)⁴+4

and simplify it

|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

Answer:

The monthly disability benefit is $2580

Step-by-step explanation:

Given

[tex]Final\ Salary\ (P) = \$43000[/tex]

[tex]Age = 52[/tex]

[tex]Benefit\ Rate (R) = 2\%[/tex]

Worked = 26 years

Expected = 62 years

Required

Determine the monthly disability benefit

First, we need to determine the years (T) left for her to work;

[tex]T = Expected - Worked[/tex]

[tex]T = 62 - 26[/tex]

[tex]T = 36[/tex]

Next, is to calculate the yearly disability benefit as follows;

[tex]Benefit = PRT[/tex]

Substitute 36 for T, 2% for R and 43,000 for P

[tex]Benefit = 43000 * 2\% * 36[/tex]

Convert percentage to decimal

[tex]Benefit = 43000 * 0.02 * 36[/tex]

[tex]Benefit = 30960[/tex]

There are 12 months in a year;

So; Monthly Benefit is as follows;

[tex]Monthly = \frac{30960}{12}[/tex]

[tex]Monthly = \$2580[/tex]

Hence, the monthly disability benefit is $2580