Point T is reflected over the y-axis. Determine the coordinates of its image.
T (2,5)
O (2,-5)
O (2,5)
O (-2,-5)
O (-2,5)

Answer:

40 degrees

Step-by-step explanation:

This is a 40 degree angle

Hope this helps!

Answer:

Step-by-step explanation:

You can use synthetic division method.

P(x) =x² + x  - 2

(x + 2) is a factor.

Image attached.

Answer:

1)6.000

2)8.935.600

5)70.000

4)2.509.200

7)6.000

8)9.000

10)5.800

11)6.900.000

13)5.000

14)2.000

16)5.000

17)6.400

Step-by-step explanation:

if you a line on the  numbers you will see it easy

Answer:

3.374

Step-by-step explanation:

[tex]\mathrm{Write\:the\:numbers\:one\:under\:the\:other,\:line\:up\:the\:decimal\:points.}[/tex]

[tex]\mathrm{Add\:trailing\:zeroes\:so\:the\:numbers\:have\:the\:same\:length.}[/tex]

[tex]\begin{matrix}\:\:&5&.&3&1&6\\ -&1&.&9&4&2\end{matrix}[/tex]

[tex]\mathrm{Subtract\:each\:column\:of\:digits,\:starting\:from\:the\:right\:and\:working\:left}[/tex]

[tex]\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:6-2=4[/tex]

[tex]\frac{\begin{matrix}\:\:&5&.&3&1&\textbf{6}\\ -&1&.&9&4&\textbf{2}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\textbf{4}\end{matrix}}[/tex]

[tex]\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}[/tex]

[tex]\frac{\begin{matrix}\:\:&5&.&3&\textbf{1}&6\\ -&1&.&9&\textbf{4}&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{\:\:}&4\end{matrix}}[/tex]

[tex]\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number.\:\:Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}[/tex]

[tex]\mathrm{The\:top\:digit\:is\:not\:bigger\:than\:the\:bottom\:one.\:\:Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}[/tex]

[tex]\frac{\begin{matrix}\:\:&5&.&\textbf{3}&1&6\\ -&1&.&\textbf{9}&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{\:\:}&\:\:&4\end{matrix}}[/tex]

[tex]\mathrm{Borrow\:}1\mathrm{\:from\:}5\mathrm{.\:\:The\:remainder\:is\:}4[/tex]

[tex]\frac{\begin{matrix}\:\:&\textbf{4}&\:\:&10&\:\:&\:\:\\ \:\:&\textbf{\linethrough{5}}&.&3&1&6\\ -&\textbf{1}&.&9&4&2\end{matrix}}{\begin{matrix}\:\:&\textbf{\:\:}&\:\:&\:\:&\:\:&4\end{matrix}}[/tex]

[tex]\mathrm{Add\:}1\mathrm{\:ten\:to\:}3:\quad \:10+3=13[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&\textbf{13}&\:\:&\:\:\\ \:\:&\linethrough{5}&.&\textbf{\linethrough{3}}&1&6\\ -&1&.&\textbf{9}&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{\:\:}&\:\:&4\end{matrix}}[/tex]

[tex]\mathrm{Borrow\:}1\mathrm{\:from\:}13\mathrm{.\:\:The\:remainder\:is\:}12[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&\textbf{12}&10&\:\:\\ \:\:&\linethrough{5}&.&\textbf{\linethrough{13}}&1&6\\ -&1&.&\textbf{9}&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{\:\:}&\:\:&4\end{matrix}}[/tex]

[tex]\mathrm{Add\:}1\mathrm{\:ten\:to\:}1:\quad \:10+1=11[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&12&\textbf{11}&\:\:\\ \:\:&\linethrough{5}&.&\linethrough{13}&\textbf{\linethrough{1}}&6\\ -&1&.&9&\textbf{4}&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{\:\:}&4\end{matrix}}[/tex]

[tex]\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:11-4=7[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&12&\textbf{11}&\:\:\\ \:\:&\linethrough{5}&.&\linethrough{13}&\textbf{\linethrough{1}}&6\\ -&1&.&9&\textbf{4}&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{7}&4\end{matrix}}[/tex]

[tex]\mathrm{Place\:the\:decimal\:point\:in\:the\:answer\:directly\:below\:the\:decimal\:points\:in\:the\:terms}[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\textbf{\:\:}&12&11&\:\:\\ \:\:&\linethrough{5}&\textbf{.}&\linethrough{13}&\linethrough{1}&6\\ -&1&\textbf{.}&9&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\textbf{.}&3&7&4\end{matrix}}[/tex]

[tex]\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:4-1=3[/tex]

[tex]\frac{\begin{matrix}\:\:&\textbf{4}&\:\:&12&11&\:\:\\ \:\:&\textbf{\linethrough{5}}&.&\linethrough{13}&\linethrough{1}&6\\ -&\textbf{1}&.&9&4&2\end{matrix}}{\begin{matrix}\:\:&\textbf{3}&.&3&7&4\end{matrix}}[/tex]

[tex]=3.374[/tex]

Hence the correct answer is 3.374

Answer/Step-by-step explanation:

72/12=6

6x5=30

30 points.

Answer:

x=22

Step-by-step explanation:

Supplementary means that the two angles that are supplementary equal 180 degrees. 180-m<2=m<1

180-92=88 (m<2=92)

m<1=88

m<1=4x

4x=88

x=22

Answer:

Suppose N is the size of a population of radioactive atoms at a given time t, and dN is the amount by which the population decreases in time dt; then the rate of change is given by the equation dN/dt = −λN, where λ is the decay constant.

Answer:

Step-by-step explanation:

Simplified expression:

[tex]3x^3 -x^3 +5x^3-9x^3[/tex]

[tex]2x^3 +5x^3-9x^3[/tex]

[tex]7x^3 -9x^3[/tex]

[tex]-2x^3[/tex]

If x = -1, the value of the expression is:

[tex]-2x^3[/tex]

[tex]-2(-1^3)[/tex]

[tex]-2(-1)[/tex]

[tex]2[/tex]

Hope this helps!

Answer:

If the current population is 850,000. Next year it will be 935,000, and the year following that it will be 1,028,500. This is a linear growth (its growth has a common ratio).

Answer:

1,028,500 people

Step-by-step explanation:

When finding the percentage of a number you moved the decimal place over twice and then multiply.

850,000 x 0.10 = 85,000

10% of 850,000 is 85,000

I then found the population of the 1st year

85,000 + 850,000 = 935,000

then I found 10% of that 1st year

935,000 x 0.10 = 93,500

then added 85,000 and 93,500 to find the population growth in the 2 years

85,000 + 93,500 = 178,500

Then added the population growth to the original population

178,500 + 850,000 = 1,028,500 people

(I'm sorry, my last answer was wrong)

Hope this helps! :)

Answer:

x = 56

Step-by-step explanation:

The sum of a triangle add up to 180, so add all of the angles in the triangle and equate to 180

x + x + 7 + x + 5 = 180

collect like terms to simplify

3x + 12 = 180

subtract 12 on both sides

3x = 180 - 12

3x = 168

divide 3 on both sides

x = 168 ÷ 3

x = 56

Each package weighs 6 pounds. Choose the best estimate of the total weight of the packages.2,400 pounds 240 pounds 200 pounds 20 pounds.

Answer:

 Plug it into desmos, and you're good to go.

The file below has the screenshot of the equation graphed.

Answer:

Frank is correct, because (see explanation below)

Step-by-step explanation:

Let's separate into two cases:

Case 1: Blue marble

[tex]\frac{6}{7}[/tex] (There are 6 blues in the bag and 7 marbles in total in the bag, we put the 6 in the numerator because we want a blue marble first.)

Case 2: Green marble

[tex]\frac{1}{6}[/tex] (There is only 1 green in the bag and 6 marbles remaining in the bag, because we already took 1 blue out in Case 1. We put 1 in the numerator because we want the green marbloe only.)

Multiply Case 1 with Case 2 because they are a combination:

[tex]\frac{6}{7} * \frac{1}{6} = \frac{1}{7}[/tex]

Therefore Frank is correct.

Solution:

Note that:

Substituting the values into the equation:

This means that Jack has 99 + b buttons.

The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The sector area is created by the hands of a clock with a radius of 9 inches when the time is 4:00.

Then the radius (r) is 9 inches and the angle is 120°.

We know that the area of the sector is given by

[tex]\rm Area\ of \ sector = \dfrac{\theta}{360} \pi r^2 \\\\\\Area\ of \ sector = \dfrac{120}{360} \pi * 9^2\\\\\\Area\ of \ sector = 27 \pi[/tex]

The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.

More about the circle link is given below.

https://brainly.com/question/11833983

To find the area of the shape which is the shaded area I assume: we must find the sum of the area of the rectangle AECD and triangle BEC

   Total Area =area of rectangle AECD + triangle BEC

                     = 9 * 15 +  (1/2) * 6 * 15 = 136 + 45 = 181 square milimeters

Hope that helped!

Answer:

2

Step-by-step explanation:

f(-1) = (-1)² + 3 = 1 + 3 = 4

f(3) = 3² + 3 = 9 + 3 = 12

average rate of change= [ f(3) - f(-1) ] ÷ [ 3-(-1) ] =

(12-4)÷(4) = 8÷4 = 2

the average rate of change is the slope of the drawn green line .

Answer:

-1

Step-by-step explanation:

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

Answer:

-1

Step-by-step explanation:

Necesitas agregar 6 a 4 negativo, luego obtienes 2, luego restas eso a 5 y obtienes -3 y luego sumas 2 para dejarte con -1.

I put Spanish and English just in case.

You need to add 6 to negative 4 then you get 2 then subtract that to 5 and you get -3 then add 2 to leave you with -1.

Answer:

im not sure i got stuck here ;; but i started sort of

Step-by-step explanation:

The first step is to get the inner angles. I'll start with the one at 60 degrees and call it A and go counter clockwise

A flat angle is 180 and -60 makes it 120 = Angle A

180-100=80=B
180-20=160=C

Then when you're trying to calculate a figure with more than 4 corners, you're supposed to divide them into triangles. Now we have a hexagon and the total degrees is 720. And we know that we have 2 6x and they're the angles

Answer:

Just one solution, u = -9

Step-by-step explanation:

-6u=9-5u

-u = 9

u = -9

Answer:

Just one solution, u = -9

Step-by-step explanation:

-6u=9-5u

-u = 9

u = -9

Let p(x) be any polynomial of degree greater than or equal to one and let 'a' be any real number. If a polynomial p(x) is divided by x - a then the remainder is p(a). Hence by the remainder theorem, 0 is the remainder when x3 + 3x2 + 3x + 1 is divided by x + 1.

The horizontal position for the left edge of the image which Joelle should use to center the image = -4.46cm

We have been told that in the question that the horizontal positions to the right of the leftmost edge of the page are positive.

Given

Joelle is working on a school report on a word processor.

She wants to place an oversized image that is 30.51 cm wide so that it appears centered on the page.

The width of the page is 21.59 cm.

Width of the oversized image = 30.51cm

The first step is to subtract the width of the word processor page from the width of the oversized image.

30.51cm - 21.59cm

8.92cm is the space left

Since we have two sides, horizontal positions to the leftmost side and horizontal positions to the right of the leftmost edge of the page.

The next step is we divide 8.92 by 2

= 8.92cm ÷ 2

= 4.46cm

Automatically, the horizontal position for the left edge of the image which Joelle should use to center the image would the negative.

Therefore, horizontal position for the left edge of the image which Joelle should use to center the image = -4.46cm

To know more about the center of the image click the link given below.

https://brainly.com/question/2918113

Answer: More information.

Step-by-step explanation:

Please provide an actual problem, thanks!

Answer:

B. I think it should be 4±[tex]2\sqrt{3}[/tex]. Correct me if I am wrong.

Step-by-step explanation:

Hope this helps!

The solutions of the given quadratic equation are x=+√12+4 or x=-√12+4.

Steps

Step 1: Divide all terms by a (the coefficient of x2).

Step 2: Move the number term (c/a) to the right side of the equation.

Step 3: Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

The given quadratic equation is 3x²-24x+40=28.

3x²-24x+40-28=0

3x²-24x+12=0

x²-8x+4=0

x²-8x=-4

Now, -8/2 =4 and square of 4 is 16.

Add and 16 on both sides of an equation, we get

x²-8x+16=-4+16

(x-4)²=12

x-4=±√12

x=±√12+4

x=+√12+4 or x=-√12+4

Therefore, the solutions of the given quadratic equation are x=+√12+4 or x=-√12+4.

Learn more about the completing square method here:

https://brainly.in/question/1112385.

#SPJ2

Answer:  D. If he reads 13 pages each day, he will be 5 pages short of his goal.

Step-by-step explanation:

96/7

≈13.7

if he reads only 13 he wont reach his goal of 96

Step-by-step explanation:

Make sure to see the photo I tried to explain every part there

Answer: 8 > u > 6. I hope it helps!

Answer:

y = 11

Step-by-step explanation:

being equilateral triangle

Answer: Yes, because with each round table, the amount of chair goes up by 5.