Apply the indicated series of transformation to the triangle image and draw its final placement on the graph: *(x,y)—>(x+6,y-2) *reflect across y=2 (this part confuses me)
Please tell me in steps
(Photo attached)

Answer:

∠AFB is adjacent

Answer:

Step-by-step explanation:

A

The measure of angle ABC in the figure of triangle attached is

In geometry, a perpendicular bisector is a line or line segment that divides another line segment into two equal parts and is perpendicular to it.

From the definition of perpendicular bisector, we have that

< A = < C

and using triangle ABD

< A + < ABD = 90

< A + 28 = 90

< A = 90 - 28

< A = 62

Using triangle ABC

< A + < ABC + < C = 180

62 + < ABC + 62 = 180

< ABC = 180 - 62 - 62

< ABC = 56

OR

< ABD = < DBC = 28 degrees

and < ABC = < ABD + < DBC adjacent angles

< ABC = < ABD + < DBC

< ABC = 28 + 28

< ABC = 56 degrees

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complete question

The perpendicular bisector of side AB of triangle ABC intersects the extension of side AC at D. Find the measure of angle ABC if measurement of angle CBD=16 degrees and measurement of angle ACB=118 degrees

Answer:

it's B

Step-by-step explanation:

B. The Origin

hope it helps:)

Area of triangle = 1/2 × b × h

b = base and h = height

Area = 1/2 × (x+4) × (2)

Area of rectangle = lb

l = Length and b = Breadth

Area = 10 (x + 2)

Area = 10x + 20

The area of rectangle is 8 times greater than the area of the triangle.

According to the question,

10x + 20 = 8(x+4)

or, 10x + 20 = 8x + 32

or, 10x - 8x = 32 - 20

or, 2x = 12

or, x = 12/2 = 6

The value of x is 6.

Hence, Option D. 6 is correct.

Answer:

x = 6

Step-by-step explanation:

Area of rectangle = length * width

                             = 10 *(x +2)

                             = 10*x + 10*2

                             = 10x + 20   unit²

Area of triangle = \(\frac{1}{2}bh\)

                          \(=\frac{1}{2}*2*(x +4)\\\\=1*(x+4)\\\\= x +4\)

Area of rectangle  = 8*area of triangle

10x + 20 = 8* (x+ 4)

10x + 20 = 8x + 32           {Subrtact 20 from both sides}

        10x = 8x + 32 - 20

        10x = 8x + 12   {subtract 8x form both sides}

  10x - 8x = 12

         2x = 12     {divide both sides by 2}

      2x/2 = 12/2

          x = 6

Answer:

  c = 9/4 = 2.25

Step-by-step explanation:

You want the value of c that satisfies the Mean Value Theorem for f(x) = √x on the interval [1, 4].

The Mean Value Theorem (MVT) tells you that for some value x=c in the interval [a, b], the slope of continuous function f(x) will be equal to the average slope between (a, f(a)) and (b, f(b)), the function values at the end points of the interval.

The end points of the interval are ...

  (1, f(1)) = (1, 1)

  (4, f(4)) = (4, 2)

Then the average slope is ...

  m = (y2 -y1)/(x2 -x1) = (2 -1)/(4 -1) = 1/3 . . . . average rate of change

The derivative of f(x) is ...

  f'(x) = 1/2x^(-1/2) = 1/(2√x)

We want to find c such that f'(c) = 1/3:

  1/3 = 1/(2√x)

  √x = 3/2 . . . . . . . . multiply by 3√x

  x = 9/4 . . . . . . . . square both sides

The value of c is 9/4 = 2.25.

Answer:

b = −2

Step-by-step explanation:

1. Simplify −4 − b + 6 to 2 − b.

− b = 4

2. Subtract 2 from both sides.

−b = 4 − 2

3. Simplify 4 − 2 to 2.

−b = 2

4. Multiply both sides by −1.

b = −2

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

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

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.

The equation of a line in the point-slope form is given by the following equation:

y-y_1 = m(x-x_1)

where m is the slope of the line and (x1, y1) is any point on the line.

Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:

y-5 = 7(x-1)

Expanding the right-hand side of the equation gives:

y-5 = 7x-7

Adding 5 to both sides of the equation gives:

y = 7x-2

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Answer:

17

Step-by-step explanation:

if:

x+35=3x+1

2x=34

x=17

Answer: 17

Step-by-step explanation:

The leading coefficient of the polynomial is 4.

The leading coefficient of a polynomial, we first need to understand what the leading term of the polynomial is.

The leading term is the term with the highest degree in the polynomial.

For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\(, the leading term is 3x^4.
To determine the leading coefficient of a polynomial, we simply look at the coefficient of the leading term. For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\), the leading coefficient is 3.
Now, let's apply this concept to the polynomial graphed below. From the graph, we can see that the polynomial has a degree of 2, meaning that the highest power of x in the polynomial is 2.

Therefore, the leading term of the polynomial is \(ax^2\), where a is the leading coefficient.
The vertex is the point on the graph where the polynomial reaches its maximum or minimum value. In this case, the vertex is located at \((-2, 4)\)
Since the vertex is the highest point on the graph, we know that the coefficient of x^2 must be positive.

In this case, the value of y at the vertex is 4.

Therefore, the leading coefficient of the polynomial is 4.

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Answer:

10

Step-by-step explanation:

The mean for the set of data 6, 7, 10, 12, 12, and 13 is 10.

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the set of observations as:

{6, 7, 10, 12, 12, 13}

To determine the mean of a set of data, add up all the numbers and divide by the total number of numbers.

So, for the given set of data:

Mean = (6 + 7 + 10 + 12 + 12 + 13) / 6

Mean = 60 / 6

Mean = 10

Therefore, the mean for the given set of data is 10.

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Answer:

First, you need to find out how much money Collin collects from all his customers. To do this you can multiply the number of customers (52) by the amount each customer pays per month ($50.00).

52 * $50.00 = $2600.00

Then you need to find out Collin's commission which is 24% of the money he collects. To do this you can multiply the money he collects by 24% (24/100)

$2600.00 * (24/100) = $624.00

So Collin should earn $624.00 for the month.

Step-by-step explanation:

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Draw the image

STEP 2: Explain the coordinate of the library

Since the distance from the library to the school is the same as the distance from the bank to the school, this implies that the library is located at a midpoint of the school and the bank.

Hence, the coordinates of the library is (4,4)

Answer:

2. dM/dt = -0.11M

Step-by-step explanation:

Differential equations for proportional amouts:

A differential equation for proportional amounts is given by:

\(\frac{dx}{dt} = ax\)

In which a is the constant rate. If the amount increases, a is positive. If it decays, b is positive.

In this question:

Decays, so a < 0.

Proportional to the amount of the substance present at a given time, which means that a multiplies the amount M.

This means that the correct answer is given by option 2.

Answer:

hello mateee ;)

Step-by-step explanation:

lets go step by step...

216 cub root = 6

x^3 cube root = 3/3 = power 1 = x

y^6 cube root = 6/3 = power 2 = y^2

z^12 cube root = 12/3 = power 4 = z^4

final ans becomes 6x y^2 z^4 hence option a is correct

glad for brainliest <3

Answer:

Let's break down the given sentence into an equation.

Let's assume the number is represented by 'x'.

The product of two and a number: 2x

Eight less than the product of two and a number: 2x - 8

Equals four: 2x - 8 = 4

Therefore, the equation is 2x - 8 = 4.

Answer:

ezzz

for the two boxes on the left you would need to put in a -1 and just 1 in order to get

-5x-5y=10

5x+7y=4

0.  2y.   14.

14 divided by 2 =7 so y=7

plug that into both equations and solve

5x+5(7)=-10

5x+35=-10

5x=-45

divide off the 5 to get x by itself

x=-9

now check the next problem

Step-by-step explanation:

Have an amazing day

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer:

8 cm and 9 cm

Step-by-step explanation:

This is the answer because:

1) The other two sides have to equal somethinng that is bigger than 13.

2) 5 cm + 8 cm = 13 cm, therefore, 5 cm and 8 cm is not the correct answer.

3) 6 cm + 7 cm = 13 cm, therefore, 6 cm and 7 cm is not the correct answer.

4) 7 cm + 2 cm = 9 cm, therefore, 7 cm and 2 cm is not the correct answer.

5) Finally, 8 cm + 9 cm = 17 cm, therefore, it is the correct answer since it has a bigger value than 13.

Hope this helps! :D

Answer:

8 and 9

Step-by-step explanation:

because

Answer:

Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.

Step-by-step explanation:

Given that Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole, while Olga uses 5/6 of a dozen eggs to make scrambled eggs, the following calculations must be performed to determine who uses more eggs:

Sonja = 8/12 = 0.666 x 12 = 8

Olga = 5/6 = 0.83333 x 12 = 10

Therefore, Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.

Answer: B (120 in^3)

Step-by-step explanation: W * L *H = V

Length * Width * Height = Volume

You can multiply the LWH in any order.

Height = 4

Length = 10

Width = 3

Remember, anything multiplied by ten is just the product (answer) with a zero added to the end. Example: 4 * 3 = 12; 12 * 10 = 120

Another Example: 15 * 2 = 30; 30 * 10 = 300

4 * 10 = 40

40 * 3 = 120

Therefore, 120 is your answer.

Hope this helps!

Answer:

The answer to your problem is, 120 cu in

Step-by-step explanation:

In order to find the volume of the cube there is only one thing that you need to do which is pretty simple just follow these steps:

Multiply, l * w * h          ( * = multiply )

By following the formula up above you can find the volume of a rectagular prism which is:

4 x 10 = 40

3 x 40 = 120.

Thus the answer to you problem is, 120 cu in

Answer:

f(4)= 36

f(4) = 7n-7

Step-by-step explanation:

f(4)= 9(4)

36= f(4)

f(4) = - 2(4)(n-1)-1

8(n-1) - 1

7 (n-1)

7n-7 = f(4)

Answer:

153.86 inches²

Step-by-step explanation:

How do we find the radius of a circle?

How do we find the area of a circle?

Solving

Therefore, the answer is 153.86 inches².

Have a lovely rest of your day/night, and good luck with your assignments! ♡