Hello! I need help with this questionTriangle DOG was rotated to create triangle D'O'G''. Describe the transformation using details and degrees.

We want to write the following system

As a matrix. To do that, we just take the coefficients and plug them in the same order in a matrix. Our system can be rewritten as:

Now, to solve this, we can use the gaussian elimination. It consists of adding, multiplying, and changing the order of the rows, until we have an identity matrix on the left side.

Let's start by subtracting the second row from the third row, and subtracting 2 times the second row from the first row.

Multiplying the first row by (- 1), we have:

Adding the first row to the third row, we have:

Multiplying the last row by 1/9:

Now, subtracting the third row from the second row, and subtracting 5 times the third row from the first row, we have:

Dividing the first row by 3:

Subtracting the twice the first row from the second row:

And finally, permuting the first and the second row

And this is our answer.

Given:

10÷2÷3÷4 x 10 x 0 - 5 - 10 + 20 x 10 + 10 ÷ 10 x 10

To simplify the problem above, use PEDMAS theorem.

Thus, we have:

To answer the question, let us plot the graphs of all the functions.

f(x):

g(x):

h(x):

i(x):

From the graphs shown above, it can be seen that the range of the function i(x) goes from -∞ to +∞. This is the function with the greatest negative range.

Therefore, the correct option is OPTION D

EXPLANATION

We can affirm by the triangle midsegment theorem that the segment DF is half of the segment BC, therefore:

Plugging in the terms into the expression:

Applying the distributive property and removing the parentheses:

Subtracting -3x to both sides:

Subtracting terms:

Adding +3 to both sides:

Adding numbers:

In conclusion, the value of x is 6

There are 20 Canadians and 20 Americans at the conference.

we met the first person may be Canadian or American

Case 1:

If the first person is Canadian

We meet the second person

The second person also maybe Canadian or American

If all the first 20 peoples are Canadian

The next two people should be American

Hence we should meet a minimum of 22 people.

Case 2:

If the first person is American

We meet the second person

The second person also maybe Canadian or American

If all the next 20 peoples are Canadian

Then the 22nd people should be American

Hence we should meet a minimum of 22 people.

Case 3:

If the first person is American

We meet the second person

The second person also maybe Canadian or American

If the second people is also American

Hence we met 2 Americans in two attempts.

Result:

We need to meet 22 people to meet two americans.

we have

Apply distributive property

simplify

The amount loaned at 8% interest is $15000

Using the simple interest formula, we find the interest obtained at each rate.

Simple interest, I = PRT where

Now, the interest obtained at 8%,I₁ = P₁R₁T where

Also, the interest obtained at 16%,I₂ = P₂R₂T where

So, the total interest received is I = I₁ + I₂

=  P₁R₁T +  P₂R₂T

= P₁ × 0.08 × 1 +  P₂ × 0.16 × 1

= 0.08P₁ + 0.16P₂

Since the total interest received is $2000,we have that

I = $2000.

So, I = 0.08P₁ + 0.16P₂

0.08P₁ + 0.16P₂ = 2000  (1)

Since the amount loaned by the bank is P = P₁ + P₂ and P = $20000, we have that

P₁ + P₂ = 20000

P₂ = 20000 - P₁   (2)

Substituting equation (2) into (1), we have that

0.08P₁ + 0.16P₂ = 2000  (1)

0.08P₁ + 0.16(20000 - P₁) = 2000  

Expanding the brackets, we have

0.08P₁ + 0.16 × 20000 - 0.16P₁ = 2000  

0.08P₁ + 3200 - 0.16P₁ = 2000  

0.08P₁ - 0.16P₁ = 2000 - 3200

- 0.08P₁ = -1200

P₁  = -1200/-0.08

P₁  = 15000

So, the amount loaned at 8% is $15000

The question seems incomplete, here is the complete question

A bank loaned out ​$20,000​, part of it at the rate of 8 % per year and the rest at 16 % per year. If the interest received in one year totaled ​$2000​, how much was loaned at 8 %

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Question A.

The initial population ocurrs at t=0. Then, by substituting this value into the given model ,we get

which gives

then, the answer is 51 owls.

Question B.

The limits when t approaches to + infinity is

then, the answer is 2040 owls.

Question 15.

In this case, we need to find t when N(t) is 950, that is,

By moving the denominator to the left hand side, we have

then, by moving 950 to the right hand side, we obtain

which is

so, we get

By applying natural logarithms to both sides, we have

then, the answer is

By rounding o the neares interger, the answer is 7 years

It is given that the fraction is:

If a fraction is given by:

Then p is called numerator and q is called denominator.

Hence the numerator is 12 and denominator is 13.

. The function h measures the height.

. The units on h meters.

. h'(t) measures the velocity

. The units on h'(t) are meters per second

. The units on t are seconds

We are given the following equation:

we are asked to determine any extraneous solutions. To do that we will determine the values of "x" that solve the equation. First, we will cross multiply the equation:

Now, we can multiply by -1, we get:

Now we use the distributive property on both sides, we get:

Now, we subtract "3x" from both sides:

Now we subtract 24 from both sides:

Therefore, the solution is x = -12. The extraneous solutions are the solutions that are not in the domain of the original function.

In the domain of the original function, we have that the values of:

Would make the denominators equal to zero, and therefore, they are not in the domain. Since the solution is none of these values there are no extraneous solutions.

Yes, your answers are correct.

And the answer would be different if the non-Normal because all the calculations are based on a normal ditributed production of the chocolate bars; if the production of the chocalte bars had a non normal distribution, for example a skewed distribution (to the left or to the right) all the values used in the calculation would be different.

Given the following equation:

You need to solve for the variable "n" in order to find its value.

The steps are shown below:

1. You can multiply both sides of the equation by "n":

2. Now you need to multiply both sides of the equation by 9:

3. Finally, you can divide both sides of the equation by 15:

The answer is:

We have the expression:

So, when x=-1 we need to use this expression, so lets plot -1 on it:

so f(-1)=1.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

expected value of each game = ?

Step 02:

Expected value:

Sister:

total outcomes = 6

1 - 6

probability = 1/6

1 | 2 | 3 | 4 | 5 | 6

$3 | $3 | $3 | $3 | $3 | $3

1/6 | 1/6 | 1/6 | 1/6 | 1/6 | 1/6

expected value (sister) = $3

Mother:

total outcomes = 2

blue - red

probability = 1/2

blue | red

$9 | $21

1/2 | 1/2

expected value (mother) = $15

The answer is:

Expected value (sister) = $3

Expected value (mother) = $15

Mother's offer.

The slope of a line is given by the following formula:

Where (x1, y1) and (x2, y2) are the coordinates of two points where the line passes through. By replacing (2, -9) and (8, -6) into the above equation, we get:

Then, the slope of the given line is 1/2. The equation of a line can be written in slope-intercept form like this:

y = mx + b = (1/2)x + b

We can find the value of b by replacing the coordinates of one of the point where the lie goes through, let's take (2, -9), then we get:

-9 = (1/2)(2) + b

-9 = 1 + b

-9 - 1 = 1 - 1 + b

-10 = b

b = -10

Then, we can rewrite the above equation to get: y = (1/2)x - 10

The least precise place value is in the 10's place is 182.5.

Given that, 67.4 +43 +30 + 42.10.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point.

Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value.

Now,

67.4 + 42.10 + 73

= 109.5 + 73

= 182.5

Hence, the least precise place value is in the 10's place is 182.5.

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In total Irene makes 4 2/3

She splits the batter into two bowls

Blueberries bowl 2 1/4

walnuts bowl ?

In order to do an estimation

Then for the other fraction

Therefore we do the next estimation

The estimation is 2 2/4 cups of batter with walnuts

For an exact value, we do the next operations

In order to know how much batter has walnuts

Then we convert to a mixed number

As we can see our estimation and the actual differ very a little therefore we do a good estimation

Answer:

a translation of 1 unit to the right and 3 units up and then a reflection across the y-axis

Explanation:

First, let's identify the coordinates of the vertex R, S, T and its images R', S', and T'.

R(-6, -2) ---> R'(5, 1)

S(-5, -5) ---> S'(4, -2)

T(-3, -3) ---> T'(2, 0)

Then, we can observe that the transformation was a translation of 1 unit to the right and 3 units up and the a reflection over the y-axis because:

A translation of 1 unit right and 3 units up is made by the following rule

(x, y) ---> (x + 1, y + 3)

So, each vertex is translated to

R(-6, -2) ---> (-6 + 1, -2 + 3) = (-5, 1)

S(-5, -5) ---> (-5 + 1, -5 + 3) = (-4, -2)

T(-3, -3) ---> (-3+ 1, -3 + 3) = (-2, 0)

Then, the reflection over the y-axis is

(x, y) ---> (-x, y)

So,

(-5, 1) ---> R'(5, 1)

(-4, -2) ---> S'(4, -2)

(-2, 0) ---> T'(2, 0)

Therefore, the answer is:

a translation of 1 unit to the right and 3 units up and then a reflection across the y-axis

To ascertain fi the ratio 12:8 is equivalent to 18:12 we have to reduce the ratios

SOLUTION:

Step 1 :

In this question, we are told that Bella counted the number of students who play various instruments in her school's marching band and graphed

the results.

We are asked to find the instruments did the same number of students play.

Step 2:

From the graph, we can see clearly that the same number of students play

Saxophone and Drums.

CONCLUSION:

SAXOPHONE -- OPTION D

DRUMS -------------OPTIO

Answer:

eh

Step-by-step explanation:

not really imo

but alas i am not a big fan of boats so i mean

what ever floats your boat (i am so funny)

(a) We can name the vertex as B.

(b) We can name the sides as A and C.

The image below shows the angles with their names.

(c) The angle on the left is an obtuse angle because it measures more than 90°. The angle on the right is a right angle because it's equal to 90°.

(e) At last, we name these angles in three ways, using a greek later, using the three letters on the points, or just given the letter of the vertex.

shop sells 24 boxes in 2 hrs

so in 1 hrs shop sells 24/2 = 12 boxes,

so in 4 hrs shop sells 12 x 4 = 48 boxes.

The product of the slopes of the perpendicular lines = -1

If the slope of one is m, then the slope of the other is -1/m

The given equation is y = -2x - 1

The form of the equation is y = m x + b, where

m is the slope of the line

So the slope of the given line is m = -2

To find the slope of the perpendicular line reciprocal it and change its sign

The slope of the perpendicular line = 1/2

Substitute it in the form of the equation

y = 1/2 x + b

To find b substitute x and y of the equation by the coordinates of any point on the line

The line passes through point (2, -1), then

x = 2 and y = -1

-1 = 1/2 (2) + b

-1 = 1 + b

Subtract 1 from both sides to find b

-1 - 1 = 1 - 1 + b

-2 = b

The equation of the perpendicular line is

y = 1/2 x - 2

we have the following:

therefore the number of galllons is 12

Since the load L varies directly with the product of width and square of the height h, and inveresly as the length l, so

We will use the second rule

Since L is 8740 pounds when w is 5 in., h is 7 in. and l is 144 in.

We need to find L when w is 6 in., h is 9 in. and l is 216 in.

Let us substitute them in the second rule

By using cross multiplication

Divide both sides by 245

Round it to the nearest integer

The load is 11558 pounds

The place value of;

9 is 9 tens

5 is 5 unit

2 is 2 tenth

6 is 6 hundredth

The function is

y=0,7x+80

and they ask you the point (6, )

this means x=6

so we need to replace x=6 on the function and find out the value of y

Y=0,7*6+80

Y=4.2+80=84.2

So the answer is: (6, 84.2)

and this means that 6 years before 1999, the number of households that have at least one microwave is 84.2 million

For C. 2014 is (2014-1999=15) 15 years after 1999

So we replace x=15

Y=15*0,7+80=90.5

So the answer is: 90.5 million households