In the accompanying diagramed ABC , BC is extended to D, m

Answer:

4

Step-by-step explanation:

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

x-2 = 16

x = 16+2

x = 18

Answer: A' (1, 5)

B' (-3, 5)

C' (-3, 2)

D' (1, 2)

Step-by-step explanation:

To reflect across the y-axis the original point (x, y) must become (-x, y) which is essentially taking the opposite of x

We can do that with each of the point of the rectangle ABCD to make the reflect rectangle A'B'C'D'

A (-1, 5) to A' (1, 5)

B (3, 5) to B' (-3, 5)

C (3, 2) to C' (-3, 2)

D (-1, 2) to D' (1, 2)

Answer:

21a-14b

15b-20a

Step-by-step explanation:

Answer: a + 3b

Step-by-step explanation:

Okay, so...

7(3a - 2b) = 7(3a) - 7(2b) ... distributive property

21a - 14b

5(3b - 4a) = 5(3b) - 5(4a) ... distributive property

15b - 20a

(21a - 14b) + (15b - 20a) = 21a -12b + 15b - 20a =

a + 3b

Answer:

I think 28.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

12 - 4 = 8 ⇒ sin x is shifted 8 units up.

k = ( 12 - 4 ) ÷ 2 = 4

The abscissa is ( \(\frac{x}{2}\) - \(\frac{\pi }{8}\) )

y = 4 sin ( \(\frac{x}{2}\) - \(\frac{\pi }{8}\) ) + 8

Possible cosine equation is

y = 4 cos ( \(\frac{x}{2}\) - \(\frac{\pi }{8}\) ) + 8

Answer: true

Step-by-step explanation:

The good Samaritan law allows you to help people and not be liable for trying to do so.

Answer:

x=11.7

Step-by-step explanation:

When every you have a straight line with a transversal, the line going through the straight line, the two angles will add up to 180.

180=10x+2+5x+3 ---> combine like terms

180=15x+5 ---> subtract 5 to the other side

175=15x ---> divide 15 to the other side

x=11.7

Answer:

The temperature at the end of the day was -9°C

Step-by-step explanation:

-2 - 7 = -9

Answer:

\( {a}^{b} \)

\( {6}^{7} \)

\(6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6\)

\(279936\)

hope this will help you more

Answer:

An adjacent angle and the included side.

Step-by-step explanation:

The ASA Triangle Congruence Theorem states that 2 triangles are congruent if 2 corresponding angles and the included have the same measure. That means that you need the angle next to the angle already given and the side that is in between the two angles to prove that the triangles are congruent.

The quotient of 4.082 and 10,000 is 0.000004082.

To find the quotient of 4.082 and 10,000, we need to divide 4.082 by 10,000. However, dividing a decimal by another decimal can be tricky, so we need to move the decimal point of the dividend (4.082) and the divisor (10,000) to make the division easier.

We can move the decimal point of 4.082 four places to the left to obtain 0.04082. This is because moving the decimal point to the left makes the number smaller. For example, moving the decimal point in 4.082 one place to the left gives us 0.4082, which is ten times smaller than 4.082. Moving the decimal point four places to the left gives us a number that is 10,000 times smaller than 4.082.

Similarly, we can move the decimal point of 10,000 four places to the right to obtain 100,000,000. This is because moving the decimal point to the right makes the number larger. For example, moving the decimal point in 10,000 one place to the right gives us 1,000, which is ten times larger than 10,000. Moving the decimal point four places to the right gives us a number that is 10,000 times larger than 10,000.

Now we can divide 0.04082 by 100,000,000, which gives us the quotient of 0.000004082. Therefore, to find the quotient of 4.082 and 10,000, we need to move the decimal point in 4.082 four places to the left and move the decimal point in 10,000 four places to the right, and then divide the resulting numbers.

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Answer:

The answer is 21

Step-by-step explanation:

6+6 bc the other side is the same as the one that has 6. 6+6+9=21

If c varies directly as l and inversely as a, then which of the equations describe the relationship among the three variables c, l and a is  \(\rm c = k \dfrac{l}{a}\).

Given ;

c varies directly as l and inversely as a.

The following steps can be used to determine the equation that describes the relationship among the three variables c, l, and a:

Step 1 - According to the given data, 'c' is directly varying as 'l'.

\(\rm c\; \alpha \; l\)

Step 2 - Also given in the data that 'c' is inversely varying with 'a'.

\(\rm c \; \alpha \; \dfrac{1}{a}\)

Step 3 - Combine the expression obtained in steps 1 and 2, that is:

\(\rm c\;\alpha \; \dfrac{l}{a}\)

Step 4 - The mathematical expression of the above conclusion is given by:

\(\rm c = k \dfrac{l}{a}\)

where k is the proportionality constant.

So, the correct option is B).

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We will see that there are 156,000 different combinations, so the correct option is C.

First, we need to find the selections, here we have:

Now we need to find the number of options for each of these selections.

We assumed that the number can be any integer from 0 to 9.

The total number of possibilities is equal to the product between the numbers of options, we will have:

P = 26*25*24*10 = 156,000

So, the correct option is C.

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Answer:

Step-by-step explanation:

All the measuring angles above 180 degrees and less than 360 degrees are termed Reflex angles.

Eg: 239° is greater than 180° and lesser than 360° So it's a reflex angle

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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Answer:

20 total exhibits at the zoo

Step-by-step explanation:

55% of 20 = 11 (monkeys)

Answer:

The ratio between Roberto and David is 3:11

Step-by-step explanation:

If Roberto were to have 18 cards when we start, then David would have 24. Roberto has 3/4 the amount that David has. Then Roberto gives half of his cards (9) to David. Roberto now has 9 cards and David has 33.

The ratio of Roberto's cards to David's cards will be 3:11.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The number of Roberto's baseball cards is 3/4 the number of David's cards. If Roberto gives 1/2 of his cards to David.

If Roberto were to have 18 cards when we start, then David would have 24.

Roberto has 3/4 the amount that David has. Then Roberto gives half of his cards (9) to David. Roberto now has 9 cards and David has 33.

The ratio between Roberto and David is 3:11

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The number of holes in the graph for the given function is 0.

The given function is f(x) = (x+1)/(x+4).

Find the asymptotes.

Vertical Asymptotes: x= -4

Horizontal Asymptotes: y=1

No Oblique Asymptotes

Since no factors can be removed from the denominator, there are no holes in the graph.

Therefore, the number of holes in the graph for the given function is 0.

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Answer:

Step-by-step explanation:

Algebraic expressions tend to have atleast one unknown variable in it. In order to solve the expression we need to assign a fixed value to that variable or isolate it if the expression is equal to another value. For example, in the following expression we have the variable x, if we give it a value of 5 we simply solve like a regular expression...

5x + 3

5(5) + 3

25 + 3

28

Therefore, if we swap the variable x for the value of 5 we would get a value of 28 in this algebraic expression.

Answer:

moonano

Step-by-step explanation:

The graph of the absolute value functions is added as an attachment

An absolute value function is represented as

y = a|x - h| + k

Where the vertex is

Vertex = (h, k)

Using the above as a guide, we have the following:

Next, we plot the graph of the functions using the vertex

See attachment for the graph of the absolute value functions where color is used to represent the key/legend

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To maximize the amount of peaches produced by the orchard, the peach orchard owner should plant a certain number of trees per acre. The per-tree yield is given by the equation Y = 1200 - 15x, where Y represents the yield per tree and x represents the number of trees planted per acre.

To find the number of trees per acre that maximizes the crop yield, we need to determine the value of x that corresponds to the vertex of the equation. The vertex of a downward-opening parabola, represented by the given equation, occurs at the x-coordinate given by x = -b / (2a).

In this case, the coefficient of x is -15 and the constant term is 0, so b = 0 and a = -15. Substituting these values into the formula, we get x = -0 / (2 * -15) = 0.

While the mathematical calculation suggests that planting zero trees per acre would maximize the yield, this result is not practical. Therefore, the closest feasible value greater than zero would be 1 tree per acre.

For 1 tree per acre, substituting x = 1 into the equation, we find that each tree would produce a yield of Y = 1200 - 15 * 1 = 1185 peaches. Consequently, the resulting total yield would be 1185 peaches per acre.

Number of trees per acre: 1 tree per acre

Total yield: 1185 peaches per acre

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The original width is 6 inches, and was reduced to 3 inches, which is half. Keeping this in mind, the new height should be half the original 8 inch height, being halved to 4 inches.

Answer:

Step-by-step explanation:

Answer: (5,7)

Step-by-step explanation:

Answer:

2√10

Step-by-step explanation:

√40 = √(2 × 2 × 2 × 5) = 2√10.