Triangle XYZ is drawn with vertices X(1, 2), Y(2, 5), Z(3, 4). Determine the translation direction and number of units if Z′(9, 4).

6 units down
6 units up
6 units to the right
6 units to the left

Answer:

There are two ways to check if 3x+5=11 is true:

Subtract 5 from both sides of the equation. This will isolate x on the left-hand side of the equation.

3x = 6

Divide both sides of the equation by 3. This will divide both sides of the equation by 3, which will cancel out the 3 on the left-hand side of the equation, leaving x by itself.

x = 2

You can also check if 3x+5=11 is true by plugging in 2 for x. If you do this, you will get 3(2)+5 = 6+5 = 11. Therefore, 3x+5=11 is true when x=2.

Answer:

To find the probability of rolling a different number on each dice, we can determine the total number of possible outcomes and the favorable outcomes.

The total number of possible outcomes when rolling a 4-sided die and a 6-sided die is the product of the number of sides on each die: 4 × 6 = 24.

The favorable outcomes occur when we roll a different number on each die. We can calculate this by considering all the possible combinations.

For the first die (4-sided), there are 4 possible outcomes.

For the second die (6-sided), there are 6 possible outcomes.

Since we want different numbers on each die, the total number of favorable outcomes is 4 × 6 = 24.

Therefore, the probability of rolling a different number on each die is:

Probability = (Number of favorable outcomes) / (Number of total outcomes)

Probability = 24 / 24

Probability = 1

Hence, the probability is 1 or 100%.

Answer:581.39

Step-by-step explanation:

Answer:

21 Students

Step-by-step explanation:

Number of students earning the award = (15 / 100) x 140

Number of students earning the award = 0.15 x 140

Number of students earning the award = 21

Therefore, 21 of the 140 seventh-grade students earn the Presidential Physical Fitness Award.

The calculated expression of function g(x) in terms of x is g(x) = 3f((x-1)/2)

To express g(x) in terms of x, we need to use the relationship given between the points on the graph of y=f(x) and the corresponding points on the graph of y=g(x).

Specifically, if a point (a,b) is on the graph of y=f(x), then the point (2a+1,3b) is on the graph of y=g(x).

Using this relationship, we can write:

g(x) = 3f((x-1)/2)

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Answer:

D. 36.9

Explanation:

three-fifths of 61.5 is 36.9!

Answer:

D. 36.9

Step-by-step explanation:

The total amount of gallons the gardener typically uses in a month is 61.5 gallons. Since the gardener used 3/5 gallons, we know that 5/5 is 61.5 gallons. So you would have to divide 61.5 by 5 in order to get 1/5 of the gallons which would be 12.3. Then you have to multiply the 12.3 by 3 in order to get 3/5 of how much the gardener used which is 39.9 gallons. I hope this helped!

Answer:

Step-by-step explanation:

75.39 because 2*pi*12

Answer:

18

Step-by-step explanation:

On Monday, they sold 2 computers. If you look to the left, however tall the blue block is, that's the number of computers sold that day. Tuesday was slow, they only sold one. Wednesday- was 6 and Thursday was 9.

2 + 1 + 6 + 9 is 18.

The first four days this week they sold 18 computers.

Answer:

D) 18

Step-by-step explanation:

On Monday they sold 2 computers.

On Tuesday they sold 1 computer.

On Wednesday they sold 6 computers.

On Thursday they sold 9 computers.

The question is asking for the total number of computers sold, so add them all up:

2+1+6+9

=18

In total, 18 computers were sold.

Hope this helps! :)

Answer:

(180-90)÷2

Step-by-step explanation:

90°=the red corner

Answer: A=2cm

Step-by-step explanation:

All the sides of a regular hexagon are equal. SO PQ is the same as MN

Answer: It's A) 2 cm

Step-by-step explanation: All the sides are the same length.

Good luck!

Answer:

----------------------------

Regular polygon has congruent sides and angles.

Irregular polygon has different sides and angles.

According to markings on figures and properties we can state:

The total area of the figure by adding the areas of the parallelogram and trapezoid is 52 square feet

from the question, we have the following parameters that can be used in our computation:

parallelogram and trapezoid

Wher we have

Area of parallelogram = 7 * (6 - 2)

Area of parallelogram = 28

Also, we have

Area of trapezoid = 1/2 * (7 + 5) * 4

Area of trapezoid = 24

So, we have

total area = 28 + 24

total area = 52

Hence, the total area is 52 square feet

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Answer: 45

Step-by-step explanation:

Pythagorean Theorem is a^2+b^2=c^2
In this case it would be 9^2-6^2 which is 45

Answer:

In this case, it would be 9x9 and 6x6

Step-by-step explanation:

The ² in the problem means to multiply the number by itself, like 9x9. It's called the square.

a² + b² = c²

eg.

(a x a) + (b x b) must be = (c x c)

c = hypotenuse which means it is the longest part, which is why it is a² + b² = c²

The person's answer before me is also right

Hope this helps! :)

Answer: x=16 degrees

Step-by-step explanation:

Let's assume that angle (7x-2) is angle P, and angle (4x+6) is angle Q. The lines are parallel, so angle P is correspondent to Angle F, meaning that they are equal.

So we know that a straight line is 180 degrees, so we can form an equation like this: Angle F+ Angle Q= 180 degrees.

Now let's add in the information:

7x-2+4x+6= 180 degrees

11x+ 4= 180

11x= 180-4

11x = 176

x= 16 degrees

Answer:

The answer to the question provided is y = -2x - 7

Answer:

what is the degree of overlap? if the answers are Responses, high, moderate, or none. the answer is moderate

Step-by-step explanation:

The degree of overlap for the dot plots, given the data is A. High.

The dot plots for the two neighborhoods show a high degree of overlap, it would suggest that the distribution of the number of people per household in each neighborhood is similar.

This means that there is little difference between the two neighborhoods in terms of the average number of people per household. It is possible that the two neighborhoods have similar average household sizes but differ in other important ways, such as income, education level, or demographics.

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Answer:

D) Need more information

Step-by-step explanation:

Since the hexagon is irregular, the interior angles will not be equal in size.

To solve for the measure of ∠P, we would need more information.

Answer:

Paddleboarding i think

Answer:

Figure100=5050dots Figure98=4851

Answer: 360.67

Step-by-step explanation:

425.82 + 120.75 = 546.57

546.57 - 185.90 = 360.67

deposit = adding

withdrawal = subtraction

Answer:

$360.67

Step-by-step explanation:

Break it down:

Original: $425.82

Deposit: $120.75

Withdrawal: $185.90

What is a deposit?

A deposit is used in terms of money, and it's when you put money into your account/bank.  We would use addition.

What is a withdrawal?

A withdrawal is also used in terms of money, and it's when you take money out.  We would use subtraction.

Let's write an equation:

425.82+120.75

=546.57

546.57-185.90

=360.67

Piper will have $360.67 after her 2 transactions.  Hope this helps! :)

Answer:

Ribeye (ea) = $18.54

Salmon (ea) = $9.78

Step-by-step explanation:

x is the price for each ribeye steak

y is the price for each grilled salmon

15x + 28y  = $551.97 (a)

24x + 14y = $581.91 (b) -----(x2)------> 48x + 28y = 1163.82 (c)

Subtract c with a

48x + 28y = 1163.82 (c)

15x + 28y  = $551.97 (a)

===================  -

33x           = 611.85

x = 18.54

Put the value of x into a

15 · 18.54 + 28y = 551.97

278.1 +28y = 551.97

28y = 273.87

y = 9.78

In conclusion, the price of 1 ribeye is $18.54, and the price of 1 salmon is $9.78.

Answer:

total area of the given figure is 126

step by step guide:

1) 14×6+1/2×14×6

2) 84+42

3) =126

Answer:

  horizontal

Step-by-step explanation:

You want to know if the equation -4y = 72 describes a horizontal or vertical line.

The equation reduces to ...

  -4y = 72

  y = -18 . . . . . . . . divide both sides by -4

The points on a graph that have y-coordinate -18 will form a horizontal line. They are all 18 units below the x-axis. The line is parallel to the x-axis.

__

Additional comment

The equation x = constant describes a vertical line.

If you are in doubt, you can always graph the equation with your graphing calculator.

Answer:

$6.00

Step-by-step explanation:

As we know that the median is the middle value of a data set.  When we list these costs in order:

3,5,5,6,6,6,9,9,9

When crossing out the values on each side we can see that the middle value lands on 6 so the median is $6.00

Hope it helps!

Answer:

Step-by-step explanation:

Find the surface area of the shape and add them together

Answer:

The translation used to create the image from polygon ABCD to polygon A' B' C' D' is 5 units down.

Step-by-step explanation:

You can see this by observing that all of the y-coordinates in A' B' C' D' are 5 units less than their corresponding y-coordinates in ABCD. Specifically, the y-coordinates of the vertices in ABCD are (-1, -5, -5, -1), and the y-coordinates of the vertices in A' B' C' D' are (-6, -10, -10, -6).

Therefore, the vertical shift or translation used to create the image is 5 units down.

Answer:

5 units down.

Step-by-step explanation:

To solve this question, we need to compare the coordinates of the corresponding vertices of the two polygons and see how they change. A translation is a type of transformation that slides a figure by a certain distance and direction without changing its size or shape. The rule of a translation can be written as (x, y) -> (x + h, y + k), where h and k are the horizontal and vertical shifts, we can see that:

We can see that all the vertices have the same change in their coordinates: x stays the same and y decreases by 5. This means that the translation used to create the image is 5 units down. The rule of this translation can be written as (x, y) -> (x, y - 5). Therefore, the answer is 5 units down.

Answer: 30.25 cm2.

Step-by-step explanation:

Given: Perimeter of a square = 22 cm.

Concept used: Area of a square = side2 Perimeter of a square = 4 × side.

Calculations: Let the side of the square be 'a' Perimeter of a square = 22 cm. ⇒ 4a = 22. ⇒ a = 5.5 cm. ...

∴ Area of square is 30.25 cm2.

Answer:

2m+2+12y

Step-by-step explanation:

-4m-2+5y+6m+4+7y

2m+2+12y