2. Consider the following points.
A(-2,20) and P (10,-13)
AP undergoes the translation Tox(x,y), such that A (-28, 37) and P'(-16,4).
Part A: Complete the following algebraic description.
b
(x,y) → (x +
x= x
Part B: Which of the following statements is true?
A AP and A'P' have different locations.
B AP and A'P' have different shapes.
CAP and A'P' have different sizes.
D AP and A'P' have different directions.

Answer:

Victor runs 0.6 of a lap in 1 minute

Step-by-step explanation:

From the question;

3 laps = 5 minutes

x laps = 1 minute

3 * 1 = 5 * x

3 = 5x

x = 3/5

x = 0.6

Victor runs 0.6 of a lap in a minute

Answer:

Purchases= production + desired ending inventory - beginning inventory

Step-by-step explanation:

Giving the following information:

Two pounds of raw materials are needed to produce one product.

The desired ending balance of raw materials is 10% of the next month's production needs.

The beginning inventory of raw materials is 4,000 pounds.

The raw material cost per unit is $0.50 per pound.

To calculate the direct material purchase required for a given month, we need the production for each month. I will provide the formula and a small example to guide an answer.

To calculate the purchase required, we need to use the following formula:

Purchases= production + desired ending inventory - beginning inventory

For example:

Production:

January= 5,000 units

February= 4,500 units

Direct material purchases January:

Production= 5,000*2= 10,000

Desired ending inventory= (4,500*2)*0.1= 900

Beginning inventory= (4,000)

Total purchase in pounds= 6,900

Total direct material cost= 6,900*0.5= $3,450

Answer:

f(x) = 2x^2+5x-12

Step-by-step explanation:

Answer:

The scale factor of dilation from ΔPQR to ΔP'Q'R' is 1/3

Step-by-step explanation:

The given information are;

The vertices of ΔPQR are;

P(-6, 6), Q(-6, 3), and R(-3, 3) and the coordinates of ΔP'Q'R' are P'(-2, 2), Q'(-2, 1), and R'(-1, 1)

Given that the length, l, of each side of the triangles is given by the formula for calculating length given the vertices we have;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

For side PQ, we have;

(x₁, y₁) = (-6, 6), (x₂, y₂) = (-6, 3)

Given that the points have equal y-values, the length is the difference of their x-values as follows;

[tex]l_{PQ}[/tex] = 6 - 3 = 3

Similarly, length QR is the difference in the y-values, since the x-values are equal. therefore, we have;

[tex]l_{QR}[/tex] = -3 - (-6) = 3

Length PR is given as follows;

(x₁, y₁) = (-6, 6), (x₂, y₂) = (-3, 3)

[tex]l_{PR} = \sqrt{\left (3-6 \right )^{2}+\left (-3-(-6) \right )^{2}} = \sqrt{18} = 3\cdot \sqrt{2}[/tex]

[tex]l_{PR}[/tex] = 3·√2

For P'Q', we have

P'(-2, 2), Q'(-2, 1)

[tex]l_{P'Q'}[/tex] = 2 - 1 = 1

[tex]l_{P'Q'}[/tex] = 1

For Q'R', we have

Q'(-2, 1), R'(-1, 1)

[tex]l_{Q'R'}[/tex] = -1 - (-2) = -1 + 2 = 1

[tex]l_{Q'R'}[/tex] = 1

For P'R', we have;

P'(-2, 2), R'(-1, 1)

[tex]l_{P'R'} = \sqrt{\left (1-2 \right )^{2}+\left (-1-(-2) \right )^{2}} = \sqrt{2} = \sqrt{2}[/tex]

[tex]l_{P'R'}[/tex] = √2

Therefore, given that we have

PQ/(P'Q') = PR/(P'R') = 3/1 = 3 and QR/(Q'R') = 3·√2/(√2) = 3

The scale factor of dilation from ΔPQR to ΔP'Q'R' = 1/3.

Answer:

63

Step-by-step explanation:

8 / 32 = 0.25

Multiply 0.25 with 252

0.25 * 252 = 63

This process simply applies the same ratio from the first test to the second test.

Answer:

n=12.5

Step-by-step explanation:

10/8=n/10

multiply the denominator and numerators 10 ad 10=100 divide by 8=12.5

Answer:

3x+1

Step-by-step explanation:

(2x+x+3+6x)/3

9x+3/3

3x+1

The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.

This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.

Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.

In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.

Learn more about Expressions here :

brainly.com/question/21751419

#SPJ2

Answer:

Maggie is 13

Step-by-step explanation:

Honestly, I just kept trying ages starting from 10 because I knew it wasn't going to be less than that. Then I did whatever age, in this case 13, and multiply it by  4. Then minus 11 from that number. Then take that end number and add it to the beginning number(maggies age) and you should get 54.

Math Equation Explanation:

13*4 = 52                           (Maggies Age) x 4

52-11= 41                            The question stated that Maggie's brother was 11                                             -------------------------------------years younger than her age times 4.

41 + 13 =54                          The sum of both their ages.

The name of my shape is a parallelogram. The sides are:

The perimeter is 34 feet because:

Step 1: Add smaller groups.

10 + 10 = 20

7 + 7 = 14.

Step 2: Add the two numbers.

14 + 20 = 34.

Hope this answer helps you!

Answer:

its simple 5.90

Step-by-step explanation:

I got 2 : 3. You didn’t give answer choices but after you commented the answer choices I was able to determine that 2:3 is the answer.

Answer:

4x+10

Step-by-step explanation:

Answer:

n+30/5

Step-by-step explanation:

Simplify n/5

n/5+6

Rewrite the whole as an equivalent fraction

2.1 Add an integer to a fraction

Rewrite the whole as a fraction using 5 as the denominator: 6= 6/1=6×5/5

Equivalent fraction: the fraction thus generated looks different but has the same value as everything.

2.2 sum of the two equivalent fractions add two equivalent fractions that now have a common denominator

Combine the numerators, place the sum or difference over the common denominator, and then reduce to the lowest terms of possible:

n+6×5/5=n+30/5

Answer:

Maximum number of chairs is 7.

Step-by-step explanation:

We are told he has less than 120 minutes to spend painting furniture each day.

Now he has spent 30.5 minutes painting a desk.

Also, he wants to paint "x" number of chairs with each chair taking 12.5 minutes.

Thus, we have;

30.5 + 12.5x < 120

Subtract 30.5 from both sides to get;

12.5x < 120 - 30.5

12.5x < 89.5

x < 89.5/12.5

x < 7.16

Thus, maximum number of chairs he can paint is 7

Answer:

The answer is C, hope that helps:)

Step-by-step explanation:

Answer:

Measure all the sheets together and divide by 200

Step-by-step explanation:

An average mean is the sum of something divided by how many things there are.  In this case, it is the sum of the thickness of 200 pages, divided by the number of pages, 200.

Answer: Were is the math problem at?

Answer:

B)7.25

Step-by-step explanation:

16x7.25=116

Answer:

130°

Step-by-step explanation:

a straight line is 180°

so you have

180°-50°= 130°

Answer:<EBA=103

Step-by-step explanation:

72+31=103

Answer:

[tex]\boxed {\tt C. \ m \angle EBA=103}[/tex]

Step-by-step explanation:

∠EBA is made up of 2 angles: ∠ABC and ∠EBC

If we want to find the measure of ∠EBA, we should add the measure of ∠ABC and ∠EBC.

m∠EBA= m∠ABC+m∠EBC

The measure of angle ABC is 72. The measure of angle EBC is 31. (m∠ABC=72 and m∠EBC=31)

m∠EBA= 72 + 31

Add.

m∠EBA=103

The measure of angle EBA is 103 and choice C is correct.

Answer:

lol girl i have this one too and im trying to do cuz no one cam to help me so im going to try and then i will see if i help you

Step-by-step explanation:

Answer:

just add thos and then put then to geter and you get 3x+1^2

Step-by-step explanation:

f(x) = ax² + bx + c

f(1) = 6

f(2) = 11

f(3) = 18

value of a,b,c​

Substitute x = 1 , 2 , 3 in the given polynomial.

★ f(1) = a(1)² + b(1) + c

⟹ 6 = a + b + c -- equation (1)

Similarly,

★ f(2) = a(2)² + b(2) + c

⟹ 11 = 4a + 2b + c -- equation (2)

★ f(3) = a(3)² + b(3) + c

⟹ 18 = 9a + 3b + c -- equation (3)

Subtract equation (1) from (2).

⟹ 4a + 2b + c - (a + b + c) = 11 - 6

⟹ 4a + 2b + c - a - b - c = 5

⟹ 3a + b = 5 -- equation (4).

From equation (3) ,

⟹ 18 - c = 9a + 3b

⟹ 18 - c = 3(3a + b)

Substitute the value of 3a + b from equation (4).

⟹ 18 - c = 3 * 5

⟹ 18 - 15 = c

⟹ 3 = c

substitute the value of c in equation (1).

⟹  6 = a + b + 3

⟹ 6 - 3 = a + b

⟹ 3 = a + b -- equation (5)

Subtract equation (5) from equation (4).

⟹ 3a + b - (a + b) = 5 - 3

⟹ 3a + b - a - b = 2

⟹ 2a = 2

⟹ a = 1

Substitute a value in equation (5).

⟹ 1 + b = 3

⟹ b = 3 - 1

⟹ b = 2

Therefore,

a = 1

b = 2

c = 3.

I hope it will help you.

Regards.

Answer:

145.9°C

Step-by-step explanation:

Given that :

Lowest temperature recorded (Soviet Vostock station Antarctica) = - 89.2°C

Highest temperature recorded (Greenland Ranch California) = 56.7°C

Difference between the highest and lowest recorded temperature :

(Highest temperature - lowest temperature)

(56.7°C - (-89.2°C))

= 56.7°C + 89.2°C

= 145.9°C

Answer:

−5x−2

Step-by-step explanation:

Answer:

Step-by-step explanation:

If Frederick can swim 25 yards in 23 seconds, then:

25 yards = 23 seconds

To determine how long it will take him to swim 175yards, we will say:

175 yards = x

Equating both expression:

25 yards = 23 seconds

175 yards = x

Cross multiply

25x = 23*175

25x = 4025

Divide both sides by 25

25x/25 = 4025/25

x = 161 secs

This means that it will take Frederick 161 secs to swim 175 yards

Answer:

The second answer

Step-by-step explanation:

Because if you subtract a negative from an equation you get positive (two negatives make a positive)