Answer:
### What is dilation?

The **dilated polygon **and polygon are created. And the **scale factor **of the polygon STUVWXYZ to JKLMNOPQ will be 9.

**Dilation **is the methodology of expanding the dimensions of an object **without **impacting its appearance.

The **coordinate **of the polygon ABCDEFGH is given as,

(3, -3), (4, -4), (5, -3), (8, -6), (10, -4), (9, -3), (8, -4), (5, -1)

a) If the **scale factor **is 3, then the coordinate of the polygon JKLMNOPQ is given as,

⇒ 3 [(3, -3), (4, -4), (5, -3), (8, -6), (10, -4), (9, -3), (8, -4), (5, -1)]

⇒ (9, -9), (12, -12), (15, -9), (24, -18), (30, -12), (27, -9), (24, -12), (15, -3)

b) If the **scale factor **is 1/3, then the coordinate of the polygon STUVWXYZ is given as,

⇒ 1/3 x [(3, -3), (4, -4), (5, -3), (8, -6), (10, -4), (9, -3), (8, -4), (5, -1)]

⇒ (1, -1), (4/3, -4/3), (5/3, -1), (8/3, -2), (10/3, -4/3), (3, -1), (8/3, -4/3), (5/3, -1/3)

c) The **polygon **JKLMNOPQ and STUVWXYZ are **similar**. Then the scale factor is given as,

Scale factor = 9/1

Scale factor = 9

The **diagram **is given below.

More about the **dilation **link is given below.

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EquationsWhat is the solution of the system of linear equations?-3x + 4y = -182x - y = 7(-2,-3)(-2,3)(2, -3)(2, 3)

A professor graded the final exams and found that the mean score was 70 points. Which of the following can you conclude?A- All of the above.B- The median score was 70 points.C- 50% of the students scored below 70 points.D- This would be a normal distribution.

Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin.Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?

I am a 3-digit number. If you switch my first and last digits, I decrease by 297. Also, mymiddle digit is 6 less than my first digit, which is 2 less than 2 times my last digit. Whatnumber am I?

An oilfield contains 6 wells that produce a total of 1,800 barrels of oil per day. For each additional well that is drilled, the average production per well decreases by 25 barrels per day. Required:How many additional wells should be drilled to obtain the maximum amount of oil per day?

A professor graded the final exams and found that the mean score was 70 points. Which of the following can you conclude?A- All of the above.B- The median score was 70 points.C- 50% of the students scored below 70 points.D- This would be a normal distribution.

Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin.Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?

I am a 3-digit number. If you switch my first and last digits, I decrease by 297. Also, mymiddle digit is 6 less than my first digit, which is 2 less than 2 times my last digit. Whatnumber am I?

An oilfield contains 6 wells that produce a total of 1,800 barrels of oil per day. For each additional well that is drilled, the average production per well decreases by 25 barrels per day. Required:How many additional wells should be drilled to obtain the maximum amount of oil per day?

B. V(x) = 2x^2 + 5x + 1

C. V(x) = 2x^3 + 12x^2 + 22x + 12

D. V(x) = 2x^3 + 8x^2 + 10x + 4

**Answer:**

C. V(x) = 2x^3 + 12x^2 + 22x + 12

**Step-by-step explanation:**

The volume of a fish tank is the multiplication of the area of the base by the height.

**In this question:**

Area of the base:

Height:

**Volume:**

**So the correct answer is:**

C. V(x) = 2x^3 + 12x^2 + 22x + 12

b. 2

c. -2x

d. -2

please explain

**Answer:**

-2

**Step-by-step explanation:**

Slope = -2

y= Mx+b M= slope

y=-2x+b. -2 is in the m spot

y= Mx+b M= slope

y=-2x+b. -2 is in the m spot

Answer:

P2 affirms P1 and the conclusion is in the same direction.

P1--->P2--->C

This argument is valid.

Step-by-step explanation: using the syllogism rules.

Premises 1 (P1) = Some foreign emissaries are persons without diplomatic immunity,

Premises 2 (P2) = so some persons invulnerable to arrest and prosecution are foreign emissaries

Conclusion (C) = because no persons with diplomatic immunity are persons vulnerable to arrest and prosecution.

From the argument:

P1 uses "some", that means it's not "all" foreign emissaries person that does not have diplomatic immunity. This means that some other foreign emissaries have diplomatic immunity

P2 uses "some", that means it's affirms to that part of P1 which states that some foreign emissaries have diplomatic immunity.

The conclusion is valid because the part of P2 which states that some foreign emissaries are vulnerable to arrest, which affirms with P1 which states that Some foreign emissaries are persons without diplomatic immunity. That means no persons with diplomatic immunity are persons vulnerable to arrest and prosecution. This conclusion literally means that if you don't have diplomatic immunity, you are vulnerable to arrest and prosecution.

Therefore;

P2 affirms P1 and the conclusion is in the same direction.

P1--->P2--->C

This argument is valid.

**Answer:**

input 1 output 1 ×7 =7

input 2 output 2 ×7 =14

input 3 output 3 ×7=21

input 4 output 4×7=28

Answers are 7, 14, 21 and 28

the heartbeat per minute is 137 i used calculator

The heart rate of the person after 6 minutes of exercise, assuming it increases by 12 beats per minute during this period, would be 137 beats per minute.

The question asks for the **heart rate** of a person after 6 minutes of exercise, given that it increases by 12 beats per minute during the first 10 minutes. To solve this, we start with the person's resting heart rate, which is 65 beats per minute. For each minute of exercise, we add 12 beats to the resting rate. So for 6 minute workout, the increase would be 6 times 12, which equals 72. Adding this to the resting heart rate, 65 + 72, the heart rate after 6 minutes of exercise would be **137 beats per minute**.

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**Answer:332**

**Step-by-step explanation:**