Answer:

**From the graph above, the vertex of the graph (h,k) is (10,4).**

**The general equation in its vertex form is,**

**Therefore,**

**Hence, option D is the correct answer.**

The Punic Wars had the GREATEST impact on the expansion ofes )A)the Roman Empire.B)the Roman Republic.Egypt's "New Kingdom."D)Alexander the Great's Empire.Submit

The point 3 2 is reflected in the origin the coordinates of its image are

if a line with an angle of inclination 120⁰ and passes trough (√3,1),then what is the equation of a line

1 Which expression is equivalent to 1/3y?• 1/3(y+12)-12 1/6y+1/3(y+3 1/6y+1/6(y+12)-2 1/3y+1/3(6-y)

Which of the following statements is not true? A. If the probability of an event occurring is 1.5, then it is certain that event will occur. B. If the probability of an event occurring is 0, then it is impossible for that event to occur.

The point 3 2 is reflected in the origin the coordinates of its image are

if a line with an angle of inclination 120⁰ and passes trough (√3,1),then what is the equation of a line

1 Which expression is equivalent to 1/3y?• 1/3(y+12)-12 1/6y+1/3(y+3 1/6y+1/6(y+12)-2 1/3y+1/3(6-y)

Which of the following statements is not true? A. If the probability of an event occurring is 1.5, then it is certain that event will occur. B. If the probability of an event occurring is 0, then it is impossible for that event to occur.

15

9

4.5

18

Answer:

18

Step-by-step explanation:

Let X be the midpoint of the chord AB

Distance between X and the centre:

15-3 = 12

XB² = 15² - 12²

XB² = 81

XB = 9

AB = 2XB = 18

**Answer:**

4.5

**Step-by-step explanation:**

The **distance **between the **midpoints **of the first **segment **and the third **segment **is __2k/3__. Hence, __option A__ is the right choice.

The **mid-point** of a **line segment** is the **point **from which the **distance **to both ends of the **line segment** is **equal**.

In the question, we are given a **line segment** of **length **k units, which is divided into 3 equal parts.

We are asked to find the **distance **between the **midpoints **of the first and third **segments**.

Firstly, we divide the **line segment** at **points **k/3 and 2k/3, to get three **equal **parts of **lengths **k/3 each.

Now, the **mid-point** of the first **segment **= (0 + k/3)/2 = k/6.

The **mid-point** of the third **segment **= (2k/3 + k)/2 = 5k/6

Therefore, the **distance **between the **midpoints **of the first **segment **and the third **segment **is (5k/6 - k/6) = 4k/6 = __2k/3__. Hence, __option A__ is the right choice.

Learn more about **midpoints** at

#SPJ2

Line segment of length k is divided into 3 equal parts.

so first segment is 0-k/3 and third segment is 2/3k-k

so mid-pt of 1st = k/6 and 3rd = 5/6k

so the distance in between = 5/6k-k/6 = 4/6k = 2/3k

ans is A

There are 60 more girls

There are 420 students divided into 7 parts due to the ratio of girls to boys being 4:3. With one part totaling 60 students, there are 240 girls and 180 boys. Thus, there are** 60 **more girls than boys.

To solve this problem, you need to understand the concept of ratios. In this case, the ratio of girls to boys is 4:3. This means that for every 4 girls, there are 3 boys. If we add the two parts of the ratio together, we get 7 parts. This means that the total number of students, which is **420**, is to be divided into 7 parts.

So, one part of this ratio is equal to 420 divided by 7, which equals 60 students. Since the ratio claims there are 4 parts of girls and 3 parts of boys, to find out the numbers of girls and boys, we multiply each part of the ratio by 60. Hence, the total number of **girls** is 4 multiplied by 60, which equals 240 and the number of boys is 3 multiplied by 60, which equals 180.

Therefore, the difference in number between girls and boys is 240 minus 180, which equals 60. So there are 60 more girls than boys.

#SPJ2

**Answer:**

D

**Step-by-step explanation:**

just took a random guess

**Answer:**

**Step-by-step explanation:**

Positive integers relative primes to 9 which are less or equal than 9

{1,2,4,5,7}

so

Positive integers relative primes to 15 which are less or equal than 15

{1,2,4,7,8,11,13,14}

and

Positive integers relative primes to 75 which are less or equal than 75

{1,2,4,7,8,11,13,14,16,17,19,22,23,26,28,29,31,32,34,37,38,41,43,44,46,47,49,52,53,56,58,59,61,62,64,67,68,71,73,74}

and

**Answer:**

14^3 = 2,744. Common factors are 1,2,4,7,8,14,28,49,56...

13^4 = 2,197. Common factors are 1, 13, 169, and 2197.