The graph of f(x) = |x – h| + k contains the points (–6, –2) and (0, –2). The graph has a vertex at (h, –5). Describe how to fin

Answer:

Attached is the question in consideration.

forms a straight line.

depicts a right triangle.

The options represent the correct answers.

Step-by-step explanation:

⇒ Given that  is ⊥ it constitutes a right triangle, leading to .

⇒ The measure for equals as bisects , implying that is half of , thus  .

⇒ represents a straight line, as the angle measures across it yield .

⇒ The angle measure for is derived from the linear pair concept.

Since , inserting the values of   leads to .

The other two options are incorrect as:

• 

       it surpasses while is a               

      straight line.

• Also, is inaccurate.

     As and

Thus, we have a total valid answers.

The confirmed options are .

The attached graph illustrates the region. The centroid's coordinates are (5/3, 1). The centroid's coordinates are determined by averaging the coordinates of the area; Oₓ = (Aₓ+Bₓ+Cₓ)/3 = (0+1+4)/3 = 5/3 and O(y) = (A(y) + B(y) + C(y)) = (0+3+0)/3=3/3=1.

The capacity is approximately 3.5 fluid ounces. In order to determine this, we need to compute the volume of a cone-shaped cup. The formula for the volume of a cone is: 1/3 * π * r^2 * h, where r equals the diameter divided by 2, which gives 1.35 inches, and h equals 3.3 inches. After substituting these values, we find the volume to be V = 1/3 * 3.14 * 1.35^2 * 3.3 = 6.3 cubic inches. To convert cubic inches to fluid ounces, we use the relationship that 1 fluid ounce is equal to 1.8 cubic inches. Therefore, x fluid ounces equal to 6.3 cubic inches leads to x = 6.3 / 1.8, which results in 3.5 fluid ounces.

To find out the number of days, we should create equations based on the values provided. The total distance Kayla aims to travel combines both her running distance and her biking distance.

200 miles = (6 miles/day)x + (10 miles/day)y

where x signifies the days she spent running and y represents the days bike riding.

If the minimum biking days are set to be 15, indicated by y = 15, we have:

200 miles = (6 miles/day)x + (10 miles/day)(15 days)

Solving for x gives:
200 = 6x + 150
50 = 6x
x = 8.3333 days

Total days = 15 days biking + 8.3333 days running = 23.3333 days, approximately making it 24 days.

Answer:

The number of standard deviations above the mean is

Step-by-step explanation:

The question indicates that:

   The average weight of the corn ears from each farm is

   The standard deviation for the corn ears from Iowa is

   The standard deviation for the corn ears from Ohio is

     

     

  A randomly chosen ear of corn from Iowa weighs  x =  1.39 pounds

  The standardized score is  z = 1.645

  The weight of a randomly chosen ear of corn from Ohio measures  

In general, the standardized score of corn weight from Iowa can be mathematically defined as:

       

=>      

=>        

=>        

Conversely, the standardized score of corn weight from Ohio is expressed as:

         

=>      

=>        

=>      

A positive value indicates this quantity represents the number of standard deviations above the mean.