All categories

3 years ago

Find the equation of the sphere for which the line segment pq connecting p(4,2,1) and q(5,-1,3) is the diameter

1 answer:

5 0

The middle of PQ is (9/2,1/2,2)
The sphere has for equation (x-9/2)²+(y-1/2)+(z-2)²=R²
and P is a point of the sphere so R=(-1/2)²+(3/2)²+(-1)²=R²=7/2

You might be interested in

If the trapezoid on the grid below is translated by using the rule (x,y)-> (x-4,y-3) what will be the coordinates of B’?

vesna_86 [32]

Answer:

B'(3, 5)

Step-by-step explanation:

Rule for the translation of a point (x, y) by 'h' units left and 'k' units upwards,

(x, y) → (x - h, y + k)

If h = 4 and k = 3,

$(x, y)\rightarrow(x-4,y+3)$

Following this rule coordinates of the image point of B will be,

B(7, 2) → B'(7 - 4, 2 + 3)

→ B'(3, 5)

Therefore, coordinates of the image point B' will be,

B'(3, 5)

6 0

3 years ago

A scale drawing of an automobile has a scale of 1 inch = 1/2 foot. The actual width of the car is 8 feet. What is the width on t

inessss [21]

Answer:

16 inches

Step-by-step explanation:

If each inch is 1/2 a foot, that means you would have to multiply 8 (the actual width) by 2 (representing halves) to get 16.

3 0

3 years ago

I need help please be sure of your answer.

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

The top has area (3 cm)(5 cm), or: 15 cm^2

The bottom has the same area: 15 cm^2

Each of the ends has the area (3 cm)(2.5 cm): 7.5 cm^2

7.5 cm^2

Each of the sides has the area (2.5 cm)(5 cm) 12.5 cm^2

12.5 cm^2

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

70 cm^2

The total lateral area is 70 cm^2

8 0

3 years ago

Common factors in polynomials

tester [92]

Answer:

if you will comment the qusetion ill galdly help

Step-by-step explanation:

6 0

3 years ago

Use synthetic division to evaluate the function for the indicated value of x

Rama09 [41]

Answer: dude its easy just do it i believe in you but iyou know you can do it

Step-by-step explanation:

8 0

3 years ago