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IgorC [24]
3 years ago
13

Find an equation of the sphere that passes through the origin and whose center is (1, -7, 9

Mathematics
1 answer:
AfilCa [17]3 years ago
6 0
The distance between any point on the sphere and its center is the radius. The origin is on the sphere, so the radius r satisfies

r^2=(1-0)^2+(-7-0)^2+(9-0)^2=131

This means the equation of the circle is

(x-1)^2+(y+7)^2+(z-9)^2=131
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The sum of two numbers is 125. Five times one number minus three times the other is 41. Determine these numbers
vivado [14]
(x + y = 125)3
5x - 3y = 41
3x - 3y = 375
8x = 416, x = 52
52 + y = 125, y = 73

Solution: the numbers are 52 and 73
4 0
3 years ago
What’s the error and how can I correct it number 24.
Aloiza [94]

The error is that 9 shouldnt be written as nine it should be written as 3x3 or 3^2. So the answer should be 2^3 x 3^2 because 9 can be divided into even more prime factors of 72.

4 0
3 years ago
Read 2 more answers
A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on this m
Ilya [14]

Answer:

Salamander Trail is longer than Great Oak Trail

Step-by-step explanation:

The given parameters are;

The scale of the map is 36 mi = 6 cm

The length of Great Oak Trail = 4.5 cm

The scale of a different map is 24 mi = 3 cm

The length of Salamander Trail = 3.5 cm

Therefore, we have;

The actual length of Great Oak Trail based on the first map is given as follows;

36 mi = 6 cm

6 cm = 36 mi

1 cm = 36 mi/6 = 6 mi

4.5 cm = 4.5 × 6 mi = 27 mi

The actual length of Salamander Trail based on the second  map is given as follows;

24 mi = 3 cm

3 cm = 24 mi

1 cm = 24 mi/3 = 8 mi

3.5 cm = 3.5 × 8 mi = 28 mi

Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.

7 0
3 years ago
Please answer question 11
irinina [24]

Answer:

I'm pretty sure it's 4

Step-by-step explanation:

association property of addition involves well addition and that's what it shown in y+0=y

6 0
3 years ago
For brainiest:):):):):):):):)
mrs_skeptik [129]

Answer:

11) to know the 20% of 70$ we need to 70÷100×20 = 14 now the sale price will ne 70-14$ = 56$

12) same 20% of 92= 92÷100×20= 18.4 $ so now original price= 92+18.4 = 110.4

13) same 40% of 30$ = 30÷100×40 = 12$ now selling price = 30-12$= 18$

3 0
3 years ago
Read 2 more answers
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