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2 years ago

Write the sphere in standard form. 4x2 + 4y2 + 4z2 − 24x + 16y = 1

Mathematics

1 answer:

dybincka [34]2 years ago

5 0

Answer:

(x -3)^2 +(y +2)^2 +z^2 = 13.25

Step-by-step explanation:

Divide by 4 and complete the squares.

x^2 -6x +y^2 +4y +z^2 = 1/4

(x^2 -6x +9) +(y^2 +4y +4) +z^2 = 13 1/4

(x -3)^2 +(y +2)^2 +z^2 = 13.25

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twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only

Karolina [17]

donuts and cream puffs were 45 & 4 respectively !

Step-by-step explanation:

Here we have , twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only 5 less than the number of donuts We need to find how many donuts and cream puffs were there . Let's find out:

Let number of donuts and cream puffs are x & y respectively ! So ,

twice the number of donuts was only 6 less than 24 times the number of cream puffs

According to this statement equation is :

⇒ $2x=24y-6$

⇒ $x=12y-3$ ................(1)

10 times the number of cream puffs was only 5 less than the number of donuts

According to this statement equation is :

⇒ $10y= x-5$

⇒ $x=10y+5$ ................(2)

Equation (1) & (2) :

⇒ $12y-3=10y+5$

⇒ $2y=8$

⇒ $y=4$

Putting $y=4$ in $x=12y-3$ :

⇒ $x = 12(4)-3$

⇒ $x = 45$

Therefore , donuts and cream puffs were 45 & 4 respectively !

7 0

3 years ago

HELP 283829 MATH!!!!!!!!!!!!!!

STatiana [176]

For the first one, you're answer would be AC. since C is also a right angle, and angle A is hypnotenuse to C

3 0

3 years ago

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Complete the sentence. 7 is 35% of _________.

Sonbull [250]

Okay, pretend the number equals X,
so x is 35%, and that would equal 7, so then
x is still 35/100 = 7
x = 7 which is 100/35
x = 700/35
x = 20
then you get the number = 20
I hope this was helpful, and good luck! :P

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3 years ago

Read 2 more answers

A bag contains 10 counters. 6 of them are white. a counter is taken at random and not replaced. A second counter is taken out of

Sedbober [7]

Answer: 8/15

Step-by-step explanation:

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2 years ago

Maxine spent 15 hours doing her homework last week. This week she spent 18 hours doing homework. She says that she spent 120% mo

Vadim26 [7]

Answer:

she is correct beacuse if she worked more harder this week than last week it shows beacuse she did 15 hours

and she did 18 hours as well

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2 years ago