(x²+2x)+(y²-4y)+(z²+8z)=-17
Complete the square. Remember to balance the equation by adding the same constants to each side
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=-17+1+4+16
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4

Rewrite as perfect squares

(x+1)²+(y-2²)+(z+4)²=4

(x+1)²+(y-2²)+(z+4)²=2²

the center is the point (-1,2,-4) and the radius is 2 units

4 0

2 years ago

Plz help me!! Step by step to understand the answer plz

Doss [256]

Answer:

2/3

Step-by-step explanation:

so the inverse takes us from the range to the domain... they tell us that f(4) goes to 5.. so if we were to take the inverse f $\left \[-1} \atop$ (5) it takes us back to 4... and the slope at 4 or the derivative was 2/3 so that's what we get for f $\left \ {{-1} \atop$ '(5) :)

6 0

2 years ago

To determine what percentage of 376 teachers at a university were female, Ryan randomly selected 14 teachers. He then collected

Kipish [7]

Answer:

a)There are 14 teachers in Ryan's sample, and 362 teachers in the population.

Step-by-step explanation:

Population:-

The totality of observations with which we are concerned, whether this number be finite or infinite is called population.

Given data population is 376 teachers at a university were female'

Sample:-

A sample is a subset of a Population

sample of given data = 14teachers

The percentage of 376 teachers at a university were female, Ryan randomly selected 14 teachers.

$p = \frac{14}{376} = 0.0372$ = 3.72%

6 0

3 years ago

Brianna is getting materials for a chemistry experiment. Her teacher gives her a container that has 0.15 liters of a liquid in i

kap26 [50]

Answer:

0.06 liters.

Step-by-step explanation:

That is simply 0.15 * 0.4

= 0.06 liters.

6 0

2 years ago