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natulia [17]
3 years ago
13

One characteristic of all linear functions is that they will change by

Mathematics
1 answer:
ElenaW [278]3 years ago
3 0
The same constant value(s)
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which of the following expresses the coordinates of the foci of the conic section shown below? (x-2)^2/4+(y+5)^2/9
elena55 [62]

Step-by-step explanation:

\frac{(x - 2) {}^{2} }{4}  +  \frac{(y + 5) {}^{2} }{9}  = 1

This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a

The formula for the foci of the vertical ellipse is

(h,k+c) and (h,k-c).

where c is

Our center (h,k) is (2, -5)

{c}^{2}  =  {a}^{2}  -  {b}^{2}

Here a^2 is 9, b^2 is 4.

{c}^{2}  = 9 - 4

{c}^{2}  = 5

c =  \sqrt{5}

So our foci is

(2, - 5 +  \sqrt{5} )

and

(2, - 5 -  \sqrt{5} )

6 0
2 years ago
A storage bin is 12ft long 4ft wide 2ft high what is the volume in cubic ft
MariettaO [177]
Hello!

This is a rectangular prism

The equation to find the volume of a rectangular prism is

V = whl

v is volume
w is width
h is height
l is length

Put in the values you know

V = 12 * 4 * 2

Multiply

V = 96

The answer is 96 cubic feet

Hope this helps!
7 0
4 years ago
When an integer is subtracted from 5 times the next consecutive integer, the difference is 17. Find the value of the greater int
Mars2501 [29]

Answer:

4

Step-by-step explanation:

5(x + 1) -x = 17  Distribute the 5

5x + 5 - x = 17 Combine like terms

4x + 5 = 17  Subtract 5 from both sides

4x = 12  Divide both sides by 4

x = 3  

Three is the smaller integer and 4 is the greater integer.

5 0
1 year ago
What are four consecutive numbers if the sum is 604
antiseptic1488 [7]

Answer:

149.5, 150.5 , 151.5, 152.5

Step-by-step explanation:

n+(n+1)+(n+2)+(n+3)= 604

Combine Like Terms

4n + 6 = 604

Subtract 6

4n = 598

Divide by 4

n=149.5

Check Your Work:

149.5+150.5+151.5+152.5 = 604

5 0
3 years ago
135% as a fraction or a mixed number fully simplified please 50 POINTS + BRAINILEST
Valentin [98]

Answer:

27/20

Step-by-step explanation:

135% = 135/100 = (27/20 × 5) = 27/20 = 1 7/20 I think

4 0
3 years ago
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