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meriva
2 years ago
8

PLEASE HELP

Mathematics
1 answer:
vladimir1956 [14]2 years ago
3 0

Answer:

6

Step-by-step explanation:

→ Set up an equation

125 + 15x = 215

→ Minus 125 from both sides

15x = 80

→ Divide both sides by 15

x = 6

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Find the center, vertices, and foci of the ellipse with equation 3x2 + 8y2 = 24
Sveta_85 [38]

Answer:

The center is at (0,0)

The vertices are at ( ( ±2 sqrt(2),0)

foci are  ( ±sqrt(5),0)

Step-by-step explanation:

3x^2 + 8y^2 = 24

Divide each side by 24

3x^2 /24 + 8y^2/24 = 24/24

x^2/8  + y^2 /3 = 1

The general equation of an ellipse is

(x-h)^2/  a^2  + (y-k)^2 / b^2  = 1

a>b   (h,k) is the center

the coordinates of the vertices are ( ±a,0)

the coordinates of the foci are  ( ±c,0), where  ^c2=a^2−b^ 2

The center is at (0,0)

a = sqrt(8) = 2sqrt(2)

The vertices are at ( ( ±2 sqrt(2),0)

c = 8 - 3 =5

foci are  ( ±sqrt(5),0)

3 0
4 years ago
Read 2 more answers
Write an expression for angle rst.
levacccp [35]

Answer:

∠RST = 6x - 18

Step-by-step explanation:

Since SQ bisects ∠TSR then ∠RSQ = ∠QST = 3x - 9

and ∠RST = ∠RSQ + ∠QST = 3x - 9 + 3x - 9 = 6x - 18


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4 years ago
Find the difference, –8 – (–5). Then check your work by writing the equivalent addition sentence.
pav-90 [236]

Answer:

-3

Step-by-step explanation:

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another equation is -3-5=-8

hope this helped! =)

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where's the diagram?

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