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Vikentia [17]
2 years ago
15

6/5? Could anyone help me I've been stuck on it for a while. 6 over 5 how do I didvide this and get a ratio?

Mathematics
1 answer:
lora16 [44]2 years ago
5 0

Answer:

6/5 = 1.2 or 6:5

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Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.
gladu [14]

Answer:

The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

Step-by-step explanation:

* Lets revise the equation of the ellipse

- The standard form of the equation of an ellipse with center (0 , 0 )  

  and major axis parallel to the x-axis is x²/a² + y²/b² = 1  

# a > b  

- The length of the major axis is 2a  

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

- The length of the minor axis is 2b  

- The coordinates of the co-vertices are ( 0 , ± b )  

- The coordinates of the foci are ( ± c , 0 ) , where c ² = a ² − b²  

* Lets solve the problem

∵ The center of the ellipse is (0 ,0)

∵ Its width is 19 units

∴ The length of the major axis is = 19

∴ 2a = 19 ⇒ divide both sides by 2

∴ a = 19/2 ⇒ ∴ a² = 361/4

∵ Its height is 12 units

∴ The length of the minor axis is = 12

∴ 2b = 12 ⇒ divide both sides by 2

∴ b = 12/2 = 6 ⇒ ∴ b² = 36

- Lets write the equation in standard form

∵ The equation is x²/a² + y²/b² = 1

∴ x²/(361/4) + y²/36 = 1 ⇒ simplify it

∴ 4x²/361 + y²/36 = 1

* The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

7 0
3 years ago
What is the slope of the line in the graph? answer fast help plzzz
ziro4ka [17]

The slope can be found by using the slope formula.

Slope = y2 - y1 / x2 - x1

First, we need two points on the line.

(-1, 0) and (0, 1)

x1 = -1 and y1 = 0

x2 = 0 and y2 = 1

Let's plug these values into our slope formula.

(1 - 0) / (0 - (-1)) = 1 / 1 = 1

The slope is 1

4 0
3 years ago
If y = x + 5 and y = 11, then x = what?
Anestetic [448]

Answer:

6

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
10x + 5x – 3 = 2(2x – 1)
DiKsa [7]

Answer:

The answer is x = 1/11

Step-by-step explanation:

hope this helps

10x + 5x – 3 = 2(2x – 1)

10x+5x-3=4x-2

15x-4x=-2+3

11x=1

To find x divide both sides by 11

11x/11=1/11

x= 1/11

8 0
3 years ago
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A baseball player hits a pitched ball when it is 4 ft above the ground. The initial upward velocity is 80 ft/s. How
iren [92.7K]

Answer:

t=+4.06

Step-by-step explanation:

when the baseball hits the ground, the height will be 0.

h=0we are given that h=−16t2+64t+4.

this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.

since time cannot be negative, only the positive value can be taken.

this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.

7 0
1 year ago
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