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Sindrei [870]
3 years ago
7

An ellipse has vertex (0, 4), co-vertex (3, 0) and is centered at the origin. What is the equation for the ellipse?

Mathematics
1 answer:
yulyashka [42]3 years ago
5 0

Answer:

Step-by-step explanation:

Notice: The first vertex (0, 4) is further from the origin than is the second vertex (3, 0), in the y-direction and the x-direction, respectively.

The standard equation of an ellipse with center at the origin is

 x²         y²

------ + ------ = 1  

 a²       b²

and a represents the greater distance from the origin to one covertex or the other.  In this case we let a = 4 and b = 2. Then we have:

y²      x²

---- + ------ = 1     which is the equation of this ellipse in final

4²      3²                                    finished form.

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Your school is 20 blocks east and 12 blocks south of your house. The mall is 10 blocks north and 7 blocks west of your house. Yo
salantis [7]

Answer:

  3.5 miles

Step-by-step explanation:

The straight line distance from the school to the mall is found using the Pythagorean theorem. That distance is the hypotenuse of a triangle that is 27 blocks in the east-west direction and 22 blocks in the north-south direction.

  d = √(27^2 +22^2) = √1213 ≈ 34.83 . . . blocks

Since each block is 0.1 miles, the distance in miles is ...

  distance to mall = (0.1 miles/block)(34.83 blocks) = 3.483 miles

Rounded to tenths, the distance from school to mall is 3.5 miles.

8 0
3 years ago
Devin ran 6 over 10 miles on Thursday.He ran 1.5 miles on Saturday. How many total miles didi he run
Diano4ka-milaya [45]

Answer:

17.5 miles

Step-by-step explanation:

6+10+1.5= 17.5

8 0
3 years ago
the diameter of a cylinder is 14cm.the height of the cylinder is 9cm. calculate the Volume and curved surface area​
kicyunya [14]

Answer:

The volume is 1386 cm³ and curved surface area is 396 cm².

Step-by-step explanation:

Given that,

The diameter of a cylinder is 14 cm

Height of the cylinder is 9 cm

We need to find the volume and curved surface area​ .

If r is the radius, r = 14/2 = 7 cm

Volume of a cylinder is given by :

V=\pi r^2 h\\\\V=\dfrac{22}{7}\times (7)^2 \times 9\\\\V=1386\ \text{cm}^3

The curved surface area of the cylinder is given by :

A=2\pi r h\\\\A=2\times \dfrac{22}{7}\times 7\times 9\\\\A=396\ \text{cm}^2

So, the volume is 1386 cm³ and curved surface area is 396 cm².

3 0
3 years ago
Solve for the value of x: 3x + 25 = 2/3 (6x - 15)​
n200080 [17]

3x + 25 = 2/3 (6x - 15)

9x + 75 = 12x - 30

75 + 30 = 12x - 9x

3x = 105

x = 105 : 3

x = 35

3 0
4 years ago
30 Points!!!!
irina1246 [14]

Answer:

The answer is four months

Step-by-step explanation:

You have a starting cost of $50 with a $20 fee every month

OR

You have a starting cost of $30 with a $25 fee every month

Start: $50 ($20 per month)

M1 = $70, M2 = $90, M3 = $110, M4 = $130

Start: $30 ($25 per month)

M1 = $55, M2 = $80, M3 = $105, M4 = $130

In conclusion, the prices of the two will match at Month 4

3 0
3 years ago
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