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shtirl [24]
3 years ago
11

Q10 Q3.) Find the standard form of the equation of the ellipse satisfying the given conditions.

Mathematics
2 answers:
Wewaii [24]3 years ago
7 0

Given horizontal axis length is larger than the vertical axis length, the standard form of an ellipse is:

[(x-h)/a]^2 + {(y-k)/b]^2 = 1

where (h,k) is center; a and b are the major and minor axis

(h,k) = (0,0) and a=18, b=2

(x/18)^2 + (y/2)^2 = 1 is the standard form equation


Andrei [34K]3 years ago
4 0
Ellipse center (0,0) so its eqn is x^2/a^2 + y^2/b^2 = 1
major axis is horizontal n length 18
so at y=0, x=+/-18
a=18
minor axis is vertical n length 2
so at x=0, y=+/-2
b=2

ans is (x/18)^2 + (y/2)^2 = 1

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A square scarf has a side length of 3/4 yard on each side.
denis-greek [22]

Answer:

\frac{9}{16}\ yd.^2

Step-by-step explanation:

Area of a square: a^2 = a*a

A = a^2\\\\A = \frac{3}{4}* \frac{3}{4}\\\\A =  \frac{9}{16}

Therefore, the answer of the scarf is \frac{9}{16}\ yd.^2

Hope this helps!

8 0
2 years ago
What are the x- and y-intercepts for the graph of 5x – 2y = 20?
Elza [17]

Answer:

x-intercept = 4

y-intercept = −10

Step-by-step explanation:

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y-intercept: Plug 0 in for xto get this:

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I am joyous to assist you anytime.

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a rectangular sheet is 62cm long and 42cm wide from each of its corners a square of side 6cm is cut out and an open box is made
Alla [95]

Answer:

The volume of rectangular box is 9,000 cubic centimeters

Step-by-step explanation:

Given as :

The length of the rectangular sheet = L = 62 cm

The width of the rectangular sheet = B = 42 cm

Let The volume of rectangular box = v cubic centimeters

From each corner of sheet a square of 6 cm is cut out and an open box made

So, The length of box = L' = (L - 6 - 6)

i.e L' = (62 - 6 - 6)

Or, L' = 50 cm

Or, Length of the box = 50 cm

And The width of the box = B' = (B - 6 - 6)

i.e B' = (42 - 6 - 6)

Or, B' = 30 cm

Or width of the box = 30 cm

And,

The height of the box = H = 6 cm

∴ volume of rectangular box = Length of box × Breadth of box × Height of  box

i.e v = L' × B' × H

Or, v = 50 cm × 30 cm × 6 cm

Or, v = 9,000 cm³

So, The volume of rectangular box = v = 9,000 cm³

Hence, The volume of rectangular box is 9,000 cubic centimeters Answer

4 0
3 years ago
What is the answer for this MATH PROBLEM???<br>please explain how you got the answer, thank you
erma4kov [3.2K]
The answer is e, 3 3/4

if you add 3/4+3/4+3/4+3/4+3/4 (five times for the five batches), or did 3/4 * 5, you would get 15/4, which simplifies to 3.75, or 3 3/4
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3 years ago
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