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3 years ago

Who do historians believe created the first American flag

Mathematics

1 answer:

bonufazy [111]3 years ago

8 0

Answer:

Besty Ross

Step-by-step explanation:

Brainllest

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The equation (x-6)^2/16 + (y+7)^2/4 = 1 represents an ellipse. What are the vertices of the ellipse?

topjm [15]

Answer:

The correct option is C.

Step-by-step explanation:

The given equation is

$\frac{(x-6)^2}{16}+\frac{(y+7)^2}{4}= 1$

It can be rewritten as

$\frac{(x-6)^2}{4^2}+\frac{(y+7)^2}{2^2}= 1$ .....(1)

The standard form of an ellipse is

$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}= 1$ ....(2)

Where (h,k) is center of the ellipse.

If a>b, then the vertices of the ellipse are $(h\pm a, k)$ .

From (1) and (2) we get

$h=6,k=-7,a=4,b=2$

Since a>b, therefore the vertices of the ellipse are

$(h+a, k)=(6+4,-7)\Rightarrow (10,-7)$

$(h-a, k)=(6-4,-7)\Rightarrow (2,-7)$

The vertices of the given ellipse are (10, –7) and (2, –7). Therefore the correct option is C.

5 0

3 years ago

Read 2 more answers

If you have an 80 average so far in class after 3 tests what would you need to get on the fourth test to have an average of 83?

Monica [59]

Answer:

Step-by-step explanation:

83*4 = 332

And 80*3 = 240

332-240 = 92

So you would need 92

8 0

3 years ago

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Nat2105 [25]

Answer:

Step-by-step explanation:

First choose two points on the line,

Let the points are A and B.

From point A to B we are moving downwards by (5 - 1 = 4 units)

Therefore, Rise = -4

Horizontal distance between A and B = 2 units

Therefore, Run = 2

Since, slope of a line = $\frac{\text{Rise}}{\text{Run}}$

Slope = $\frac{-4}{2}$

= -2

7 0

3 years ago

Howard is designing a chair swing ride. The swing ropes are 5 meters long, and in full swing they tilt in an angle of 29 degrees

Firlakuza [10]

Answer:

Step-by-step explanation:7.12 meters tall

4 0

3 years ago

What is 485,783 rounded to its greatest place?

natima [27]

Answer:

486

Step-by-step explanation:

if you mean 485.782 with a decimal then it would be 486

7 0

3 years ago