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Katen [24]
3 years ago
13

-4.3<-2.91<5.7 is that that true?

Mathematics
1 answer:
IRISSAK [1]3 years ago
7 0
Yes that is correct
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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
Which products result in a perfect square trinomial? Check all that apply.
sladkih [1.3K]

The <em><u>correct answers</u></em> are:

B=(xy + x)(xy + x) ; C=(2x – 3)(–3 + 2x) ; and E=(4y² + 25)(25 + 4y²)

Explanation:

In order to have a perfect square trinomial, we must multiply two binomials that are exactly the same.  For (xy+x)(xy+x), are multiplying two identical binomials.

For (2x-3)(-3+2x), we are multiplying two binomials that are the same but written in a different order.  The same is true of (4y² + 25)(25 + 4y²).

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3 years ago
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There are 8 green apple and 7 red apples in a basket. what is the ratio of all apple in the basket to red apples
Pavlova-9 [17]
The ratio of apples in the basket it 8:7
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3 years ago
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Round <br> 0.655<br> to one decimal place.
Virty [35]

Answer:

0.7

Step-by-step explanation:

If we're rounding to one decimal place, we need to round up since it's 0.65.

8 0
3 years ago
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(c) what is the probability that jeanie remembers the first errand but not the second or third?
erastovalidia [21]
1/3 one out of three
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3 years ago
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