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Romashka-Z-Leto [24]
3 years ago
9

HALP 20 points PIC DOWN BELOW

Mathematics
1 answer:
LenKa [72]3 years ago
5 0

Answer: The Answer is B

Step-by-step explanation:

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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
Write the next three terms in the pattern. What is each pattern rule?<br><br> +6, -12, +18, -24, ...
natali 33 [55]

Answer: 30, -36, 42

Step-by-step explanation:

So basically the pattern is just the next number that is a multiple of six, but every other number is negative. 6 is 6 times 1, -12 is 6 times -2, 18 is 6 times 3, -24 is 6 times -4, 30 is 6 times 5, -36 is 6 times -6, and 42 is 6 times 7

7 0
3 years ago
Jonathan pays $1.90 per pound for potatoes. He buys 8.3 pounds of potatoes. He determines that he will pay $15.77, before tax, f
tatuchka [14]

Answer:here is the right answer took the test and got it right trust and believe Jonathan’s answer is reasonable because is 16, and 16 is close to 15.77.

Step-by-step explanation:

7 0
3 years ago
Jaila went to the butcher and bought 2.42 pounds of ground beef, ¾ pound of bacon, and 3 pork chops that each weigh .36 of a pou
kirill [66]

Answer: 4.25 pound of meat

Step-by-step explanation:

This is a addition questions, all you have to do is to add the numbers together. But you have to convert all the fractions and decimal to the same thing first. In this case, I'll convert all the fraction to decimal.

2.42 + 0.75 + 0.36  ✕ 3 = 4.25 pound

7 0
3 years ago
Find the sum of (6d+5)-(2-3d)
devlian [24]
I think you have to combine like terms to solve this one. (6d - 3d) + (5 - 2) = 3d + 3
7 0
3 years ago
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