3 years ago

PLEASE HELP

Mathematics

1 answer:

lutik1710 [3]3 years ago

5 0

Neagative six plus r is less than or equal to negative three point five

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Use the substitution method to solve the linear system.<br> 4×- 7y = 20<br> X- 3y = 10

Allushta [10]

Answer: x = -2, y = -4
(WORK SHOWN BELOW)

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2 years ago

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.

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3 years ago

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Two thirds divided by one quarter

Stells [14]

Answer:

2.66666666667

Step-by-step explanation:

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3 years ago

After 8 hours of snow, the

Dmitrij [34]

Answer: -21.125 or -21 1/8 degrees

Explanation: Divide the number of degrees (-169) by the amount of time it was snowing (8) to get the answer (-21.125).

-169÷8=-21.125

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3 years ago

Write an expression for the following situation and solve. Mr. Simms bought 20 pencils. He used 1/4 of the pencils and then gave

Aleonysh [2.5K]

Hi!
1/4 of 20 pencils are 5 pencils.
Since he gave away 4 pencils,
Total = 5 + 4 = 9
Mr. Simms use and give away total 9 pencils.

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3 years ago