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allsm [11]
2 years ago
5

The equation, 3x2 6x 3y2 7y 4 = 0, represents a conic. The conic represented by the equation is a/an because.

Mathematics
1 answer:
Taya2010 [7]2 years ago
3 0

The given equation is an equation of a circle because it looks similar to the general equation of a circle.

<h3>What is the general equation of a circle?</h3>

The general equation of a circle is:

x² + y² +2gx + 2fy + c = 0...........eq1

Where (-g, -f) is the center of the circle.

c is a constant

Given equation is

3x² +6x + 3y²+7y+4 = 0

Let us take 3 as common

x² + 2x+y²+7/3y + 4/3 = 0

Let us rearrange the equation

x² + y²+2x +7/3y + 4/3 = 0...........eq2

Now look at eq1 and eq2

We got that eq2 is having a similar pattern as eq1.

Therefore, The given equation is an equation of a circle.

To get more about circle visit:

brainly.com/question/1506955

You might be interested in
The area of the sandbox is 56 2/3 square feet. The width is 8 1/2 feet. What is the length? Hint: Divide area by length
sertanlavr [38]

Answer:

20/3 ft or 6 2/3 ft

Step-by-step explanation:

A = 56 2/3 sq ft

W = 8 1/2 ft

L = ?

A = LW

L = A/W

L = \dfrac{A}{W}

L = \dfrac{56~\frac{2}{3}~sq~ft}{8~\frac{1}{2}~ft}

Change the mixed numbers into fractions.

a\frac{b}{c} = \dfrac{ac + b}{c}

L = \dfrac{\frac{56 \times 3 + 2}{3}}{\frac{8 \times 2 + 1}{2}}

L = \dfrac{\frac{170}{3}}{\frac{17}{2}}

L = \dfrac{170}{3} \div \dfrac{17}{2}

L = \dfrac{170}{3} \times \dfrac{2}{17}

L = \dfrac{170 \times 2}{3 \times 17}

L = \dfrac{17 \times 10 \times 2}{3 \times 17}

L = \dfrac{10 \times 2}{3}

L = \dfrac{20}{3}

Answer: 20/3 ft or 6 2/3 ft

4 0
4 years ago
Buzz and Jessie are missing each other and their friend Woody. They want to meet at Woody's house which is halfway between their
sammy [17]

Answer:10x + 26

Step-by-step explanation:

6 0
3 years ago
A farmer has some hens and goats. He counts a total of 60 eyes and 86 feet between them. How many hens does he have?.
ra1l [238]

The farmer has 17 hens.

<h3>What is a linear equation in two variables ?</h3>

An equation is linear if has highest degree of 1 and it has two variables.Generally they are in x and y.

For example -: 2x + 3y = 10

According to the given question a farmer has some hens and goats. He counts a total of 60 eyes and 86 feet between them.

Let us denote Hens by H and Goats by G.

We know both of them has 2 eyes each and we also know that a Hen has 2 legs and a Goat has 4 legs.

There fore the given data we can form two equations.

2H + 2G = 60 and 2H + 4G = 86.

Solving these two equations we have G = 13 and H = 17.

learn more more about linear equation in two variables here :

brainly.com/question/24085666

#SPJ4

3 0
2 years ago
78.75 is what percent of 225?
viva [34]

Answer:

35%

Step-by-step explanation:

1. Multiply 78.75 by 100

78.75* 100 = 7875

2. Divide this by 225

7875/225 = 35

3. Make this number a precent 35%

5 0
3 years ago
(Right angle Trigonometry) Please help me solve and explain!
laila [671]

Answer:

31.3

Step-by-step explanation:

Reference angle given = 56.1°

Hypotenuse = 56.1

Adjacent side = x = ?

We would apply CAH, which is:

Cos 56.1° = Adj/Hyp

Cos 56.1° = x/56.1

56.1 × Cos 56.1° = x

31.2895006 = x

x = 31.3 (approximated to the nearest tenth)

8 0
3 years ago
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