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trapecia [35]
3 years ago
11

Help you will get brainliest

Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer:

4.25

Step-by-step explanation:

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Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and
Aleks04 [339]

Given:

The equation of a circle is:

x^2+4x+y^2-6y=-4

To find:

The center and radius of the circle.

Solution:

We have,

x^2+4x+y^2-6y=-4

To make complete square add square of half of x and square of half of y on both sides.

x^2+4x+y^2-6y+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-6}{2}\right)^2=-4+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-6}{2}\right)^2

x^2+4x+y^2-6y+\left(2\right)^2+\left(-3\right)^2=-4+(2)^2+(-3)^2

(x^2+4x+4)+(y^2-6y+9)=-4+4+9

(x+2)^2+(y-3)^3=9

(x+2)^2+(y-3)^3=3^2             ...(i)

The standard form of a circle is:

(x-h)^2+(y-k)^2=r^2              ...(ii)

On comparing both sides, we get

h=-2,k=3,r=3

Therefore, the center of the circle is (-2,3) and the radius is 3 units.

8 0
3 years ago
A high school graduating class is made up of 440 students. There are 168 more girls than
xz_007 [3.2K]

Answer:

272

Step-by-step explanation:

calculator

8 0
3 years ago
Read 2 more answers
How can I solve this?
Inessa [10]

Answer:

We see that the big triangle is an equilateral triangle, so all its angles will measure 60°. Therefore x° will be 60° - 30° = 30°, as he's the base angle of an isosceles triangle having the other base angle of 30°. y will simply be 180° - 60° (remembering that the sum of the angles in a triangle is always 180°).

3 0
3 years ago
Read 2 more answers
Simplify (1/4 ad^3)^2
Dima020 [189]
That "ad^3" bothers me; I'm not sure what you mean here.

I'm going to assume that you have     (1/4*a*d^3)^2.

If that's the case, then you have (1/4)^2 * a^2 * d^6 = (1/16)*a^2*d^6.

If this is not what you were hoping for, double check to ensure that you have copied down this problem exactly as it was presented.


7 0
3 years ago
Help me with this pls show work
svp [43]

3x + y = 10

x - 4y = -1

Multiply the 2nd equation by -3

-3x +12y = 3

Add the 1st equation to the 3rd equation:

13y = 13

Divide both sides by 13:

y = 1

Answer: A) 1

7 0
3 years ago
Read 2 more answers
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