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astraxan [27]
2 years ago
6

6x-4y=14 2x+8y=21 Solve by elimination

Mathematics
1 answer:
Viktor [21]2 years ago
8 0
I wrote some notes please read and if you not sure contact me

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Find the center and the radius of the circle with the equation: <br> x2+6x+y2+4y+12=0
Andrews [41]

Answer:

centre = (- 3, - 2) , radius = 1

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + 6x + y² + 4y + 12 = 0 ( subtract 12 from both sides )

x² + 6x + y² + 4y = - 12

Use the method of completing the square on the x and y terms

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(3)x + 9 + y² + 2(2)y + 4 = - 12 + 9 + 4

(x + 3)² + (y + 2)² = 1 ← in standard form

with centre = (- (- 3), - (- 2)) and r² = 1, that is

centre = (- 3, - 2) and radius = 1

8 0
3 years ago
8) The sides of a flower garden are shown in the diagram below. What is the perimeter of the flower garden? 4m 2 m​
jeka94

Answer:

18.28 m

Step-by-step explanation:

Given the flower garden in the question :

The shape is composite and can be divided into 2 semicirles and rectangle

The perimeter of a semicircle is the Circumference of the semicircle = πr

Hence, 2 semicirles = 2πr

Radius of semicircle = 2/2 = 1

Perimeter = 2 * 3.14 * 1² = 2 * 3.14 * 1 = 6.28 m

The perimeter of rectangle; length and width are 6m and 2 m respectively :

Perimeter of rectangle = 2(l + w) = 2(4+2) = 2(6) = 12m

Tve perimeter of garden = 6.28 + 12 = 18.28 m

8 0
2 years ago
if each cube inside the rectangular prism has an edge length of three-forth inch then what is the volume
sergeinik [125]
Base×hight×width you are just doing 3/4×3/4×3/4 and what ever your answer is put a little 3 above it so it almost looks like an exponent. Pretend that ABC is the answer it would look like this format = ABCinches3 but the three is tiny
3 0
3 years ago
Read 2 more answers
Please please please help me thanks
goldfiish [28.3K]

Answer:

1. 57       2. 81

Step-by-step explanation:

71x2=142   256-142=114/2= 57

5103/63= 81

5 0
2 years ago
What's the square footage of 24 by 17
WINSTONCH [101]
To do this question you need to multiply base times height. So it would be 24*17. After that, you should get 408 square feet.
8 0
3 years ago
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