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My name is Ann [436]
3 years ago
7

I need help with these three.

Mathematics
1 answer:
lbvjy [14]3 years ago
7 0
What are all the choices
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What are the center and radius of the circle defined by the equation x^2 + y^2 -6x + 4y + 4=0
Sloan [31]

The equation of a circle:

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

(h, k) - a coordinates of the center

r - a radius

x^2+y^2-6x+4y+4=0\ \ \ |-4\\\\x^2-2\cdot x\cdot3+y^2+2\cdot y\cdot2=-4\ \ \ |+3^2\ |+2^2\\\\\underbrace{x^2-2\cdot x\cdot3+3^2}_{(a-b)^2=a^2-2ab+b^2}+\underbrace{y^2+2\cdot y\cdot2+2^2}_{(a+b)^2=a^2+2ab+b^2}=-4+3^2+2^2\\\\(x-3)^2+(y+2)^2=3^2

Answer:

the center: (3, -2)

the radius: 3

5 0
3 years ago
When 8 is subtracted from a certain number and the result is multoplied by 3
Natali [406]
15
15 - 8 = 7
7 • 3 is 21
6 0
3 years ago
Read 2 more answers
Megan received a $208,000 inheritance after taxes from her parents. She invested it at 8% interest compounded quarterly for 5 ye
Nookie1986 [14]
Use the compound interest formula.
  A = P*(1 +r/n)^(n*t)
where P is the principal, r is the annual rate, n is the number of compoundings per year, and t is the number of years.

For the first investment, ...
  A = 208,000*(1 +.08/4)^(4*5) = 309,077.06

For the second investment, ...
  A = 218,000*(1 +.07/2)^(2*4) = 287,064.37

Totaling both investments at maturity, Megan has $596,141.43.
3 0
3 years ago
Would each of them be able to be the side lengths of a triangle?
ratelena [41]
Pythagoras Theorem:
hipotenuse²=leg₁²+leg₂²

First posible triangle:
hypotenuse=13    (13²=169)
leg₁=12                ( 12²=144)
leg₂=5                  (5²=25)

13³=144 + 25


Answer:can be side lengths of a triangle

Second triangle:
 hypotenuse=12.6    (12.6²=158.76)
leg₁=6.7                ( 6.7²=44.89)
leg₂=6.5                  (6.5²=42.25)

leg₁²+leg₂²=44.89+42.25=87.14≠158.76

Answer: cannot be side lenghts of a triangle.

third triangle:
hypotenuse=13    (13²=169)
leg₁=12                ( 12²=144)
leg₂=11                  (11²=121)

leg₁²+leg₂²=144+121=265≠169

Answer: cannot be side lenghts of a triangle.

fourth triangle:
hypotenuse=13   (13²=169)
leg₁=6                ( 6²=36)
leg₂=4                  (4²=16)

leg₁²+leg₁²=36+16=52≠169

Answer: cannot be side lenghts of a triangle.
8 0
3 years ago
Read 2 more answers
8. A rectangular prism has a volume of 468 cubic meters. It has a length of 12 meters and a width of 6 meters. What is the heigh
evablogger [386]
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6 0
3 years ago
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