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Hunter-Best [27]
3 years ago
6

18) If the straight line y=m X touches the circle (x - 2)^2 + (y - 6)^2 = 4, then m= ......

Mathematics
1 answer:
fenix001 [56]3 years ago
8 0

Answer:

(8) d. 4/3    (9) a. (X - 4)^2 + (y-4)^2= 25

Step-by-step explanation:

8. CENTER OF CIRCLE: O (2,6)

     radius of circle : r = √4 = 2

if m = 4/3 line: y = 4/3 x

perpendicular distance (d) from center of circle to line y = 4/3 x is

d = |((4/3 x 2) + (-1) x 6)| / √((4/3)² + (-1)²) = |(-10/3)| / √(25/9) = (10/3) / (5/3) = 2

d = r means line touch with circle

9. center of circle is the intersection of the diagonals of rectangle (4,4) and its radius is 5 (illustrated)

the equation of circle: (X - 4)^2 + (y-4)^2= 25

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550 tickets were sold for a game for a total of $712.50. If adult tickets sold for $1.50 and children's tickets sold for $1.00,
EastWind [94]

9514 1404 393

Answer:

  • adult: 325
  • children's: 225

Step-by-step explanation:

It usually works well to let a variable represent the higher-value item in the mix. Here, we can let 'a' represent the number of adult tickets sold. Then the total revenue is ...

  1.50a +1.00(550 -a) = 712.50

  0.50a = 162.50 . . . . . . . . . . . . . subtract 550 and collect terms

  a = 325

  c = 550 -325 = 225

325 adult and 225 children's tickets were sold.

4 0
3 years ago
How many grams are in 8 kilograms?
shutvik [7]
I believe it is 8,000 grams :).
5 0
3 years ago
HELPP CAN YOU HELP ME PLZ IF U SOLVE THIS U WILL GET 50+ EXTRA POINTS AND BRAINLIEST HELP
KengaRu [80]

Answer:

Yes it is a function

Step-by-step explanation:

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5 0
3 years ago
A cricket weighs 7/6 gram. A grasshopper weighs 0.76 gram. Which insect weighs more?
Anit [1.1K]
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5 0
3 years ago
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3(x + 1) = -2 (x - 1) -4
AlekseyPX

Answer:

x = -1

Step-by-step explanation:

use distribution

3x + 3 = -2x + 2 - 4

simplify

3x + 3 = -2x - 2

combine like terms

3x + 3 = -2x - 2

-3x                -3x

3 = -5x - 2

+2         +2

5 = -5x

/-5     /-5

-1 = x

7 0
3 years ago
Read 2 more answers
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