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Anvisha [2.4K]
3 years ago
9

What is the radius and center of the circle given by the equation (x-5)^{2}+(y+2)^{2} = 81/4

Mathematics
1 answer:
artcher [175]3 years ago
6 0

Answer:

The center is (5, -2) and the radius is 9/2

Step-by-step explanation:

The equation of a circle can be written by

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

where (h,k) is the center and r is the radius

(x-5)^{2}+(y+2)^{2} = 81/4

( (x-5)^{2}+(y- -2)^{2} = (9/2)^2

The center is (5, -2) and the radius is 9/2

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6.70 for paint brushes. for 2 is 6.70×2=$13.40

35-13.40=$21.60 left after 2 paint brushes

4.80×4=$19.20 for 4 tubes of paint

21.60-19.20=$2.40 left after 4 tubes of paint and 2 paint brushes



6 0
3 years ago
An unfair coin with​ Pr[H] = 0.75 is flipped. If the flip results in a​ head, a student is selected at random from a class of si
Agata [3.3K]

Answer:

72.73% probability of selecting a​ girl, given the flip resulted in​heads

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Coin resulted in heads

Student is selected at random from a class of six boys and sixteen girls.​

Desired outcomes:

16 girls, so D = 16

Total outcomes:

16+6 = 22, that is, 22 students, so T = 22

Probability:

P = \frac{16}{22} = 0.7273

72.73% probability of selecting a​ girl, given the flip resulted in​heads

7 0
3 years ago
How many hours are 260 minutes
JulijaS [17]
4 hours for short or 4.333 hours
8 0
3 years ago
Read 2 more answers
What is the total surface area of this rectangular pyramid?
umka2103 [35]

Answer:

225 square feet

Step-by-step explanation:

the base of the pyramid would be 76 ft², since 12*6=72. Then you get the surface area of the sides. 2 of the sides would be 48 ft², since (12*8)/2=48. The other 2 sides would be 28.5 ft², since (6*9.5)/2-28.5. Then you just add the surface areas of all the sides; 76+48+48+28.5+28.5 to get 225.

Hope this helps! :)

4 0
2 years ago
Read 2 more answers
Which is the graph of g(x) = ⌈x + 3⌉?
77julia77 [94]
ANSWER

\boxed {D}


EXPLANATION


The given function is,

g(x) = ⌈x + 3⌉

The parent function of this ceiling function is

g(x) = ⌈x ⌉

When this function is shifted horizontally 3 units to the left, we obtain the transformed function,

g(x) = ⌈x + 3⌉


The correct answer is option D.

See attachment.

6 0
3 years ago
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