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natulia [17]
3 years ago
7

Find all the points, if any, where the graph of 12x-5y=0 intersects (x+12)^2+(y-5)^2=169.

Mathematics
2 answers:
WITCHER [35]3 years ago
6 0
I: 12x-5y=0
II:(x+12)^2+(y-5)^2=169

with I:
12x=5y
x=(5/12)y
-> substitute x in II:
((5/12)y+12)^2+(y-5)^2=169
(25/144)y^2+10y+144+y^2-10y+25=169
(25/144)y^2+y^2+10y-10y+144+25=169
(25/144)y^2+y^2+144+25=169
(25/144)y^2+y^2+169=169
(25/144)y^2+y^2=0
y^2=0
y=0

insert into I:
12x=0
x=0

-> only intersection is at (0,0) = option B
Serga [27]3 years ago
5 0

Answer:

(0,0)

Step-by-step explanation:

If you graph 12x-5y=0 and (x+12)^2+(y-5)^2=169 along with the points (0,0) and (4.5, 10,9) you with see that the equations intersect at (0,0)

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The Kansas predicted that in 2018 the population in Centerville would be 17,466 and actuality it was 16,400 what is the percent
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Answer:

6.5%

Step-by-step explanation:

Percentage error formula =

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From the above question,

Estimated value = 17,466

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Percentage error = |17,466 - 16,400|/16,400 × 100

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(5 - 3)⁴ - 2(7) + 8² = ?
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Answer:

66

Step-by-step explanation:

(5 - 3)⁴ - 2(7) + 8²

PEMDAS

Parentheses first

(2)⁴ - 2(7) + 8²

Exponents

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Multiply and divide from left to right

16 -14 +64

Add and subtract from left to right

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7 0
3 years ago
Many people feel that the drying of pavement marking paint is much too slow. You spend several days looking for the fastest dryi
slavikrds [6]

Answer:

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Step-by-step explanation:

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where  

n = sample size

Z = the z-score corresponding to the confidence level 99.5%

S = the assumed standard deviation = 3 seconds

e = margin of error = 2 seconds

<em>It is worth noticing that the higher the confidence level, the larger the sample should be. </em>

The z-score corresponding to a confidence level of 99.5% can be obtained either with a table or the computer and equals

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Answer:

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Step-by-step explanation:

We are give two polygons.

Sides of first polygon are :

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2 years ago
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