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il63 [147K]
2 years ago
5

Find the value of c that completes the square. k^2-18k+c

Mathematics
2 answers:
eimsori [14]2 years ago
4 0

Answer:

c = 81

(k-9)(k-9)

k²-18k +81

sdas [7]2 years ago
4 0

Answer:

Discriminant(D) = 0

Therefore b² = 4ac

when b = -18, a = 1, c = c

puting the values in the equation...

(-18)² = 4(1) x C

324 = 4C

divide though by 4

we have : C = 324/4

C = 81

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A die is loaded so that the number 6 comes up three times as often as any other number. what is the probability of rolling a 1 o
Mila [183]

Answer:

1/2.

Step-by-step explanation:

Probability totals must add up to 1.

P = probability.

If P(any number other than 6) = x,  then P(6) = 3x, so

3x + 5x = 1

x = 1/8

P(6) = 3/8 and P(not 6) = 1/8

Therefore P(6 or 1) = 3/8 + 1/8 = 1/2 (answer).


4 0
3 years ago
Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or movie. Adrian will earn $
gayaneshka [121]

Answer:

Adrian's songs played on 9 commercials and 5 movies.

Step-by-step explanation:

Let x denotes number of commercials and y denotes number of movies.

Total number of commercials and movies = 14

So,

x+y=14\\x=14-y\,\,\,\,...(i)

Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie

Total amount earned = $1010

40x+130y=1010\,\,\,...(ii)

Put x=14-y in (ii)

40(14-y)+130y=1010\\560-40y+130y=1010\\90y=1010-560\\90y=450\\y=\frac{450}{90}=5

Put y=5 in x=14-y

x=14-5=9

Therefore, Adrian's songs played on 9 commercials and 5 movies.

7 0
3 years ago
Given f(x)=4x^2−5 and g(x)=x+3 . What is (fg)(x) ?
zmey [24]
(fg)(x)=f(g(x))=4(g(x))²-5=4(x+3)²-5=4x²+24x+31
4 0
3 years ago
Read 2 more answers
8 Select the correct answer from each drop-down menu. Some of the images in the diagram are images of polygon 1 from similarity
makkiz [27]

It should be noted that Polygon 3 and polygon 4 are similar to polygon 1.

<h3>What exactly is polygon?</h3>

In geometry, it should be noted that a polygon is a plane figure which is described by a finite number of straight line segments that are connected in order to form a closed polygonal chain.

In this case, the bounded plane region, the bounding circuit, may be called a polygon. Also, a similarity transformation is the conformal mapping whose transformation matrix are identical.

In this case, it should be noted that Polygon 3 and polygon 4 are similar to polygon 1.

Learn more about polygon on:

brainly.com/question/24966296

#SPJ1

8 0
2 years ago
When are x+3 and 2x equal? When are they not equal? Use your diagrams to explain.
Tanzania [10]
Yes hope this helps :)


4 0
3 years ago
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