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FrozenT [24]
3 years ago
8

Tell whether the equation 5x + y = 0

Mathematics
1 answer:
Fofino [41]3 years ago
5 0

Answer:

The equation 5x + y = 0  represents a direct variation

The  constant of variation is k=-5

Step-by-step explanation:

We need to tell if the equation 5x+y=0 represents a direction variation or not.

The equation for direct variation is: \mathbf{y=kx}

where k is constant of variation.

In the given equation:

5x+y=0\\y=-5x

Comparing it with general equation for direct variation \mathbf{y=kx} we get y=-5x so equation represents direct variation.

Value of k is -5

So, the  constant of variation is k=-5

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What the median 25,23,17,15,19,21,28,30,26,28
Musya8 [376]

Answer:

D

Step-by-step explanation:

the median is the middle value of a data set in ascending order

If there is not an exact middle then it is the average of the values on either side of the middle

Arrange data in ascending order

15, 17, 19, 21, 23, 25, 26, 28, 28, 30

the middle is between 23 and 25 , hence

median = \frac{23+25}{2} = \frac{48}{2} = 24


7 0
4 years ago
Read 2 more answers
( x, y) satisfies both equations y+18=x(x-3) and x=y+6
antoniya [11.8K]

Answer:

(- 2, - 8 ) , (6, 0 )

Step-by-step explanation:

y + 18 = x(x - 3) ← distribute

y + 18 = x² - 3x → (1)

x = y + 6 → (2)

Substitute x = y + 6  into (1)

y + 18 =(y + 6)² - 3(y + 6) ← expand parenthesis using FOIL

y + 18 = y² + 12y + 36 - 3y - 18

y + 18 = y² + 9y + 18 ( subtract y + 18 from both sides )

0 = y² + 8y = y(y + 8)

Equate each factor to zero and solve for y

y = 0

y + 8 = 0 ⇒ y = - 8

Substitute these values into (2) and evaluate for x

y = 0 : x = 0 + 6 = 6 ⇒ (6, 0 )

y = - 8 : x = - 8 + 6 = - 2 ⇒ (- 2, - 8 )

3 0
3 years ago
URGENT! DO NOT TROLL!
nexus9112 [7]
Hello!

The formula for area of a circle is \pi  r^{2}

\pi is 3.14 (which is 22/7), and r stand for the radius, which is half of the diameter. If the diameter is 28 cm, the radius is 14 cm.

\pi 14^{2}
\pi (196)
616

Answer:
Approximately 616 cm^{2}.

Hope this helps!
7 0
3 years ago
1. For each of the following, indicate whether it is a question that involves permutations, combinations, or neither, and then a
krek1111 [17]

Answer:

Step-by-step explanation:

we are given some scenerios and we are to find out the total number of ways after mentioning permutations, combinations, or neither

a. How many ways can a coach choose two co-captains from 16 players in the basketball team?

Combination because both are having same position so order does not matter

16C2 = 120

b. In how many ways can seven questions out of ten be chosen on an examination?

Combinations because order of question does not matter.

10C7 = 10C3 = 120

c. Find the number of ways that 10 women in the finals of the skateboard street competition can finish first, second, and third in the X Games final.

Here order matters.  Hence permutation

10P3 = 720

d. A postal zip code contains five digits. How many different zip codes can be made with the digits 0–9? Assume a digit can be repeated.

Here repitition is allowed.  So neither permutation nor combination.

No of ways = 10^5

8 0
3 years ago
Please help, thanks !​
wlad13 [49]
Act like the two triangles are one and to find z and find the others find z first comment if you didn’t understand and I will go into it with more detail
3 0
3 years ago
Read 2 more answers
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