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Ierofanga [76]
3 years ago
15

What is the solution of the system? 10x – 2y = 24 6x+2y = 8

Mathematics
1 answer:
Stels [109]3 years ago
7 0

Answer: x = 2 , y = 5

Step-by-step explanation:

10x - 2y = 24 ..................... equation 1

6x + 2y = 8 ........................ equation 2

solving the system of linear equation by elimination method , add equation 1 and 2

16x = 32

divide through by 16

x = 2

substitute x = 2 into equation 1 to find the value of y

10(2) - 2y = 2y

20 - 2y = 2y

20 = 4y

y = 5

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melisa1 [442]
n - (-13)
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3 years ago
What are the factors of 45?
podryga [215]
Factors: Numbers that can multiply into a certain number.

The factors of 45 are:
1 (x 45)
3 (x 15)
5 (x 9)
9 (x 5)
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1 (x 45)


4 0
3 years ago
Read 2 more answers
The graph shows the volume of ice cubes versus temperature in degrees
drek231 [11]

Answer:

A. The data show a negative linear relationship.

Step-by-step explanation:

According to the attached image as we can see that the temperature is in Y axis and volume of ice cubes is in X axis

So the following statements considered to be true

a. The volume represents the explanatory variable

b. Temperature would be strongly correlated to the ice cubes volume

c. As the correlation coefficient is near to -1

But it does not show the negative linear relationship

Therefore the correct option is a.

7 0
3 years ago
Given a right triangle with sides a = 3 , b = 4, and c = 5. Find the missing side c of another right triangle with a = 6 and b =
horsena [70]

<em>c = 10</em>

Step-by-step explanation:

We can find out the missing side of a right triangle by using the Pythagorean theorem.

The Pythagorean theorem is...

a^2+b^2=c^2

We can even double check the first problem by plugging in everything into the theorem and solving, everything will come out correct. We can plug in the numbers from the second problem into the theorem and find c, also please note that the hypotenuse of a triangle will <em>always </em>be c. It doesn't matter which you put in for a or b, but since the problem gives us which one is a and which one is b, I'll just be plugging it in like that.

6^2+8^2=c^2

36+64=c^2

100=c^2

A lot of people will stop here and think that the answer is 100, but you need to find the square root of 100, since c is squared. The square root of 100 is 10, so...

<em><u>c = 10</u></em>

7 0
3 years ago
Find all possible values of x in the similar triangles pqr stu
antoniya [11.8K]
If triangles PQR and STU are similar then PQ corresponds to ST and PR corresponds to SU. Therefore, PQ/ST=PR/SU
Considering that, PQ= 7-x, ST= 13-x, PR= x²+5 and SU= x² +20
therefore, (7-x)/(13-x)= (x²+5)/(x²+20) 
               cross multiplying,
         7x² +140-x³+20x =13x²+65-x³-5x
combining the like terms,
          6x² +15x -75=0
          solving for x,
    x = 5/2 or -5 
5 0
3 years ago
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