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harkovskaia [24]
3 years ago
10

20 points!! Solve this system of lineal equations.separate the x- and y- values with a comma

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
7 0
Solve the following system:{12 x = 54 - 6 y | (equation 1)-17 x = -6 y - 62 | (equation 2)
Express the system in standard form:{12 x + 6 y = 54 | (equation 1)-(17 x) + 6 y = -62 | (equation 2)
Swap equation 1 with equation 2:{-(17 x) + 6 y = -62 | (equation 1)12 x + 6 y = 54 | (equation 2)
Add 12/17 × (equation 1) to equation 2:{-(17 x) + 6 y = -62 | (equation 1)0 x+(174 y)/17 = 174/17 | (equation 2)
Multiply equation 2 by 17/174:{-(17 x) + 6 y = -62 | (equation 1)0 x+y = 1 | (equation 2)
Subtract 6 × (equation 2) from equation 1:{-(17 x)+0 y = -68 | (equation 1)0 x+y = 1 | (equation 2)
Divide equation 1 by -17:{x+0 y = 4 | (equation 1)0 x+y = 1 | (equation 2)
Collect results:Answer:  {x = 4 {y = 1


Please note the { are supposed to span over both equations but it interfaces doesn't  allow it. Please see attachment for clarification.

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Ind the roots of 3(x – 2)2 = 12.
blagie [28]

Answer:

x=4

Step-by-step explanation:

If you plug this in, you get 3(4-2)2=12. Simplify to 3 times 2 times 2, which equals 12. Stay Safe and Have a Magnificent Day!!!!!!;):)

6 0
3 years ago
Please help me i am desperate please (1/3)
Sergeu [11.5K]

I think we're not supposed to do more than 3 problems in one answer; certainly not five pages. Does the 1/3 mean there are 10 more to come?

I'll do the first page.

6)

Right triangle, opposite side of 10, adjacent side of 21,

tan x = opp/adj = 10/21

x = arctan 10/21 = 25.46°

Answer: 25

7)

cos x =   adj / hyp = 10/14

x = arccos 10/14 = 44.42°

Answer: 44

8)

tan x = opp/adj = 12/24 = 1/2

x = arctan 1/2 = 26.57°

Answer: 27

9)

tan x = 31/32

x = arctan 31/32 = 44.09°

Answer: 44

10)

x = arctan 10/27 = 20.32°

Answer: 20

8 0
3 years ago
A teacher shares pencils among his three students Anne, Lucy and John. Anne gets 5 times as many pencils as Lucy, and Lucy gets
Anna [14]

Answer:

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Step-by-step explanation:

7 0
3 years ago
in class, matthew stated "i think that a negative is like an opposite. That is why multiplying a negative times a negative equal
sveticcg [70]
Yes and no. A negative number and it's opposite are 'integers.' Yes, a negative and a negative multiplied together give you a positive. The two negative signs cancel out making it positive. But no, a positive and a positive multiplied together do not give you a negative. When you subtract positive numbers you can get a negative, but not when multiplying. If you were to do a positive times a negative it would be negative because the positive can't cancel it out. Example: -3 · -3 = 9. [] 3 · 3 = 9. [] -3 · 3 = -9. Other than the positive number part, the statement is true about the negatives. I hope that helped!
8 0
3 years ago
Read 2 more answers
How do you find the missing height of a triangle?
g100num [7]

Answer:

Use the Pythagorean theorem

Step-by-step explanation:

The pythagorean theorem is a^{2} +b^{2} =c^{2} where a is a height, b is a height, and c is the hypotenuse, which is the longest side of a triangle. For example, if the triangle has two side with lengths of three and four we would put them into the equation to get:

3^{2} +4^{2} =c^{2}

Simplify the equation to get:

9+16=c^2

Add 16 and 9 to get 25 and take the square root of both sides:

\sqrt{25} =c

The sqrt of 25 is 5. Therefore, the length of the hypotenuse, or c, is 5.

8 0
3 years ago
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