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Helga [31]
3 years ago
7

Simultaneous equations x^2+3xy=10 x=2y

Mathematics
1 answer:
satela [25.4K]3 years ago
8 0

9514 1404 393

Answer:

  (x, y) = (-2, -1) or (2, 1)

Step-by-step explanation:

Substitute for x in the first equation:

  (2y)^2 +3(2y)y = 10

  10y^2 = 10

  y^2 = 1

  y = ±1

  x = 2y = ±2

Solutions are (x, y) = (-2, -1) or (2, 1).

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The polygons are similar. Find the missing side length.
zloy xaker [14]

Answer:

44

Step-by-step explanation:

Since triangles are similar, so their corresponding sides would be in proportion.

Therefore,

\frac{24}{32}  =  \frac{33}{?}  \\  \\  \\ ? =  \frac{32 \times 33}{24}  \\  \\ ? =  \frac{4\times 33}{3} \\  \\ ? =  4\times 11 \\  \\  ? =  44 \: units

6 0
2 years ago
For the choir concert, the choir director has asked that everyone wear either black pants or blue jeans. Three times as many stu
Katyanochek1 [597]

Answer: 33 students wore blue jeans .

Step-by-step explanation:

Let x be the number of black pants.

Given : For the choir concert, the choir director has asked that everyone wear either black pants or blue jeans.

Three times as many students wore black pants as blue jeans.

i.e. Number of blue pants = 4x

If there are forty-four students in the choir, then we have

x+3x=44\\\\\Rightarrow\ 4x=44

Divide both sides by 4 , we get

x=11

Thus , the number of black pants = 11

Then , the number of blue pants = 3\times11=33

Therefore, 33 students wore blue jeans .

6 0
3 years ago
2x+3 less than or equal to 5
rjkz [21]
2x+3 \leq 5 \\  \\ (2x+3)-3 \leq (5)-3 \\  \\ 2x \leq 2 \\  \\   \frac{2x}{2}  \leq  \frac{2}{2}  \\  \\ x \leq 1 \\  \\x=( -\infty} ,1]
6 0
3 years ago
Read 2 more answers
Grandma has just finished baking a large rectangular pan of brownies. She is planning to make rectangular pieces of equal size a
Nikitich [7]

Answer: 60

Step-by-step explanation:

Let the side lengths of the rectangular pan be m and n. It follows that (m-2)  (n-2)= mn/2

So, since haf of the brownie pieces are in the interior. This gives 2 (m-2) (n-2) =mn

mn- 2m - 2n- 4 = 0

Then Adding 8 to both sides and applying, we obtain (m-2) (n-2) =8

Since now, m and n are both positive, we obtain (m,n) = (5,12), (6,8) (up to ordering). By inspection, 5. 12 = 60

which maximizes the number of brownies in total which is the greatest number.

Hope that helped! =)

7 0
3 years ago
Donal currently has 7,200 points in his fantasy baseball league, which is 20% more points than Scott How many points does Scott
zlopas [31]

Answer:

5760

Step-by-step explanation:

7200-20%=5760

7 0
3 years ago
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