2 years ago

2.2.3 math functions and tables

Mathematics

1 answer:

Over [174]2 years ago

7 0

Answer:

What?

Step-by-step explanation:

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Q8 Q3.) Solve the system by the substitution method.

inn [45]

Recall that $(x+y)^2=x^2+2xy+y^2$ . So we can add twice the first equation to the second one to get

$x^2+y^2+2xy=10+2\cdot3\iff(x+y)^2=16\implies x+y=\pm4$

Since $xy=3$ , we have $y=\dfrac3x$ $(x\neq0)$ so

$x+y=x+\dfrac3x=\pm4\implies x^2\mp4x+3=0$

If $x+y=4$ , then

$x^2-4x+3=(x-3)(x-1)=0\implies x=3,x=1\implies y=1,y=3$

If $x+y=-4$ , then

$x^2+4x+3=(x+1)(x+3)=0\implies x=-1,x=-3\implies y=-3,y=-1$

So the solution set is

$(x,y)\in\{(-3,1),(1,3),(-1,-3),(-3,-1)\}$

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2 years ago

GIVING OUT BRAINLIST QUICK! NUMBER 6

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

AREA=LW

L₁W₁=40

L₂W₂=160

x(L₁W₁)=L₂W₂

x(40)=160

x=40

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2 years ago

If you know 72=9×8,then _is_times as many as_

Leokris [45]

Answer:

10 is 10 times as many as 10

Step-by-step explanation:

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2 years ago

What is multiplied to equal 30 but is added to equal -17?

GalinKa [24]

7
HASUJGUVBG DUa bgiAD GUI bgaoudbg

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2 years ago

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Two cars leave from the same point (A) and travel along a straight road, which are at angle of 78° to each other. If their speed

densk [106]

T=(60cos78, 60sin78)

T=(12.47, 58.69)

C=45

d=√((45-12.47)^2+58.69^2)

d≈67.1km

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2 years ago

2.2.3 math functions and tables​

2.2.3 math functions and tables