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3 years ago

If 2x + 3z = 12, and z = -2, then x=6 true or false

Mathematics

1 answer:

zalisa [80]3 years ago

4 0

2x + 3z = 12 and z = -2, then x=6

2x + 3(-2) = 12
2x = 18
x = 9

answer

False

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Find the length of side y

Serggg [28]

Answer:

$\large\boxed{y=76.3359\ cm\approx76.3\ cm}$

Step-by-step explanation:

Use cosine:

$cosine=\dfrac{adjacent}{hypotenuse}$

We have

$adjacent=73\ cm\\hypotenuse=y$

and the angle 17°.

$\cos17^o\approx0.9563$

Substitute:

$\dfrac{73}{y}=0.9563$ convert the decimal to the fraction

$\dfrac{73}{y}=\dfrac{9563}{10000}$ cross multiply

$9563y=730000$ divide both sides by 9563

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3 years ago

Solve the system using elimination. 3x + 3y = –9 3x – 3y = 21

scoundrel [369]

Answer:

y=-5,x=2

Step-by-step explanation:

3x+3y=-9________________eqn 1

3x-3y=21________________eqn 2

using elimination method

3x+3y=-9

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subtract equation 2 from equation 1

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6 0

3 years ago

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Elena L [17]

Answer:

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3 years ago

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ipn [44]

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We're dividing fractions, so we will flip the one in the denominator upside down and we will multiply it with the numerator.

$\frac { \frac { 5 }{ 2 } }{ \frac { 16 }{ 3 } } \quad =\quad \frac { 5 }{ 2 } \cdot \frac { 3 }{ 16 } =\frac { 5\cdot 3 }{ 2\cdot 16 } =\frac { 15 }{ 32 }$

Let's equal this too 8/x

$\frac { 15 }{ 32 } =\frac { 8 }{ x }$

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Divide both sides by 15.

$\frac { 256 }{ 15 } =\frac { 15x }{ 15 } \\ \\ \frac { 256 }{ 15 } =x$

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3 years ago