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3 years ago

Solve the system of equations by adding. Check your answer.

Mathematics

2 answers:

Inga [223]3 years ago

8 0

X= 5.333333333 + .8333333333y

Nonamiya [84]3 years ago

3 0

I hope it will help you

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Help with 21 would be much appreciated.

umka2103 [35]

Answer:

$\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}$

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{CD}{DB}$

We have

$AD=14-8=6\\CD=y\\DB=8$

Substitute:

$\dfrac{6}{y}=\dfrac{y}{8}$ cross multiply

$y^2=(6)(8)$

$y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}$

For x use the Pythagorean theorem:

$x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}$

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3 years ago

What is the decimal multiplier to increase by 3%?

vaieri [72.5K]

Answer:

1.03

Step-by-step explanation:

The increase is 3% above the original 100%, thus

multiplier = 100 + 3 = 103% = $\frac{103}{100}$ = 1.03

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3 years ago

Please help need this for today

Cloud [144]

All will apply except for (A, C, and E) because those lengths are less than 4/6. So (B, D and F) are the correct answers.

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Bob finishes his supper at 6:30 P.M. Then he studies for 55 minutes and spends 35 minutes playing video games before he watches

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He watches TV at around 8:00 P.M., though it could be any other time around the world.

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3 years ago

What is x in the equation 5^{3-2x} = 5^{-x} A) x = 3 B) x = 1 C) x = -1 D) x = -3

Naily [24]

Answer:

The answer is A) x equals 3

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3 years ago