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3 years ago

6

2x+3y=11 x-3y=1 What is the solution (x,y) to the given system of equations?

2 answers:

Advocard [28]3 years ago

5 0

Answer:

Step-by-step explanation:

emmasim [6.3K]3 years ago

4 0

Step-by-step explanation:

Add both equations up.

(2x + 3y) + (x - 3y) = 11 + 1

3x = 12

x = 4

Now we can find y.

x - 3y = 1

4 - 3y = 1

y = 1

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Ella used 3 fourths of lemons to make one half liters of lemonade. If Ella's recipe is for 1 liter of lemonade, how many lemons

erma4kov [3.2K]

Answer:

6 Total lemons

Step-by-step explanation:

1 1/2 lemons per 1 liter of lemonade

1 1/2 times 4

= 6 total lemons

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3 years ago

Perform the indicated operations. Write the answer in standard form, a+bi.<br> 5-3i / -2-9i

Vsevolod [243]

$\huge \boxed{\mathfrak{Answer} \downarrow}$

$\large \bf\frac { 5 - 3 i } { - 2 - 9 i } \\$

Multiply both numerator and denominator of $\sf \frac{5-3i}{-2-9i} \\$ by the complex conjugate of the denominator, -2+9i.

$\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2-9i\right)\left(-2+9i\right)}) \\$

Multiplication can be transformed into difference of squares using the rule: $\sf\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}$ .

$\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2\right)^{2}-9^{2}i^{2}}) \\$

By definition, i² is -1. Calculate the denominator.

$\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{85}) \\$

Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.

$\large \bf \: Re(\frac{5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9i^{2}}{85}) \\$

Do the multiplications in $\sf5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9\left(-1\right)$ .

$\large \bf \: Re(\frac{-10+45i+6i+27}{85}) \\$

Combine the real and imaginary parts in -10+45i+6i+27.

$\large \bf \: Re(\frac{-10+27+\left(45+6\right)i}{85}) \\$

Do the additions in $\sf-10+27+\left(45+6\right)i$ .

$\large \bf Re(\frac{17+51i}{85}) \\$

Divide 17+51i by 85 to get $\sf\frac{1}{5}+\frac{3}{5}i \\$ .

$\large \bf \: Re(\frac{1}{5}+\frac{3}{5}i) \\$

The real part of $\sf \frac{1}{5}+\frac{3}{5}i \\$ is $\sf \frac{1}{5} \\$ .

$\large \boxed{\bf\frac{1}{5} = 0.2} \\$

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2 years ago

Whats 42/99 in simplest form.

const2013 [10]

Answer:

14/33

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Determine the probability of having 2 girls and 3 boys in a 5-child family assuming boys and girls are equally likely.

Andrew [12]

The correct answer is 5/16.

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2 years ago

Round Ed to the nearthest tenth and answer now question

Vikki [24]

Answer:

$y = 9.1$

Step-by-step explanation:

y can be found using the Law of sines as explained below:

m < Y = 106°

m < X = 58°

WY = x = 8

WX = y = ?

Thus,

$\frac{x}{sin(X)} = \frac{y}{sin(Y)}$

$\frac{8}{sin(58)} = \frac{y}{sin(106)}$

$\frac{8}{0.848} = \frac{y}{0.961}$

Multiply both sides by 0.961 to solve for y

$\frac{8}{0.848}*0.961 = \frac{y}{0.961}*0.961$

$\frac{8*0.961}{0.848} = y$

$\frac{8*0.961}{0.848}*0.961 = y$

$9.07 = y$

$y = 9.1$ (to the nearest tenth)

7 0

3 years ago