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2 years ago

What is the solution to this system of linear equations? 7x – 2y = –6 8x y = 3 (–6, 3) (0, 3) (1, –5) (15, –1)

Mathematics

2 answers:

never [62]2 years ago

4 0

Answer: B

Step-by-step explanation:

erik [133]2 years ago

3 0

Answer:

$(0,3)$

Step-by-step explanation:

we have

$7x-2y=-6$ ----> equation A

$8x+y=3$ ----> equation B

Multiply the equation B by 2 both sides

$2(8x+y)=2*3$

$16x+2y=6$ ------> equation C

Adds equation A and equation C

$7x-2y=-6\\16x+2y=6\\--------\\7x+16x=-6+6\\23x=0\\x=0$

Find the value of y

$7(0)-2y=-6$

$-2y=-6$

$y=3$

the solution is the point $(0,3)$

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ziro4ka [17]

The fraction which produce an equivalent fraction with a rational denominator is $\left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)$

Explanation:

The equation is $\frac{3}{\sqrt{17}-\sqrt{2}}$

To find the rational denominator, let us take conjugate of the denominator and multiply the conjugate with both numerator and denominator.

Rewriting the equation, we have,

$\frac{3}{\sqrt{17}-\sqrt{2}}\left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)$

Multiplying, we get,

$\frac{3(\sqrt{17}+\sqrt{2})}{(\sqrt{17})^{2}-(\sqrt{2})^{2}}$

Simplifying the denominator, we get,

$\frac{3(\sqrt{17}+\sqrt{2})}{17-2}$

Subtracting, the values of denominator,

$\frac{3(\sqrt{17}+\sqrt{2})}{15}$

Dividing the numerator and denominator,

$\frac{\sqrt{17}+\sqrt{2}}{5}$

Hence, the denominator has become a rational denominator.

Thus, the fraction which produce an equivalent fraction with a rational denominator is $\left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)$

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The hypotenuse of a 45°-45°-90° triangle measures 10 StartRoot 5 EndRoot in. A right triangle is shown. The hypotenuse has a len

suter [353]

Answer:

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Step-by-step explanation:

we know that

The legs of a 45°-45°-90° triangle are congruent

Let

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Applying the Pythagorean Theorem

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Answer:

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First, let's find out the equivalent amount of one-sixth of the total length of 8 ft.

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