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3 years ago

What is the solution to the following system of equations?

Mathematics

1 answer:

raketka [301]3 years ago

4 0

When you adding equations
x+2y+x-2y=2-2
2x=0
x=0,
only one choice, correct answer is (0,1)

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A nick on the edge of a CD rotates to (−6, 5) during one song when represented graphically.

Allisa [31]

By definition, the sine of an angle is given by:
$sin \alpha = \frac{C.O}{h}$
Where,
C.O: opposite leg
h: hypotenuse
The hypotenuse is given by:
$h = \sqrt{(-6)^2+(5)^2}$
$h = \sqrt{(61}$
So, replacing values we have:
$sin \alpha = \frac{5}{\sqrt{61}}$
Rewriting we have:
$sin \alpha = \frac{5\sqrt{61}}{61}$
Answer:
the sine value of this function is:
A)5 times square root 61 over 61

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4 years ago

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Identify the equation in slope-intercept form for the line containing the point (2,1) and parallel to y=5/3x−1/3.

Murljashka [212]

Answer:

Step-by-step explanation:

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3 years ago

What is 444x212 pls answer

Arisa [49]

Answer:

94,128

Step-by-step explanation:

4 0

4 years ago

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Look at the shaded shapes drawn on a square grid.

prisoha [69]

Answer:yes

Step-by-step explanation:

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3 years ago

What is the true solution to the equation below?

jarptica [38.1K]

Answer:

Step-by-step explanation:

some rules of logarithmic function

$ln(a) - ln(b)=ln(\frac{a}{b})$

$e^{ln(a)}=a$

$ln(a)^{n}=nln(a)$ vice-versa $nln(a)=ln(a)^{n}$

If ㏑(a) = ㏑(b), then a = b

∴ $2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)$

Use the 2nd rule to simplify it

$e^{ln(2x)}=2x\\e^{ln(10x)}=10x\\$

2㏑(2x) - ㏑(10x) = ㏑(30)

Use the 3rd rule in the 1st term

∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)

∴ ㏑(4x²) - ㏑(10x) = ㏑(30)

- Use the 1st rule with the left hand side

$ln(4x^{2})-ln(10x)=ln(\frac{4x^{2}}{10x})\\\\ln(\frac{4x^{2}}{10x})=ln(30)\\\\ \frac{4x^{2}}{10x}=\frac{2x}{5}=\frac{2}{5}x\\\\ ln(\frac{2}{5}x)=ln(30)$

Use the 4th rule

$\frac{2}{5} x = 30$

Multiply both sides by 5

∴ 2 x = 150

- Divide both sides by 2

∴ x = 75

The value of x = 75

3 0

3 years ago