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3 years ago

What is the value of x?

Mathematics

2 answers:

kicyunya [14]3 years ago

5 0

Answer:

x = 5√3

Step-by-step explanation:

From SOHCAHTOA you might recall that sin x = opposite/hypotenuse

So sin 60° = x/10

sin 60° = 0.5 √3

so x = 10*0.5√3 = 5√3

Dvinal [7]3 years ago

5 0

Answer:

$sin\alpha=opposite/hypotenuse\\\\sin60=\frac{x}{10}\\ \\\frac{\sqrt{3}}{2}=\frac{x}{10}\\ \\2x=10\sqrt{3}\\ \\x=\frac{10\sqrt{3}}{2}\\ \\x=5\sqrt{3}$

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Equation of a line with an slope of 1/2 that contains (-4, 7)

nasty-shy [4]

Equation of a line with an slope of 1/2 that contains (-4, 7) is $y=\frac{1}{2} x+9$

Solution:

We have been given a point and slope of an equation and have been asked to write it in an equation. The two forms of writing a point and slope in equation are point slope form and standard form.

The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. The standard form of a line is just another way of writing the equation of a line.

To write in standard form we will first write it in point slope form and then rearrange it into a standard from.

The formula for point slope form:

$y-y_{1}=m\left(x-x_{1}\right)$

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Given that "m" = $\frac{1}{2}$ and $(x_1, y_1) = (-4, 7)$

$\begin{array}{l}{y-7=\frac{1}{2}(x-(-4))} \\\\ {y-7=\frac{1}{2}(x+4)} \\\\ {y-7=\frac{1}{2} x+2} \\\\ {y=\frac{1}{2} x+9}\end{array}$

Now, let us convert this equation to standard form

0.5x + 9 = y

0.5x - y = -9

Thus we have found out equation of line in point slope and standard form

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Answer:

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