Input in standard form the equation of the given line. The line with m = -1/2 and b = 1

Mathematics

2 answers:

Georgia [21]4 years ago

7 0

Exact Form:

−1/2, b = 1

-12,b=1

Decimal Form:

−0.5,b=1

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maks197457 [2]4 years ago

5 0

Answer:

-x + 2y = 2.

Step-by-step explanation:

y = mx + b

So here we have:

y = -1/2x + 1.

Convert to standard form:

-1/2 x + y = 1 Multiply through by 2:

-x + 2y = 2.

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Please help me answer this!

Tomtit [17]

Answer:

x = 3

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are the legs.

The tangent ratio relates the opposite leg with the adjacent leg. Please note the given side is the opposite leg to 60° and x is the adjacent leg to 60°, thus we apply the tangent ratio:

$\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 60^\circ=\frac{3\sqrt{3}}{x}$

Solving for x:

$\displaystyle x=\frac{3\sqrt{3}}{\tan 60^\circ}$

Since:

$\tan 60^\circ=\sqrt{3}:$

$\displaystyle x=\frac{3\sqrt{3}}{\sqrt{3}}$

Simplifying:

x = 3

5 0

3 years ago

A circular disc has circumference 250 cm. Calculate the radius of the disc.

nasty-shy [4]

$\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=250 \end{cases}\implies 250=2\pi r\implies \cfrac{250}{2\pi }=r\implies \stackrel{cm}{39.79}\approx r$