Put the equation in standard form y=-4/5x+2

Mathematics

2 answers:

just olya [345]3 years ago

7 0

$\huge\mathfrak{Answer}$

Prefer to the attachment

thanks

sp2606 [1]3 years ago

3 0

Answer:

4x +5y = 10

Step-by-step explanation:

Standard form of an equation is Ax +By = C

y=-4/5x+2

Add 4/5 x to each side

4/5 x +y=-4/5x+ 4/5x+2

4/5 x + y = 2

Now we don't have fractions in A ,B or C

So Multiply by 5

5(4/5 x + y) = 2*5

Distribute

4x +5y = 10

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If the radius is 14cmand The perimeter of the sector is 57.32cm.<br>what is the size of the angle?

Degger [83]

Answer:

120°

Step-by-step explanation:

A sector of a circle is the portion or region of a circle enclosed by two radii and an arc. The perimeter of a the sector of a circle is given by the formula:

Perimeter of sector = $\frac{\theta}{360} *2\pi r$ + 2r

Where θ is the angle which forms the sector and r is the radius of the circle.

Given that Perimeter of sector = 57.32 cm, radius (r) = 14 cm, we can find the angle θ using:

Perimeter of sector = $\frac{\theta}{360} *2\pi r$ + 2r

$57.32=\frac{\theta}{360} *2\pi *14+2(14)\\\\57.32-28=\frac{\theta}{360} *2\pi *14\\\\29.32=\frac{\theta}{360} *2\pi *14\\\\ \frac{\theta}{360}=\frac{29.32}{2\pi *14} \\\\\frac{\theta}{360}=0.33\\\\\theta=120^o$