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1 year ago

what is the x-intercept of 3y=2x-6 please also show steps this is due in a few minutes !!!!

1 answer:

3 0

Get y on one side.

So divide 3 on both sides.

Y=2/3x-2
Let y be equal to 0.

0=2/3x-2

Add 2 on both sides

2=2/3x

Then divide 2/3 on both sides so x is by itself.

Which is 3
So x=3

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2 years ago

Find (a) arc length and (b) Area of a sector.

barxatty [35]

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

Formula

$\textsf{Arc length}=r \theta$

$\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta$

$\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}$

Calculation

Given:

$\theta=\dfrac{5 \pi}{8}$
r = 15 cm

$\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}$

$\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}$

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1 year ago

￼what is the x-intercept of 3y=2x-6 please also show steps this is due in a few minutes !!!!

what is the x-intercept of 3y=2x-6 please also show steps this is due in a few minutes !!!!