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2 years ago

Given that 3y = x + 6 and y = kx + 12 are perpendicular, find the value of k

Mathematics

1 answer:

fenix001 [56]2 years ago

6 0

k = -3

Step-by-step explanation:

Let's rewrite the equations in their slope-intercept forms:

$y = \frac{1}{3}x + 2\:\:\:\:\:\:\:(1)$

$y = kx + 12\:\:\:\:\:(2)$

In order for Eqn(2) to be perpendicular to Eqn(1), the slope of Eqn(2) must be the negative reciprocal of that of Eqn(1). Therefore, $k = -3$ .

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Trisha had the following seven distances (in feet) in the triple jump.

Murrr4er [49]

When you find the mean you add all of them together. Then you divide your answer by how many numbers there are that you added.

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3 years ago

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Which expression is equivalent to...

olga_2 [115]

Answer:

$8m^5$

Step-by-step explanation:

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1 year ago

What number times 3 is 18?

kobusy [5.1K]

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Step-by-step explanation:

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2 years ago

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PLEASE!!!!!!!The adjoining figure shows two circles with the same center. The

Nookie1986 [14]

<h3>Answer:</h3>

$\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ area \ of \ shaded \ region \ is 264 cm^2}}}$

<h3>Step-by-step explanation:</h3>

Here , two circles are given which are concentric. The radius of larger circle is 10cm and that of smaller circle is 4cm . And we need to find thelarea of shaded region.

From the figure it's clear that the area of shaded region will be the difference of areas of two circles.

Let the,

Radius of smaller circle be r .
Radius of smaller circle be r .
Area of shaded region be $\bf Area_{shaded}$

$\bf \implies Area_{Shaded}= Area_{bigger}-Area_{smaller} \\\\\bf\implies Area_{Shaded} = \pi R^2 - \pi r^2 \\\\\bf\implies Area_{shaded} = \pi ( R^2-r^2) \\\\\bf\implies Area_{shaded} = \pi [ (10cm)^2 - (4cm)^2] \\\\\bf\implies Area_{shaded} = \pi [ 100cm^2-16cm^2] \\\\\bf\implies Area_{shaded} = \pi \times 84cm^2 \\\\\bf\implies Area_{shaded} = \dfrac{22}{7}\times 84cm^2 \\\\\bf\implies \boxed{\red{\bf Area_{shaded} = 264 cm^2 }}$

<h3>Hence the area of the shaded region is 264 cm².</h3>

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2 years ago

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Ludmilka [50]

Answer:

Step-by-step explanation:

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2 years ago