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3 years ago

Here is my question. Please help

Mathematics

1 answer:

Rasek [7]3 years ago

8 0

6x^2 +30x - 36
6( x^2 +5x -6)
6(x^2 -x+6x-6)
6[ x(x-1) 6(x-1)]
(x-1) (x+6)

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What is the greatest common factor of 28x²y-7xy^5?

Alchen [17]

The greatest common factor of this can be solved by looking at the individual parts and splitting it up.

First, we have 28 and 7. Well, thats an easy one. 7 goes into 28 4 times so we are now left with 4 and 1.

We can also write the rest of this like this 4(x*x*y) - 1(x*y*y*y*y*y)

Now, what values are in both equations. We have one x and one y that can be taken out of both.

We end up with 7xy(4x-7y^4)

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3 years ago

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A lighthouse is located on a small island 5 km away from the nearest point P on a straight shoreline and its light makes seven r

Vaselesa [24]

Answer:

Light is moving at the speed = 77.78 km/min

Step-by-step explanation:

Given:

Distance between island and point P = 5 km

Moving along the the shoreline when it is 1 km from P.

So, x = 1

From the above statement light makes seven revolutions per minute.

Therefore,

$\frac{d\theta}{dt}=\frac{7\times 2\pi\ rad}{1\ min} = 14\pi\ rad/min$

Solution:

From the given figure.

$tan\theta=\frac{x}{5}$

Substitute x = 1

$tan\theta=\frac{1}{5}$ -------------------(1)

Now, first we differentiate both side with respect to t.

$\frac{d(tan\theta)}{dt} = \frac{d}{dt}.(\frac{x}{3})$

Using chain rule.

$\frac{d(tan\theta)}{dt}.\frac{d\theta}{dt} = (\frac{1}{5})\frac{dx}{dt}$

$sec^{2} \theta.\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

$(1+tan^{2} \theta).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

Substitute $tan\theta=\frac{1}{5}$ from equation 1.

$(1+(\frac{1}{3})^{2} ).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

$(1+\frac{1}{9}).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

Substitute $\frac{d\theta}{dt}=14\pi$

$\frac{10}{9}.14\pi = \frac{1}{5}.\frac{dx}{dt}$

Applying cross multiplication rule.

$\frac{dx}{dt}= \frac{700\pi }{9}$

$\frac{dx}{dt}= 77.78\pi$

Therefore, light is moving along the shore at the speed of 77.78 km/min

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3 years ago

Brandon drew a scale drawing of a hotel. a room in the hotel is 18 inches wide in the drawing. the actual room is 12 feet wide,

Contact [7]

3inches=1 1/2 feet I believe but I'm not to sure about it you will have to the math this is just my answer to you guys sorry if its wrong at least I tried

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3 years ago

The perimeter of a triangle WXY is cm

kifflom [539]

Up where is the picture for this to see the other angles<span />

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3 years ago

The tangent of an angle is 0.8. What is the measure of the angle to the nearest tenth<br>

Sindrei [870]

Answer:

36.7

Step-by-step explanation:

let angle be x

tan x = 0.8

x = tan⁻¹ 0.8 (use calculator)

x = 36.6598

x = 36.7 (nearest tenth)

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3 years ago

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