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3 years ago

6x + 1 = -6(1-x) please show work i need what is x

Mathematics

1 answer:

slavikrds [6]3 years ago

7 0

Answer:

Step-by-step explanation:

6x+1=-6(1-x)

6x+1=-6+6x

6x+7=6x

7=0

no solution

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Which equation represents a line which a perpendicular to the line y=4x-7?

jasenka [17]

Answer:

-1/4

Step-by-step explanation:

The slope-intercept form is y = m x+b ,

where m is the slope and b is the y-intercept.

y = m x + b

Using the slope-intercept form, the slope is 4.

4 m = 4

The equation of a perpendicular line to

y = 4 x - 7

must have a slope that is the negative reciprocal of the original slope.

− 1 /4

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3 years ago

Which is the completely factored form of 12x4 + 39x3 + 9x2?

svetoff [14.1K]

Answer:

The second option, 3x^2(x+3)(4x+1)

Step-by-step explanation:

Factor out the common term, which is 3x^2

This then becomes 3x^2(4x^2+13x+3)

Factor the inside term and it becomes

(3x^2)(x+3)(4x+1)

3 0

2 years ago

A boat is sighted from a 50-meter observation tower on the shoreline at an angle of depression of 4 degrees moving directly towa

MAXImum [283]

Answer:

5.76 km/h

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle. Here, we are given the side opposite the angle (angle of depression), and we want to find the adjacent side (distance from shore).

Tan = Opposite/Adjacent

tan(4°) = (height of tower)/(distance from shore)

tan(4°) = (50 m)/(distance from shore)

Then the distance from shore is ...

distance from shore = (50 m)/tan(4°) ≈ 715.03 m

At the second sighting, the distance from shore is ...

distance from shore = (50 m)/tan(12°) ≈ 235.23 m

So, the distance traveled in 1/12 hour is ...

715.03 m - 235.23 m = 479.80 m

and the speed in km per hour is ...

speed = 0.4798 km/(1/12 h) = 5.7576 km/h

The speed of the boat is about 5.76 km per hour.

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3 years ago

Make m the subject in a(c+m)=2(c+3m)

Murrr4er [49]

Answer:

m = $\frac{2c-ac}{a-6}$

Step-by-step explanation:

distribute parenthesis on both sides

ac + am = 2c + 6m ( collect terms in m on left side )

subtract 6m from both sides

ac + am - 6m = 2c ( subtract ac from both sides )

am - 6m = 2c - ac ( factor left side )

m(a - 6) = 2c - ac ( divide both sides by (a - 6))

m = $\frac{2c-ac}{a-6}$

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4 years ago

One leg of a 45°-45°-90° triangle measures 9sqrt2 inches. What is the length of the hypotenuse?

stiv31 [10]

We know that
a=9√2
b=9√2
a=b---------- <span>for having both angles of 45</span>
c²=a²+b²-------> (9√2)²+(9√2)²------>(324)-----------> c=√324=18

the answer is the option A 18 inches

8 0

4 years ago