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3 years ago

In order to solve this equation for x, the first step is to subtract 6 from both sides.

Mathematics

2 answers:

Tcecarenko [31]3 years ago

7 0

True. You would end up with 3x=36

telo118 [61]3 years ago

3 0

The statement is true.

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15,600 at 3% compounded semiannually for 3 years (semiannually = 2 per year)

aliya0001 [1]

Answer: 1404?

Step-by-step explanation:

15600×3= 468

468×3= 1404

I apologize if its not right. Im just trynna get my points

7 0

3 years ago

Divide 405 in the ratio 4:11

Mariulka [41]

Step-by-step explanation:

Answer is in the photo

Hope it helllps

Good luck

4 0

3 years ago

A small radio transmitter broadcasts in a 30 mile radius. If you drive along a straight line from a city 33 miles north of the t

Paha777 [63]

Answer:

34.26miles from 49.58miles of the drive (69.11% of the drive).

Step-by-step explanation:

A problem of Analytic Geometry. This question can be solved using the resulting values from equaling the equations of the line (for the drive) and circle (with radius equals 30miles for radio transmitter broadcasting), and calculating the total distances from coincident points between circle and line, and total drive.

A graph is attached showing part of the circle and line with coincident points.

<h3>Line's Equation</h3>

Assuming transmitter is located (0, 0). From a city 33 miles north of the transmitter (0, 33) to a second city 37 miles east of the transmitter (37, 0).

Then, the equation for the line is (taking the two points from the start to the end):

$\\ y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}*(x-x_{1})$

$\\ y-33=\frac{0-33}{37-0}*(x-0)}$

$\\ y-33=\frac{-33}{37}*x}$

$\\ y=\frac{-33}{37}*x} + 33$ [1]

<h3>Circle's Equation</h3>

The equation for the circle whose center (0, 0) is:

$\\ (x-0)^2 + (y-0)^2 = 30^2$

$\\ x^2 + y^2 = 30^2$

$\\ y^2 = 30^2 - x^2$

$\\ y = \frac{+}{-}\sqrt{30^2- x^2}$ [2]

Equaling [1] and [2], to determine the points where starting to receive the radio transmitter signals to the point where finishing those signals:

$\\ \frac{-33}{37}*x + 33 = \sqrt{30^2- x^2}$

Solving this equation for <em>x</em>, we have two solutions for it (from <em>WolframAlpha</em>):

$\\ x_{1} = 40293/2458 - (111 \sqrt(80151))/2458 \approx 3.60775$

$\\ x_{2} = 40293/2458 + (111 \sqrt(80151))/2458 \approx 29.1774$

Then, using [1], the corresponding values for <em>y</em> are:

$\\ y_{1}=\frac{-33}{37}*(3.60775) \approx 29.78$

$\\ y_{2}=\frac{-33}{37}*(29.1774) \approx 6.97$

So,

$\\ (x_{1}=3.61, y_{1}=29.78)$

$\\ (x_{2}=29.18, y_{2}=6.97)$

Well, the distance of the drive is:

$\\ d = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}$

$\\ d = \sqrt{(29.18-3.61)^2 + (6.97-29.78)^2}$

$\\ d \approx 34.2654$ miles.

The total distance traveled is:

$\\ d = \sqrt{(37-0)^2 + (0-33)^2}$

$\\ d \approx 49.5782$ miles

Thus, during the drive, the signal of the radio transmitter was picked up for 34.26miles from the total of the 49.58 traveled, that is, a fraction equivalent to $\\ \frac{34.2654}{49.5782} \approx 0.6911$ or 69.11% of the drive.

4 0

3 years ago

Pls tell me what the correct answer would be ❤️

mrs_skeptik [129]

Answer:

Step-by-step explanation:

The error is in the second step. For some unknown reason, the x was dropped and the 3 was subtracted from the 7.

It should be

9x +3x + 12 = 7

12x + 12 = 7 Subtract 12 from both sides.

12x + 12 - 12 = 7 - 12 Combine

12x = -5 Divide by 12

12x/12 = -5/12

x = -5/12 or x = - 0.4167

4 0

3 years ago

What is the equation for the nth term of the geometric sequence -2,10,-50

Monica [59]

Answer:

x₍ₙ₎ = x₍₁₎ * (-5)ⁿ⁻¹

Step-by-step explanation:

x₍ₙ₎ = x₍₁₎ * (-5)ⁿ⁻¹

x₍₁₎ = -2

x₍₂₎ = (-2) x (-5)²⁻¹ = (-2) x (-5) = 10

x₍₃₎ = (-2) x (-5)³⁻¹ = (-2) x (-5)² = -50

3 0

3 years ago