F(x)=3x-3 find f(-6)

Answer:

6

Step-by-step explanation:

Parrelal lines, so SRQ will be 180-108=72. 72/12=6.

The required  the distance from point A to point B is approximately 855.31 feet.

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

Let's call the distance from point A to the lighthouse "x" and the height of the lighthouse "h" (h = 111 feet). We can use the tangent function to relate the angle of elevation to the distance and height:

tan(5°) = h/x

Solving for x, we get:

x = h/tan(5°) ≈ 1268 feet

Now let's call the distance from point B to the lighthouse "y". We can use the same tangent function to relate the angle of elevation from point B:

tan(15°) = h/y

Solving for y, we get:

y = h/tan(15°) ≈ 412.69 feet

The distance between points A and B is just the difference between x and y:

1268 - 412.69 ≈ 855.31 feet

So the distance from point A to point B is approximately 855.31 feet.

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Complete question:

A boat is heading towards a lighthouse, whose beacon-light is 111 feet above the water. From point A, the boat's crew measures the angle of elevation to the beacon, 5º, before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 15°. Find the distance from point A to point B. Round your answer to the nearest tenth of a foot if necessary.​

The answer would be 228.295489891

Rounded to the nearest tenth it would 228.3

Answer: $402

Step-by-step explanation: I believe this answer is correct i did all the math

The equation of the line is y = (3/2)x - 1/2.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Let's say you need to know the answer about the equation of a line that passes through points (3, 4) and (5, 7).

Now,

The equation of a line.

y = mx + c

The line passes through points (3, 4) and (5, 7).

m = (7 - 4) / (5 - 3)

m = 3/2

Slope = 3/2 _____(1)

Now,

(3, 4) = (x, y)

4 = 3/2 x 3 + c

4 = 9/2 + c

c = 4 - 9/2

c = (8 - 9) / 2

c = -1/2

y-intercept = -1/2 ____(2)

Now,

y = mx + c

From (1) and (2),

y = (3/2)x - 1/2

Thus,

The equation of the line is y = (3/2)x - 1/2.

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The complete question.

Find the equation of a line that [passes through the point (2, 4), and (5, 7).

Answer:

She would use 136 yards in 4 skirts, 238 yards in 7 skirts, and 306 yards in 9 skirts. Hope this helps

Step-by-step explanation:

Answer:

\(\sin(\frac{19}{12}\pi)\\\\=\sin(\frac{15}{12}\pi+\frac{4}{12}\pi)\\\\=\sin(\frac{15}{12}\pi)\sin(\frac{1}{3}\pi)+\cos(\frac{15}{12}\pi)\cos(\frac{1}{3}\pi)\\\\=-\frac{\sqrt{2}}{2}\cdot\frac{\sqrt{3}}{2}-\frac{\sqrt{2}}{2}\cdot\frac{1}{2}\\\\=\frac{-\sqrt{6}-\sqrt{2}}{4}\\\\=-\frac{\sqrt{2}(\sqrt{3}+1)}{4}\)

A=2

B=3

I genuinely hope this helped you answer the question. Have a nice day.

The correct equation that matches the given graph is y = cos(x) + 1.

To determine the equation that matches the given graph, we can observe the key features and points provided.

The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.

The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.

The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.

Based on these observations, the function can be represented as a cosine function.

The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:

y = cos(x) + 1

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Answer: 2.63

Step-by-step explanation:

Using the formula \(A=\frac{1}{2} ab \sin C\),

\(6\sqrt{2}=\frac{1}{2}(2x-1)(x+3) \sin 45^{\circ}\\\\6\sqrt{2}=\frac{(2x-1)(x+3)}{2} \cdot \frac{\sqrt{2}}{2}\\\\6=\frac{(2x-1)(x+3)}{4}\\\\24=(2x-1)(x+3)\\\\24=2x^2 +5x-3\\\\2x^2 +5x-27=0\\\\x=\frac{-5 +\sqrt{5^2 -4(2)(27)}}{2(2)} \text{ } (x > 0)\\\\x=\frac{\sqrt{241}-5}{4} \approx 2.63\)

Answer:

Step-by-step explanation:

At least two sides have the same length.

At least two angles have the same measure.

The base angles (angles opposite the equal sides) have the same measure.

The altitude (perpendicular segment from the base to the vertex) bisects the base and the corresponding base angle.

The median (segment connecting the vertex to the midpoint of the base) is also an altitude, angle bisector, and perpendicular bisector of the base.

Based on these characteristics, the properties that belong to all isosceles triangles are:

At least two sides have the same length.

At least two angles have the same measure.

The base angles have the same measure.

Therefore, the correct options are:

At least two sides have the same length.

At least two angles have the same measure.

The base angles have the same measure.

Answer:

$2.10 is the sales tax

Step-by-step explanation:

convert 5.25% to a decimal

5.25 / 100 = 0.0525

0.0525 x 40 = 2.1

The functions for this problem are classified as follows:

a) q(x) is an odd function.

b) r(x) is an even function.

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You have an element range of the equation y = 2x - 7 for the domain of 4, 3, 2 with values of -15, -13, and -11.

The difference between the highest and lowest values in a set of numbers is known as the range. Subtract the lowest value in the distribution from the highest to determine it.

Between the lowest and greatest numbers, there is a range. In the example,{4, 6, 9, 3, 7}  the lowest value is 3, and the highest is 9. The range then equals 9 - 3 = 6.

Here the explanation ,

The R domain xx.

R' is the range yy.

Y=2x7 is the equation of a line with slope m=2, and the domain and range of any line with m 0 and m are all real values.

The R domain xx. R is the range "y"

You have a range of -15, -13, and -11.

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Answer:

See below

Step-by-step explanation:

Answer:

length × width = area

440.5 = 5 × length

length = 440.5 / 5

length = 88.1

so haway is 88.1 foot long

the length of the hallway is 88.1 feet. To find the length of the hallway, we need to use the given information about the width of the hallway and the total area of the carpet required to cover it.

Given:

Width of the hallway = 5 feet

Area of carpet required = 440.5 ft^2

Let's denote the length of the hallway as "L" (in feet).

The area of a rectangle (such as the hallway) is given by the formula:

Area = Length * Width

In this case, the area is given as 440.5 ft^2, and the width is given as 5 feet. Now we can set up the equation:

440.5 = L * 5

To find the length (L), divide both sides by 5:

L = 440.5 / 5

L = 88.1

So, the length of the hallway is 88.1 feet.

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1.    in this exercise you  must substitute the value of  of x = 12  in the equation of the parable given, if the result is 10 then the ball pass through the hoop

2.    Y = (-.125)(12)^2+ (1.84)(12)+6 = -18+22.08+6 = 10.06≅10 , of  this form it is demonstrated, that the ball pass through the  hoop

Answer:

25%

Step-by-step explanation:

25 divided 100 = 0.25

The possible price for the items if the store sells $600 is (c) $40

From the question, we have the following parameters that can be used in our computation:

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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Answer:

12x + 3y + 9

Step-by-step explanation:

Im not sure if you can add constants to variables so here is my simplified expression.

Answer:

x = 43.4°

Step-by-step explanation:

when two straight line intersects, angles directly opposite of each other has the same value.

The two points on the line to graph the function is (3, 4/3) and (-6, 10/3).

A line is a one-dimensional, straight shape that can go on forever in both directions. It is made up of an infinite number of points that are organized in a straight line.

We are unable to offer two points on the line for graphing in the absence of a line or function.

We consider the function is, \(f(x) = 2 - \frac{2}{9} x\)

To graph the function \(f(x) = 2 - \frac{2}{9} x\) , we can choose any two values of x, plug them into the equation to find the corresponding values of y, and then plot the points (x, y) on the coordinate plane. Here are two possible sets of points we can use:

Set 1:

Let x = 0:

f(0) = 2 - (2/9)(0) = 2

Therefore, one point on the line is (0, 2).

Let x = 9:

f(9) = 2 - (2/9)(9) = 0

and another point on the line is (9, 0).

Now, we can plot these two points on the coordinate plane and draw a straight line passing through them to graph the function \(f(x) = 2 - \frac{2}{9} x\)

Set 2:

Let x = 3:

f(3) = 2 - (2/9)(3) = 2 - (2/3) = 4/3

So one point on the line is (3, 4/3).

Let x = -6:

f(-6) = 2 - (2/9)(-6) = 2 + (4/3) = 10/3

So another point on the line is (-6, 10/3).

Now, we can plot these two points on the coordinate plane and draw a straight line passing through them to graph the function \(f(x) = 2 - \frac{2}{9} x\)

Therefore, the two points on the line to graph the function is (3, 4/3) and (-6, 10/3).

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Answer:

The answer is -4/5 C

Step-by-step explanation:

Answer:

\(y =\frac{1}{2}x -4\)

Step-by-step explanation:

m = (1/2)  ; (2 , -3)

y -y1 = m(x - x1)

\(y - [-3] = \frac{1}{2}(x - 2)\\\\y + 3 = \frac{1}{2}x - 2 *\frac{1}{2}\\\\y + 3 = \frac{1}{2}x -1\\\\y = \frac{1}{2}x - 1 - 3\\y =\frac{1}{2}x -4\)

\(\huge\text{Hey there!}\)

\(\large\textsf{13 - 4.5 + (-8)}\\\\\large\textsf{= 13 - 4.5 - 8}\\\\\large\textsf{13 - 4.5 = \boxed{\bf 8.5}}\large\checkmark\\\\\large\textsf{8.5 - 8}\\\\\boxed{\large\textsf{= \bf 0.5}}\large\checkmark\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf 0.5}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

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Answer: 1 = 7/3

Step-by-step explanation:

Answer:

1,12

Step-by-step explanation: