If B is between A and C, AB= x+6, BC= 5x -4, and AC= 12x - 20, then AC=?

Answer:

No

Step-by-step explanation:

It is never a right triangle unless it says so, it normally has a little square box thing on the angle that is right

By studying the change of the y-intercept, we can see that the shift is of one unit upwards.

We know that the original y-intercept of the line is y = -1, then the line is of the form:

y = a*x - 1

Where a is the slope.

Now we apply a vertical shift of N units, this is written as:

y = a*x - 1 + N

And we know that the new y-intercept is 0, so:

y = a*0 - 1 + N = 0

y = -1 + N = 0

-1 + N = 0

N = 1

The shift is of 1 unit up.

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9514 1404 393

Answer:

  yes, the lines are perpendicular

Step-by-step explanation:

A graph of the line through the points (8, -4) and (3, 6) shows it has a slope of -2. That is the opposite reciprocal of the slope of 1/2 that the given line has.

When two lines have opposite reciprocal slopes, they are perpendicular.

The lines are perpendicular.

__

If you like you can compute the slope using the slope equation:

  m = (y2 -y1)/(x2 -x1)

  m = (6 -(-4))/(3 -8) = 10/-5 = -2

In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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Answer:

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a right triangle to represent the situation:

        |\

        | \

   h    |  \   9 ft

        |   \

        |    \

        |     \

        -------

        6 ft

Here, h represents the height on the wall where the ladder touches. We want to find the angle of elevation θ.

Using the right triangle, we can write:

sin(θ) = h / 9

cos(θ) = 6 / 9 = 2 / 3

We can solve for h using the Pythagorean theorem:

h^2 + 6^2 = 9^2

h^2 = 9^2 - 6^2

h = √(9^2 - 6^2)

h = √45

h = 3√5

So, sin(θ) = 3√5 / 9 = √5 / 3. We can solve for θ by taking the inverse sine:

θ = sin^-1(√5 / 3)

θ ≈ 37.5 degrees

Therefore, to the nearest tenth of a degree, the angle of elevation the ladder makes with the ground is 37.5 degrees.

The parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

A matrix equation of the form \($A\overrightarrow x=0\) is called homogeneous matrix equation.

A matrix equation of the form  \($A\overrightarrow x=\overrightarrow b\) is called non - homogeneous matrix equation.

Given is to find the solution in parametric vector form.

If there are {m} free variables in the homogeneous equation, the solution set can be expressed as the span of {m} vectors :

\($\overrightarrow x=s_{1} \overrightarrow v_{1} + s_{2} \overrightarrow v_{2}+......+s_{m} \overrightarrow v_{m}\)

We have a matrix where {A} is the row equivalent to that matrix -

\(\begin{bmatrix} 1&3&0&-4 \\ 2&6&0&-8 \end{bmatrix}\)

Given matrix can be written in Augmented form as -

\(\left[ \begin{array}{cccc|c} 1&3&0&-4 & 0\\2&6&0&-8&0\\ \end{array} \right]\)

Row Reduced Echelon Form can be obtained using the following steps -

{ 1 } - Interchanging the rows R{1} and R{2}.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0 \\ 1&3&0 &-4 & 0 \\ \end{array} \right]\)

{ 2 } - Applying the operation R{2} -> 2R{2} - R{1}, to make the second 0.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\1&3&0&-4&0 \\ \end{array} \right] \;\;\;\;\;\;R_2 \rightarrow 2R_2 - R_1\)

\(\left[ \begin{array}{cccc|c} 2 & 6 & 0 & -8 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ \end{array} \right]\)

{ 3 } - Using R{1} -> R{1}/2

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\0&0&0&0&0\\ \end{array} \right]  \;\;R_1 \rightarrow \dfrac{1}{2} R_1\)

{ 4 } - Following equation can be deducted as

\(x_1 + 3x_2 - 4x_4 =0\)

{ 5 } - We can write the parametric form as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

Therefore, the parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

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Answer:

A=16x^2

B=-12x

Step-by-step explanation:

I think this question is asking you to use box method. If so, imagine 8x times 2x is 16x^2, which would be the A value. Then, 2x times -6 is -12x, which is the B value. I'm sorry if thats not what the question is asking. Hope this helps though!

Given the lengths of the two sides and the angle between them, only one triangle can be created under the given circumstances.

1. Given that angle B is 32.5°, side AB is 37 cm, side AC is 26 cm, etc.

2. Calculate side BC using the Law of Cosines:

BC = (2(AB)(AC)cosB) + (AB)(AC)2

3. Input the values that are known: BC = (37 2 + 26 2 - 2(37)(26)cos32.5°)

4. Condense: BC = (1369 plus 676 minus 1848 cos 32.5 °)

5. Determine BC =. (2095 - 1539.07)

6. Condense: BC = 556.93

7. Determine BC as 23.701 cm.

8. Since the lengths of the two sides and the angle between them are specified, only one triangle can be formed under the current circumstances.

By applying the Law of Cosines, we can determine the length of the third side, BC, given that side AB is 37 cm, side AC is 26 cm, and angle B is 32.5°. In order to perform this, we must first determine the cosine of angle B, which comes out to be 32.5°. Then, we enter this value, together with the lengths of AB and AC, into the Law of Cosines equation to obtain BC.BC = (AB2 + AC2 - 2(AB)(AC)cosB) is the equation. BC is then calculated by plugging in the known variables to obtain (37 + 26 - 2(37)(26)cos32.5°). By condensing this formula, we arrive at BC = (1369 + 676 - 1848cos32.5°). Then, we calculate BC as BC = (2095 - 1539.07), and finally, we simplify to obtain BC = 556.93. Finally, we determine that BC is 23.701 cm. Given the lengths of the two sides and the angle between them.

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Answer:

You could add 9 and 2, making 11, then you could use the decimals and att 8 and 6 making 14, since 14 is over 9 add 1 to your 11 making 12 and add the last 0.4 to the twelve, the answer is 12.4

Step-by-step explanation:

The sum of 9.8 and 2.6 is 12.4.

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Given:

The two decimal numbers are 9.8 and 2.6.

The sum of 9.8 and 2.6,

= the sum of whole part + the sum of the fractional part

= (9 + 2) + (0.8 + 0.6)

= 12.4

Therefore, the result is 12.4.

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Answer:

0.32

Step-by-step explanation:

plato

Answer: 70 dollars in profit

Step-by-step explanation: 20 x 13.50 = 270 20 - 3 = 17 20 x 17 = 340 340 - 270 = 70

Answer:

The price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.

Step-by-step explanation:

David wants to make 10 servings, where each serving has 75 grams of rice. So, he needs a total of 10 * 75 = 750 grams of rice. the price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.

According to the information we can infer that the approximate area of the cross-section is 35.5 square meters. Additionally, the approximate volume of water flowing through the cross-section in 10 seconds is 142 cubic meters.

To calculate the approximate area of the cross-section using Simpson's rule, we divide the width of the river (12 meters) into intervals and consider the depth measurements at each interval. Given the depth measurements:

We use Simpson's rule to estimate the area by applying the formula:

Using the given depth measurements, we substitute them into the formula and calculate:

According to the information, the approximate area of the cross-section is 35.5 square meters.

To calculate the approximate volume of water flowing through the cross-section in 10 seconds, we multiply the area of the cross-section by the velocity of the river.

Given the velocity of the river is 0.4 meters per second, and the time is 10 seconds:

According to the information, the approximate volume of water flowing through the cross-section in 10 seconds is 142 cubic meters.

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The domain of the function f(x) = -2x(x - 1)(x - 2) is all real numbers except for 0, 1, and 2. This is because the function is undefined when any of the factors is 0.

The function f(x) = -2x(x - 1)(x - 2) is a product of three factors. The first factor, -2x, is never equal to 0. The second factor, x - 1, is equal to 0 when x = 1. The third factor, x - 2, is equal to 0 when x = 2.

So, the only values of x that make the function undefined are 0, 1, and 2. Therefore, the domain of the function is all real numbers except for 0, 1, and 2.

In interval notation, the domain of the function is written as:

(-INF,0) U (0,1) U (1,2) U (2,INF)

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Answer: 58

Step-by-step explanation:

180-114= 66

66+56=122

180-122= 58

Translate:

Twice a number increased by 2 is at least 10.

     2 · n                               +2           ≥             10

Solve:

   2n + 2 ≥ 10

         2n ≥ 8

           n ≥ 4

As long as you pick a number that's 4 or greater, you'll satisfy that statement.

Answer:

i) 45km/hr

ii)29 min

Step-by-step explanation:

average speed = distanced travelled / time elapsed

It took 36min and need to convert to hr

36min x \(\frac{hours}{60 min}\) = \(\frac{36 hr}{60 min}\) = \(\frac{9 }{15 }\) hours

distanced travelled is 27 km;

average speed = 27km / (9/15hr) = 45 km/hr

Add 36min to 0837 becomes 0913, the train will arrive at 0942 and the wait will be the difference of 0942 - 0913 = 29 min

The total number of throws will be equal to 16.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The total number of throws will be calculated by adding all the throws,
Total throws = ( 3 / 5 ) + 15 + ( 2 / 5)

Total throws = ( 3 + 75 + 2) / 5

Total throws = 80 / 5

Total throws = 16

Therefore, the total number of throws will be equal to 16.

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A snowgoose flies 250 km south for winter and returns 250 km north for summer. The total distance flown is 500 km, while the displacement after both flights is zero.

In the first flight, the snowgoose flies directly south for winter, covering a distance of 250 km. This can be represented by the vector equation: Winter Flight = -250 km (south).

In the second flight, during the summer, the snowgoose flies directly north for 250 km. This can be represented by the vector equation: Summer Flight = 250 km (north).

The total distance flown by the snowgoose is the sum of the distances covered in both flights: 250 km + 250 km = 500 km.

The displacement of the snowgoose for the winter flight is zero since it returns to its initial position. This can be represented by the vector equation: Displacement (Winter) = 0 km.

Similarly, the displacement of the snowgoose for the summer flight is also zero as it returns to its initial position. This can be represented by the vector equation: Displacement (Summer) = 0 km.

The total displacement after the two flights is zero, as the snowgoose ends up at the same position it started. This can be represented by the equation: Total Displacement = Displacement (Winter) + Displacement (Summer) = 0 km + 0 km = 0 km.

Mathematically and geometrically, the relationship between the two displacement vectors (Displacement Winter and Displacement Summer) is that they cancel each other out, resulting in a net displacement of zero.

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The answers of the given question are a followed

2. Same side interior angle theorem

3. Same side interior angle theorem

4. Vertical angle theorem

5. Vertical angle theorem

6. Substitution

The Vertical Angle Theorem states that two intersecting lines' opposing angles must be congruent, or of equal value. The angles opposite to each other will always be congruent, or equal in value, regardless of the manner in which or the location at which two straight lines intersect one another:

Two straight lines that cross each other create two linear pairs, according to the Vertical Angle Theorem. As a result, the adjacent angles created by the intersection of two lines are supplementary angles, meaning that their angles sum to 180 degrees:

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As a result of answering the given question, we may state that When the cylinder radius is quadrupled, the volume increases by a factor of 9 (32).

A cylinder is a three-dimensional geometric object composed of two congruent parallel circular bases and a curving surface connecting the two bases. A cylinder's bases are always perpendicular to its axis, which is an imaginary straight line through the centre of both bases.  A cylinder's volume is equal to the product of its base area and height. The volume of a cylinder is calculated as V = r2h, where "V" represents the volume, "r" represents the radius of the base, and "h" represents the cylinder's height.

The volume of a cylinder is calculated as V = r2h, where r is the radius and h is the height.

Substituting the provided values yields:

(102 (8) V = 800 cubic metres

The new height is 3(8) = 24 metres if the height is tripled. When we enter this value into the formula, we get:

V = (102 + 24) = 2400 cubic metres

When the height is tripled, the volume is tripled.

If the radius is tripled, it becomes 3(10) = 30 metres. When we enter this value into the formula, we get:

(302)(8) V = 7200 cubic metres

When the radius is quadrupled, the volume increases by a factor of 9 (32).

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I do belive i did my math correct and I n.v should be the top one

Answer:

what the first answer said

Step-by-step explanation:

To find the derivative of the function \(f(r) = 4/3 Pi r^3,\) we need to use the rules of differentiation.  In this case, the independent variable is r. the derivative of the function by rules of differentiation is found to be  \(f(r) = 4/3 Pi r^3\) is \(f '(r) = 4 Pi r^2.\)

The first step is to identify the power of the variable r in the function. In this case, the power of r is 3. The derivative of a function is the rate of change of the function with respect to its independent variable.

Next, we need to use the power rule of differentiation, which states that the derivative of a function with a variable raised to a power is the power multiplied by the coefficient of the variable, and the power is reduced by 1.

So, the derivative of \(f(r) = 4/3 Pi r^3\) is \(f '(r) = (4/3 Pi) * (3) * r^(3-1) = 4 Pi r^2\).
Therefore, derivative of function \(f(r) = 4/3 Pi r^3 is f '(r) = 4 Pi r^2.\)

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Answer:

the answer is either B or A but i strongly agree on A a little

Step-by-step explanation:

Answer:

22.4

Step-by-step explanation:

a^2 + b^2 c^2

20^2 + b^2 = 30^2

400 + b^2 = 900

b^2 = 500

b = 22.4

P = 90 is the solution for the given equation.

Given: Qd=95−4

PQs=5+P

To find Qd if P=5:

Put P = 5 in the equation

Qd=95−4P

Qd = 95 - 4 x 5

Qd = 75

So, Qd = 75.

To find P if Qs = 20:

Put Qs = 20 in the equation

Qs = 5 + PP

= Qs - 5P

= 20 - 5P

= 15

So, P = 15.

To solve Qd=Qs, substitute Qd and Qs with their respective values.

Qd = Qs

95 - 4P = 5 + P

Subtract P from both sides.

95 - 4P - P = 5

Add 4P to both sides.

95 - P = 5

Subtract 95 from both sides.

- P = - 90

Divide both sides by - 1.

P = 90

Thus, P = 90 is the solution for the given equation.

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Answer:

The decimal is 4.980

Step-by-step explanation:

BRAINLIEST PLS

Answer: angle 5 =  55 degrees, angle 6 = 125 degrees, angle 7 = 55 degrees, angle 8 = 125 degrees

An example of a function is f(x) = x² and {a} = {-1, -2, -3, ...}; {a} is bounded above, but f({a}) = {1, 4, 9, ...} is unbounded above.

We have,

An example of such a function is f(x) = x², and let's consider the sequence {a} = {-1, -2, -3, ...}.

The sequence {a} is bounded above because every term in the sequence is negative, so the largest element in the sequence, -1, serves as an upper bound.

However, when we apply the function f to this sequence, we get the sequence {f(a)} = {1, 4, 9, ...}.

The function f(x) = x² squares each element in the sequence {a}.

As we can see, the sequence {f(a)} contains only non-negative numbers and keeps increasing without bound.

Therefore, the sequence {f(a)} is unbounded above.

This example illustrates that even though the original sequence {a} is bounded above, applying the function f to the sequence can lead to an unbounded sequence {f(a)} as the function transforms the values of the sequence.

Thus,

An example is f(x) = x^2 and {a} = {-1, -2, -3, ...}; {a} is bounded above, but f({a}) = {1, 4, 9, ...} is unbounded above.

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