Mike took a taxi from his home to the airport the taxi driver charged an initial fee of six dollars +3 dollars per mile for total fare was $24 not including the tip how many miles and make travel by a taxi on his ride

Answer:

(7,a) Where a ∈ R - {7}

OR

(-2,a) where a ∈ R - {-2}

Step-by-step explanation:

The coordinates of the given line from the right to the left are:

(7,1) and (-2,1)

So, to make a right triangle, we need to make a right angle or by another words, we need to a make a perpendicular line to the given line (i.e: a vertical line parallel to the y-axis at one of the given points)

So, the third vertex must be on the line x=7 or x=-2

So, the coordinates of the third vertex is:

(7,a) Where a ∈ R - {7}

OR

(-2,a) where a ∈ R - {-2}

Answer:

(5, −4)

Step-by-step explanation:

A right triangle is a triangle in which one angle is a right angle (a 90-degree angle). (thank usatestprep)

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

The Triangle Proportionality Theorem asserts that a line drawn parallel to one side of a triangle divides the other two sides proportionally. This is related to the properties of similar triangles, where the corresponding sides of similar triangles are proportional due to the AAA similarity criterion.

The Triangle Proportionality Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. This means that the segments created on one side of the triangle are in the same ratio as the corresponding segments on the other side of the triangle. For example, in [tex](\Delta ABC)[/tex] with a line parallel to [tex](\overline{BC})[/tex], the theorem asserts that [tex](\frac{AD}{DB} = \frac{AE}{EC})[/tex].

This concept is deeply rooted in the properties of similar triangles which are based on the Angle-Angle-Angle (AAA) similarity criterion. According to the AAA theorem, if two triangles have corresponding angles that are equal, then their corresponding sides are proportional. Thus, if two triangles are similar, the lengths of their corresponding sides form a proportion such as [tex](\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF})[/tex], where each fraction is the ratio of a pair of corresponding sides.

The principles of the Triangle Proportionality Theorem can be applied in various geometric problems, often to compare the lengths of sides within the same triangle or in two similar triangles. It is also useful in determining distances or heights by applying the theorem to real-life scenarios, such as calculating the height of a wall using the shadow it casts, provided the sun's rays are considered parallel.

The measure of angle x in the isosceles triangle is 68 degrees.

The correct option is 68°.

The figure in the image is an isosceles triangle.

An isosceles triangle is simply a triangle that has any two sides equal in length and and also two angles equal in measure.

From the diagram;

Since the triangle is an isosceles triangle:

Angle 1 = 56 degrees

Angle 2 = 56 dgerees

Angle 3 = x

Note that the sum of the interior angle of a triangle adds up to 180 degree.

Hence;

Angle  1 + Angle 2 + Angle 3 = 180

56 + 56 + x = 180

Solve for x

112 + x = 180

x = 180 - 112

x = 68 degrees

Therefore, x has a value of 68 degree.

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Final answer:

The customer paid a meal's tax of $5.60 on an $80 dinner, calculated by converting the 7% tax rate to a decimal (0.07) and multiplying it by the cost of the meal.

Explanation:

The question pertains to calculating the meal's tax that the customer paid when the price for dinner at a restaurant was $80 and the meal's tax rate was 7%. To calculate the meal's tax, we need to convert the percentage to a decimal and then multiply it by the total cost of the meal.

To do this:

Convert the percent to a decimal: 7% becomes 0.07.

Multiply this decimal by the cost of the meal: 0.07 × $80 = $5.60.

Therefore, the customer paid $5.60 in meal's tax.

The question involves simplifying arithmetic expressions with square roots and division, emphasized on correctly applying order of operations and rules for dealing with exponents.

The student's question involves simplifying expressions containing the square root and the division operation. To simplify expressions like 12 + √35 divided by 2 and 12 - 2√35 divided by 2, we need to perform operations step by step, applying the correct order of operations.

When parenthesis is used, it indicates that we should evaluate that part of the expression first, followed by multiplication or division, and finally addition or subtraction. It is important to pay careful attention to the operation signs and ensure that each step is followed correctly. Working with square roots and division can be tricky, but by breaking down the expression into smaller parts and solving them one by one, we can arrive at the correct answer.

For instance, to solve expressions like 3².35, we need to apply the exponential rules, such as xPx9 = x(p+q). This indicates that you should add the exponents when multiplying numbers with the same base. While this particular rule may not directly apply to the expression in question, knowing rules for operations with exponents can help simplify complex arithmetic expressions.

Answer:

Prices and output would rise, and the equilibrium point will change.

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Answer:0.5

Step-by-step explanation:

Answer:

[tex]y > -x+4[/tex]

Step-by-step explanation:

we know that

The solution of the inequality is the shaded area above the dotted line

The slope of the dotted line is negative

The y-intercept of the dotted line is (0,4)

The x-intercept of the dotted line is (4,0)

Find the slope of the dotted line

[tex]m=(0-4)/(4-0)\\ m=-1[/tex]

The equation of the dotted line in slope intercept form is equal to

[tex]y=mx+b[/tex]

we have

[tex]m=-1[/tex]

[tex]b=4[/tex] -----> y-intercept

substitute

[tex]y=-x+4[/tex]

Find the equation of the inequality

Remember that the solution is the shaded area above the dotted line therefore

The inequality is

[tex]y > -x+4[/tex]

To solve this problem, we need to remember that slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the equation. To put the above equation into slope-intercept form, we need to get the variable y to the left side of the equation and the variable x and any constants to the right side of the equation.

9x + 35 = -5y

First, we will begin by adding 5y to both sides of the equation so that the y term is on the left side of the equation.

5y + 9x + 35 = 0

Next, we should subtract 9x from both sides so that the x term is on the left side of the equation.

5y + 35 = -9x

After that, we should subtract 35 from both sides of the equation so that this constant moves to the right side of the equation.

5y = -9x - 35

Now we must divide both sides of the equation by 5 so that the variable y is completely alone on the left side of the equation.

y = -9/5x - 7

Therefore, your answer y = -9/5x -7.

Hope this helps!

Answer:

The salary a salesperson expects to earn in 3 years, according to the graph is $40,000

Step-by-step explanation:

The estimated salary for a salesperson with 3 years of employment is $45,000.

Without the scatter plot, it's impossible to give an exact answer, but we can make an estimate based on the trend line. Assuming the trend line is a straight line, we can use the equation of the line to estimate the salary for a salesperson with 3 years of employment.

The equation of a straight line can be written in a slope-intercept form as y = mx + b, where y is the dependent variable (salary in this case), x is the independent variable (years of employment in this case), m is the slope of the line, and b is the y-intercept (the value of y when x = 0).

To find the equation of the trend line, Tony would have used statistical software or a calculator to calculate the slope and y-intercept of the line of best fit. He could also have done this by hand using the least squares regression method.

Once we have the equation of the trend line, we can substitute x = 3 to estimate the salary for a salesperson with 3 years of employment.

For example, if the equation of the trend line is y = 5000x + 30000 (where y is the salary in dollars and x is the years of employment), then we can estimate that a salesperson with 3 years of employment can expect to earn:

y = 5000(3) + 30000

y = 15000 + 30000

y = 45000

So the estimated salary for a salesperson with 3 years of employment is $45,000.

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Answer:

366.16

Step-by-step explanation:

use the formula v=4/3r3

6.5 to the third power

multiply by 4/3

you get 366.16π ft³