An air show is scheduled for an airport located on a coordinate system measured in miles. The air traffic controllers have closed the airspace, modeled by a quadratic equation, to non-air show traffic. The boundary of the closed airspace starts at the vertex at (10, 6) and passes through the point (12, 7). A commuter jet has filed a flight plan that takes it along a linear path from (–18, 14) to (16, –13). Which system of equations can be used to determine whether the commuter jet’s flight path intersects the closed airspace?

Answer:

0.6

Step-by-step explanation:

took the test

The number of groups the science teacher can make is 5.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The total number of students is 20.

And, the number of students in one group is 4.

Now, the number of groups can be found using the following operation as,

Number of group = Total students ÷ Number for each group

⇒ 20 ÷ 4 = 5.

Hence, the total number of groups can be obtained as 5.

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Answer:

Step-by-step explanation:

By the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180.  If two of the angles are the same, then we will call them x.  The third one is 39 more than the measure of each of the other angles, so the third angle measures x + 39.  In equation form,

x + x + x + 39 = 180 and

3x + 39 = 180 and

3x = 141 so

x = 47

That means that the largest angle measures 47 + 39 which is 86

each team plays 9 games

 ( Team 1 plays team 2 3 times, team 3 3 times, team 4 3 times )

9 x 4 = 36 games total

hn is half the total length

38/2 = 19

Answer:

It's option

A) the term...

C) after multiplying

D) the parentheses

Step-by-step explanation:

EDG2021

To write a direct variation equation, we use the form y = kx, where k is the constant of variation. We can find the value of k by substituting the given values into the equation. Once we have the value of k, we can write the direct variation equation that relates x and y. Finally, we can find the value of y for a given value of x by substituting it into the equation.

To write a direct variation equation, we use the form y = kx, where k is the constant of variation. We are given that y = 15 when x = 6. To find k, we can substitute these values into the equation:

15 = k * 6

To find the value of k, we divide both sides by 6:

k = 15/6 = 2.5

Now we can write the direct variation equation that relates x and y:

y = 2.5x

To find the value of y when x = 7, we substitute x = 7 into the equation:

y = 2.5 * 7 = 17.5

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The statement which is NOT true among the given options is the first option - falls with a constant speed of -10 m/s.

In order to the determine which of the statements is NOT true, we will study each of the options one after the other.

When an object is in a state of free fall, the speed is not constant. The speed actually increases as it moves closer to the ground.

∴ The first option is NOT true

An object that is falling freely, falls under the influence of gravity. Acceleration due to gravity is approximately 10 m/s/s (10m/s²).

Therefore, an object in a state of free fall, falls with an acceleration of -10 m/s/s (The negative sign indicates deceleration, because the object is moving towards the ground).

∴The second option is true

As stated earlier, an object in a state of free fall, falls under the influence of gravity.

∴ The third option is true

As stated earlier, an object in a state of free fall, falls under the influence of gravity and acceleration due to gravity is approximately 10 m/s/s (10m/s²). This value is constant.

∴ The fourth option is true

Hence, the statement which is NOT true among the given options is the first option, falls with a constant speed of -10 m/s

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The answer is c.) 4/33

It is the third one on the graph.

Answer:

it was the 3rd one. i took the test :)

Answer 1061

Step-by-step explanation:

Answer:

At 5:00 p.m. the planes will be [tex]1061.323[/tex] miles apart.

Step-by-step explanation:

To solve this problem, I add a picture of the situation.

We know that speed is distance over time  ⇒

[tex]Speed=\frac{distance}{time}[/tex] (I)

The first step to solve this exercise is to graph the situation. We can draw a right triangle which vertices will be ''Tulsa'', and the planes ''A'' and ''B'' at 5:00 p.m.

In order to know the measures of the sides, we are going to calculate them using the equation (I)

Plane A leaves Tulsa at 2:00 p.m.

Therefore, at 5:00 p.m. it will have flown 3 hours ⇒

[tex]300\frac{mi}{h}=\frac{distance}{3h}[/tex] ⇒

[tex]distance=(300\frac{mi}{h}).(3h)[/tex]

[tex]distance=900mi[/tex]

At 5:00 p.m. the distance from the plane A to Tulsa is 900 mi

Plane B leaves Tulsa at 2:30 p.m.

Therefore, at 5:00 p.m. it will have flown 2.5 hours ⇒

[tex]225\frac{mi}{h}=\frac{distance}{2.5h}[/tex]

[tex]distance=(225\frac{mi}{h}).(2.5h)[/tex]

[tex]distance=562.5mi[/tex]

At 5:00 p.m. the distance from the plane B to Tulsa is 562.5 mi

Finally, we can find the distance between the plane A and the plane B using the Pythagorean theorem :

[tex](900mi)^{2}+(562.5mi)^{2}=(Distance_{A-B})^{2}[/tex]

[tex]810000mi^{2}+316406.25mi^{2}=(Distance_{A-B})^{2}[/tex]

[tex](Distance_{A-B})^{2}=1126406.25mi^{2}[/tex]

[tex]Distance_{A-B}=\sqrt{1126406.25mi^{2}}[/tex]

[tex]Distance_{A-B}=1061.322877mi[/tex] ≅ [tex]1061.323mi[/tex]

At 5:00 p.m. the planes will be 1061.323 miles apart.

Answer:

D

Step-by-step explanation:

If her pay is $560, her sales is "something" whose 5.5% is 560.

We can setup the equation below and solve (let total sales be [tex]s[/tex]):

[tex](0.055)(s)=560\\0.055s=560\\s=\frac{560}{0.055}\\s=10,181.82[/tex]

Answer choice D is right.

The coordinates of the other dot across the y-axis will be located at (4,-4).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

Since the first value corresponds to the horizontal x-coordinate and the second to the vertical y-coordinate, moving horizontally across the y-axis is the result. As a result, you need to multiply the x-coordinate by 14. Since the direction of your first x-coordinate, -10, is positive, you must add. the solution is (4,-4).

Thus, the coordinates of another dot across the y-axis will be located at (4,-4).

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The North American and European continents will take approximately 166,667 years to drift 500 km farther apart than they are at present.

The North American and European continents are moving apart at a rate of about 3 cm/y. To determine how long it will take for them to drift 500 km farther apart than they are at present, we can use the formula:

Time = Distance / Rate

First, we need to convert the distance from kilometers to centimeters. There are 100,000 centimeters in 1 kilometer, so 500 km is equal to 500,000 cm.

Using the formula, the time it will take is:

Calculating this, we find that it will take approximately 166,667 years for the continents to drift 500 km farther apart than they are at present.

The probability of getting 2 toppings on the hamburger is 1/28 or approximately 0.0357.

To calculate the probability of getting exactly 2 toppings on your hamburger, we need to consider the total number of possible combinations of toppings and the number of ways to choose 2 toppings out of those combinations.

There are 8 toppings in total, so the total number of possible combinations is 8 choose 2, which is calculated as 8! / (2! * (8-2)!), or 28.

Since you want exactly 2 toppings, the probability is the number of ways to choose 2 toppings out of the total combinations divided by the total number of possible combinations, which is 1/28 or approximately 0.0357 (rounded to four decimal places).

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i know this is very late but for future people its

1/2 (10 + x)