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2 years ago

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What is a real-world situation that can be modeled by the equation | x - 14 | = 3?

1 answer:

Anna [14]2 years ago

5 0

Absolute value is the distance/difference from a number to the standard number. In this case, the standard value is 14. Let's say 7-year-old Mike is riding his bike up and down the neighborhood street. Mike's house is located on 14th Avenue. Mom told Mike to stay within 3 blocks from home, so Mike can go as far north the 17th street and as far south to 11th street.
x-14=3 or x-14=-3
x=17 or x=11

I hope this makes sense to you.

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Need help ASAP thank you

Sergeu [11.5K]

Answer:

x = 14

Step-by-step explanation:

First put it into slope intercept form

20 = 2x - 8

Move the variable to the left hand side and change its symbol

-2x + 20 = -8

Move the constant to the right hand side and change its symbol

-2x = -8 - 20

Calculate the difference

-2x = -28

Divide both sides of the equation by -2

x = 14

Solution

X = 14

8 0

2 years ago

Bashir works in a weather station and has launched a weather ballon. The height of the baloon is 4 kilometers and it is 1 kilome

andrew-mc [135]

<u><em>Answer:</em></u>

(c) 4.1 km

<u><em>Explanation:</em></u>

We are given that the height of the balloon is 4 km and that it is 1 km away from the station.

Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image

<u>where:</u>

height of the balloon = 4 km represents one side of the triangle

distance between the base of the balloon and the station = 1 km represents the other side

distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.

<u>To get the length of the hypotenuse, we will use the Pythagorean theorem</u>

$hypotenuse = +\sqrt{(side1)^2 + (side2)^2}$

<u>Substitute with the givens:</u>

$hypotenuse = +\sqrt{(4)^2 + (1)^2}$ = √17 ≈ 4.1 km

Hope this helps :)

3 0

2 years ago

Help I’m almost out of time

VladimirAG [237]

Answer: First option.

Step-by-step explanation:

You can idenfity in the figure that $\angle FCE$ is formed by two secants that intersect outside of the given circle.

It is important to remember that, by definition:

$Angle\ formed\ by\ two\ Secants=\frac{1}{2}( Difference\ of\ intercepted\ Arcs)$

Knowing this, you can set up the following equation:

$m\angle FCE=\frac{1}{2}(BD-FE)$

Therefore, you must substitute values into the equation and then evaluate, in order to find the measure of the angle $\angle FCE$ .

This is:

$m\angle FCE=\frac{1}{2}(112\°-38\°)\\\\m\angle FCE=37\°$

6 0

2 years ago

What was the rate of change between $65 and $65 <br><br> Please help

Furkat [3]

Answer:

There is no change.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Irina18 [472]

Answer:

6

Step-by-step explanation:

subtract 3 from each side

3 0

2 years ago