Answer:
The distance between Eddie's home and the school is 3000 m
Step-by-step explanation:
Consider the provided information.
His sister started walking at 8.00 am at an average speed of 50 m/min. Eddie started walking at 8.05 am at a speed of 60 m/min. Eddie caught up with his sister at mid-point between the school and his home.
Let the distance between school and home is x.
Let t is the time taken by Eddie sister to reach at mid-point between school and home.
Eddie caught up with his sister at mid-point between the school and his home.
That means his sister covers x/2 distance.
Speed of Eddie sister is 50 m/min.
.....(1)
Eddie started walking at 8.05 am at a speed of 60 m/min.
![t-5=\frac{\frac{x}{2}}{60}](https://tex.z-dn.net/?f=t-5%3D%5Cfrac%7B%5Cfrac%7Bx%7D%7B2%7D%7D%7B60%7D)
.....(1)
Equate both the equation as shown:
![\frac{\frac{x}{2}}{50}=\frac{\frac{x}{2}}{60}+5](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7Bx%7D%7B2%7D%7D%7B50%7D%3D%5Cfrac%7B%5Cfrac%7Bx%7D%7B2%7D%7D%7B60%7D%2B5)
![\frac{x}{100}=\frac{x}{120}+5](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B100%7D%3D%5Cfrac%7Bx%7D%7B120%7D%2B5)
![\frac{x}{100}-\frac{x}{120}=5](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B100%7D-%5Cfrac%7Bx%7D%7B120%7D%3D5)
![\frac{12x-10x}{1200}=5](https://tex.z-dn.net/?f=%5Cfrac%7B12x-10x%7D%7B1200%7D%3D5)
![2x=6000](https://tex.z-dn.net/?f=2x%3D6000)
![x=3000](https://tex.z-dn.net/?f=x%3D3000)
Hence, the distance between Eddie's home and the school is 3000 m
Answer:
Step-by-step explanation:
3x^2 = 24
devide by 3
x^2 = 8
x =2.828427125
I think the answer is y = 2x + 1 from the formula y = mx+b when x = 0, y = 1
y = 2(0) + 1 = 1
y = 2(1) + 1 = 2+1 = 3
y = 2(2) + 1 = 4+1 = 5
etc.
<em>Rigid transformation</em> is a <u>method</u> that requires <em>changing</em> either the <em>orientation,</em> <u>size</u>, or <em>dimensions</em> of a given <em>object.</em> Thus the <u>transformation</u> that could be used is: <u>Translate </u>triangle ABC so that point C lies on point E to confirm ∠C ≅ ∠E.
<em>Rigid transformation</em> is a <u>method</u> that requires <em>changing</em> either the <u>orientation</u>,<em> size</em>, or <em>dimensions</em> of a given <em>object.</em> this process thus produces a required image of the given object. Types of <em>rigid transformation</em> include <u>reflection</u>, <em>dilation</em>, <u>translation</u>, and <em>rotation</em>.
- <u>Rotation</u> is a method that can be used to <u>change</u> the <em>orientation</em> of a given <em>object.</em>
- <u>Translation</u> requires <em>moving</em> every point on the given object in the <u>same</u> direction and distance.
- <u>Dilation</u> involves <u>resizing </u>the object.
- <u>Reflection</u> is a method used to flip the given object about a <u>reference</u> point or line.
Thus <em>considering</em> the given question, the <u>transformation</u> that would be used is: <em>Translate</em> triangle ABC so that point C lies on point E to confirm ∠C ≅ ∠E.
For more clarifications on rigid transformation, visit: brainly.com/question/2222755
#SPJ 1