Answer:
20 m/s
Step-by-step explanation:
Distance = rate * time
400 m = rate * 20 seconds
Divide each side by 20 seconds
400m/ 20 seconds = rate
20 m/second = rate
Answer:
63 minutes
Step-by-step explanation:
Set up a ratio equation.
(8 miles/84 minutes should be equal to 6 miles/x amount of minutes). Set the two fractions equal to each other and solve for x by cross multiplying.
Answer: It will take Dan 63 minutes to run 6 miles.
Step-by-step explanation:
= do cross product.
8x = 504
x= 63
The system of equations can be used to determine whether the road intersects the boundary of the tower’s signal; y = 2( x - 4 )² + 2 and 5 x + 11 y = 62.
If a quadratic equation is written in the form
y = a(x-h)^2 + k
then it is called to be in vertex form.
It is called so because when you plot this equation's graph, you will see the vertex point is on (h,k).
To determine a quadratic function in vertex form:
y = a ( x - 4 )² + 2
4 = a ( 5 - 4 )² + 2
4 = a + 2
a = 2
y = 2 ( x - 4 )² + 2
Then we will determine a linear function in standard form, that passes through the points ( -3, 7 ) and ( 8, 2 ).
7 = -3 m + b
2 = 8 m + b / ·(-1)
7 = - 3 m + b
- 2 = - 8 m - b
5 = - 11 m
m = -5/11,
2 = -5/11 · 8 + b,
b= 2 + 40/11,
b = 62/11
Substitue,
y = - 5/11 x + 62/11 / ·11
11 y = - 5 x + 62
5 x + 11 y = 62
Finally the system of equations is:
y = 2( x - 4 )² + 2
5 x + 11 y = 62
Learn more about vertex form of a quadratic equation here:
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(x – 3)(x – 15)
(x + 3)(x + 15)
(x – 3)(x + 15)
b.The dilation is a reduction.
c.The dilation has a scale factor of 1/3.
d.The dilation has a scale factor of 3.
e.The dilation has a scale factor of 9.
The dilation is an enlargement and the dilation has a scale factor of 3. Therefore, options A and D are the correct answer.
From figure given below, square C has side of length 3 units.
Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.
From given figure we can see the dashed figure, square has side of length 9 units.
Here we understood that the image has enlargement.
Now, scale factor = Dimensions of new image ÷ Dimensions of original image
= 9/3
= 3 units
Therefore, options A and D are the correct answer.
To learn more about the dilation visit:
brainly.com/question/13176891.
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Answer:
The dilation is also an enlargement.
Step-by-step explanation: