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ololo11 [35]
4 years ago
5

On the graph below are three points X, Y, and Z. Write the coordinates for the given dilation. DO, -½ of Y =

Mathematics
1 answer:
DiKsa [7]4 years ago
4 0

Answer:

(-\frac{3}{2},-1)

Step-by-step explanation:

From the graph in the attachment Y has coordinates:Y(3,2)

The transformation rule for a dilation with a scale factor k about the origin is:

(x,y)\to (kx,ky)

In this case we have k=-\frac{1}{2}

We substitute the coordinates and k=-\frac{1}{2} to get:

Y(3,2)\to Y'(-\frac{1}{2}*3,-\frac{1}{2}*2)

This simplifies to:

Y(3,2)\to Y'(-\frac{3}{2},-1)

The first choice is correct.

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Find a122 of the sequence 5, 8, 11
ruslelena [56]
5, 8, 11, ... is an arithmetic sequence where:

a_1=5;\ a_2=8;\ d=8-5=3\\\\a_n=a_1+(n-1)d\to a_n=5+(n-1)\cdot3=5+3n-3=2+3n\\\\therefore\\\\a_{122}=2+3\cdot122=2+366=368
8 0
3 years ago
If you get 4=4 when solving a system of equations algebraically, it means there is no solution
natali 33 [55]

Answer:

  C) never

Step-by-step explanation:

It means the system of equations is true for all values of the variables that satisfy one of the equations. The other equation is identical, so any values that satisfy the first equation will also satisfy the second equation.

There will be an infinite number of solutions. There will never be no solution.

__

<u>Example</u>:

  x + y = 4

  -x -y +4 = 0

Adding the two equations gives ...

  (x +y) +(-x -y +4) = (4) + (0)

  4 = 4

The solutions to this system are all values of x and y such that x+y=4. There are an infinite number of such solutions.

3 0
3 years ago
what key feature(s) can be easily identified from standard form? Explain how each key feature is related to the rollercoaster. U
raketka [301]

Answer:

Step-by-step explanation:

Key features

when t = 0

the initial height is 143/3  = 47⅔ ft

initial velocity is -310/3 = -103⅓ ft/s (downward)

initial acceleration is 2(64) = 128 ft/s² (upward)

I would not like to ride this roller coaster!

that's about four times the acceleration of gravity, and it only increases as the car gets to the bottom of the curve at t = 1 s

For part 3

I'm not sure what they mean by "not realistic"

while the initial acceleration is high. the acceleration at t = 1 is zero except that in 'reality' the car would have to be going through a curve to change direction from down to up. That would create very high centripetal acceleration and therefore centripetal forces.

5 0
2 years ago
In a sale normall prices are reduced by 10% Natalie brought a pair of shoes from the sale and they cost £54 what was the origina
leonid [27]

Answer: £60

Step-by-step explanation:

Natalie bought a pair of shoes for £54 which had been reduced by 10%.

To find the original cost, assume the original cost is x.

The discount would be: 10% * x

The expression would therefore be:

x - (10% * x) = 54

x - 0.1x = 54

0.9x = 54

x = 54 / 0.9

x = £60

8 0
3 years ago
Find the point of intersection of the pair of straight lines<br> Y= -7x - 4<br> -y = 8x + 9
Aleonysh [2.5K]

Answer:

(-5,31)

Step-by-step explanation:

See image.

4 0
3 years ago
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