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Helga [31]
3 years ago
11

The graph of the function f(x) =x^2 is shown on the grid below. Graph the function g(x) =(x-2)^2 -4 in the interactive graph.

Mathematics
1 answer:
Anastasy [175]3 years ago
5 0

Answer:

shift it down by 4 units

Step-by-step explanation:

by the placement of the -4 it can be determined that you would shift it according to the y axis

The formula a(x-h)^2 + k = y

h represents change in x, k represents change in y

-k means shift down

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Whats the algebraic justification for this?
Vedmedyk [2.9K]
Actually, d here represents distance and r 1 and r2 are different rates of travelling d/r gives the time and we know, distance upon time is Rate .
3 0
3 years ago
There is a triangle with a perimeter of 63 cm, one side of which is 21 cm. Also, one of the medians is perpendicular to one of t
NemiM [27]

Answer:

21cm; 28cm; 14cm

Step-by-step explanation:

There is no info in the problem/s  text which one of the triangle's  side is 21 cm. That is why we have to try all possible variants.

Let the triangle is ABC . Let the AK is the angle A bisector and BM is median.

Let O is AK and BM cross point.

Have a look to triangle ABM.  AO is the bisector and AOB=AOM=90 degrees (means that AO is as bisector as altitude)

=> triangle ABM is isosceles => AB=AM  (1)

1. Let AC=21   So AM=21/2=10.5 cm

So AB=10.5 cm as well.  So BC= P-AB-AC=63-21-10.5=31.5 cm

Such triangle doesn' t exist ( is impossible), because the triangle's inequality doesn't fulfill.  AB+AC>BC ( We have 21+10.5=31.5 => AB+AC=BC)

2. Let AB=21 So AM=21 and AC=42 .So  BC= P-AB-AC=63-21-42=0 cm- such triangle doesn't exist.

3. Finally let BC=21 cm. So AB+AC= 63-21=42 cm

We know (1) that AB=AM so AC=2*AB.  So AB+AC=AB+2*AB=3*AB

=>3*AB=42=> AB=14 cm => AC=2*14=28 cm.

Let check if this triangle exists ( if the triangle's inequality fulfills).

BC+AB>AC    21+14>28 - correct=> the triangle with the sides' length 21cm,14 cm, 28cm exists.

This variant is the only possible solution of the given problem.

6 0
3 years ago
You purchase a television anda blu-ray palter together for $1,759. The blue-ray player, by itself, cost $469. How much did the t
satela [25.4K]
Both together cost $1759.
That means that sum of the two prices is $1759.
The operation that is the opposite of addition is subtraction.
We subtract $469 from $1759 to find the price of the televition.

$1759 - $469 =

     1759
  -    469
-----------
     1290

$1759 - $469 = $1290

Answer: The price of the television is $1290.


7 0
3 years ago
Read 2 more answers
At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. At another gym, each month at the g
Galina-37 [17]

Answer: it will take 6 months for both gyms to cost the same.

Step-by-step explanation:

Let m represent the number of months that it will take for the cost of both gyms be the same.

At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. This means that the total cost for m months is

12 + 20m

At another gym, each month at the gym costs $22. This means that the total cost for m months is 22m

For both costs to be the same, the number of months would be

12 + 20m = 22m

22m - 20m = 12

2m = 12

m = 12/2 = 6

3 0
3 years ago
Amir has a bag of dimes and quarters. He has a total of 31 coins worth $5.20.
Step2247 [10]

Answer

B is the correct answer.

Step-by-step explanation:

This is the given information for which system of equations would be used to find out how many dimes and quarters Amir has?

x = dimes          x = 0.10 or 0.1

y = quarters      y = 0.25

31 coins

worth $5.20       = 5.2

x + y = 31

0.1x + 0.25y = 5.2

3 0
3 years ago
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