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SIZIF [17.4K]
3 years ago
5

If square HIJK is dilated by a scale factor of

Mathematics
2 answers:
WITCHER [35]3 years ago
3 0
C. point K is (3,-3) and the dilation moves from 3 to 1 so you divide both X and Y coordinates by 3 to get (1,-1)
hope this helps.

Sav [38]3 years ago
3 0

Answer:

C) (1, -1)  

Step-by-step explanation:

When a figure is dilated, the coordinates of each point are multiplied by the scale factor.  The scale factor in this problem is 1/3; this means that every point gets multiplied by 1/3.

The coordinates of K are (3, -3).  Applying the dilation, we have

1/3(3, -3) = (1/3*3, 1/3*-3) = (1, -1)

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Can someone explain this to me? I really need help. Thx!
Gennadij [26K]

Answer:

3 to the 4th power.

Step-by-step explanation:

Basically, here 3 to the 3rd power is 27. Multiplying it by 3 is only adding another power, making it 81, which is the same answer to 3 to the 4th power if that makes sense.

7 0
3 years ago
Can someone please answer 5, 6 and 7? Thank you.
Montano1993 [528]
Reduce a 24 cm by 36 cm photo to 3/4 original size.

The most logical way to do this is to keep the width-to-height ratio the same:  It is 24/36, or 2/3.  The original photo has an area of (24 cm)(36 cm) = 864 cm^2.

Let's reduce that to 3/4 size:  Mult. 864 cm^2 by (3/4).  Result:  648 cm^2.

We need to find new L and new W such that W/L = 2/3 and WL = 648 cm^2.

From the first equation we get W = 2L/3.  Thus, WL = 648 cm^2 = (2L/3)(L).

Solve this last equation for L^2, and then for L:

2L^2/3 = 648, or (2/3)L^2 = 648.  Thus, L^2 = (3/2)(648 cm^2) = 972 cm^2.

Taking the sqrt of both sides, L = + 31.18 cm.  Then W must be 2/3 of that, or W = 20.78 cm.

Check:  is LW = (3/4) of the original 864 cm^2?  YES.


6 0
3 years ago
Find the slope <br> help with this please it’s due soon :)
GrogVix [38]
Undefined!! i hope this helps
4 0
2 years ago
If g(x) = 5x2^2 - 10x + 9 and h(x) = -3x3^3+ 5x - 6, find g(x) - h(x)?
AnnZ [28]

Answer:

B)g(x) - h(x) =  3x^3 - 5x^2 - 15x + 15

Step-by-step explanation:

Here, the given functions are:

g(x) = 5x^2- 10x + 9 \\h(x) = -3x^3+ 5x - 6

Now, g(x) - h(x) is : 

(5x^2- 10x + 9)  - ( -3x^3+ 5x - 6)\\= 5x^2- 10x + 9 + 3x^3 - 5x + 6\\= 3x ^3 + 5x ^2+  (-10 x - 5 x) + (9 + 6)\\= 3x^3 - 5x^2 - 15x + 15

⇒(5x^2- 10x + 9)  - ( -3x^3+ 5x - 6) =  3x^3 - 5x^2 - 15x + 15

B) Hence, g(x) - h(x) =  3x^3 - 5x^2 - 15x + 15

3 0
3 years ago
In order to have 1 million dollars in 40 years with an annual interest rate of 11.6%, I will have to invest $_ (round to the nea
tino4ka555 [31]
To solve the problem we use the compound formula given by:
A=p(1+r/100)^n
where:
A=future amount:
p=principle
r=rate
A=1000000, r=11.6%, n=40
plugging the value in the formula we get:
1000000=p(1+11.6/100)^40
solving for p we get:
1000000=80.6432p
p=12400.300
rounding to the nearest 1000 we get
p=$12000
Answer: 
<span>A.) 12,000</span>
3 0
3 years ago
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