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sergij07 [2.7K]
3 years ago
9

PLEASE HELP! Triangle A’B’C’ is a dilation of triangle ABC.

Mathematics
2 answers:
sergejj [24]3 years ago
6 0
The scale factor is (x2)!

9×2 = 18
4 1/2 × 2 = 9
hram777 [196]3 years ago
3 0

Answer:   0.5

Step-by-step explanation:

We know that the scale factor for dilation is the ratio of the side-length of the image to the side-length of the pre-image.

From the given figure, In Pre-image ΔABC , we have  AC=18              

In Pre-image ΔA'B'C', we have A'C'=9          

Now, the scale factor will be :_

k=\dfrac{A'C'}{AC}=\dfrac{9}{18}=\dfrac{1}{2}=0.5

Now, the scale factor for this dilation = 0.5

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So 3/5 of 20 is what
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3/5 times 20/1=(3*20)/(5*1)=60/5=12/1=12

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8 0
3 years ago
A ball is tossed up in the air at an initial rate of 50 ft/sec from 5 ft off the ground.
Fofino [41]

Answer with Step-by-step explanation:

Since we have given that

Initial velocity = 50 ft/sec = v_0

Initial height of ball = 5 feet = h_0

a. What type of function models the height (ℎ, in feet) of the ball after tt seconds?

As we know the function for height h with respect to time 't'.

h(t)=-16t^2+v_0t+h_0\\\\h(t)=-16t^2+50t+5

b. Explain what is happening to the height of the ball as it travels over a period of time (in tt seconds).

What function models the height, ℎ (in feet), of the ball over a period of time (in tt seconds)?

if it travels over a period of time then time becomes continuous interval . so it will use integration over a period of time

Our function becomes,

h(t)=\int\limits^t_0 {-16t^2+50t+5} \, dt

3 0
2 years ago
Together, kamela and Leo have 198 stamps. Kamela’s collection has 62 more stamps Thant Leon’s collection. How many stamps does L
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2 years ago
If x – 9 is a factor of x2 – 5x – 36, what is the other factor? x – 4 x 4 x – 6 x 6
Sergio [31]

Answer:

(x+4)

Step-by-step explanation:

Solve by factoring. Think about what numbers multiply to be -36 (the last term) BUT also subtract/add up to be -5, which is the middle term. The answer to this is 4 and -9. Therefore, the two factors are (x-9)(x+4)

8 0
3 years ago
Expand and simplify (x+5)(x+6)
seraphim [82]

Answer:

2

+

1

1

+

3

0

Step-by-step explanation:

(

+

5

)

(

+

6

)

{\color{#c92786}{(x+5)(x+6)}}

(x+5)(x+6)

(

+

6

)

+

5

(

+

6

)

6 0
2 years ago
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