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Dafna11 [192]
3 years ago
14

What figure is a dilation of Figure A by a factor of 12?

Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

Answer:

The length of the side 2 in will become : 2/2 = 1 in

The length of the side 4 in will become : 4/2 = 2 in

The length of the side 1 in will become : 1/2 = 0.5 in

The length of the side 5 in will become : 5/2 = 2.5 in

Therefore, option C is correct.

Step-by-step explanation:

Some important factors about dilation:

  • A dilation is the kind of a transformation which produces an image containing same shape as the original figure, but has a different size.
  • Enlargement occurs when dilation produces a larger image than the original figure.
  • Reduction occurs when dilation produces a smaller image than the original figure.
  • The original figure is shrunk or stretched by a dilation.

When a figure is dilated by a scale factor of 1/2, the length of the image can be obtained by multiplying the factor of 1/2.

As 1/2 < 0, it means the image will be smaller.

So when a figure A is dilated by a scale factor of 1/2, the length of the image can be obtained by multiplying the factor of 1/2.

Thus

The length of the side 2 in will become : 2/2 = 1 in

The length of the side 4 in will become : 4/2 = 2 in

The length of the side 1 in will become : 1/2 = 0.5 in

The length of the side 5 in will become : 5/2 = 2.5 in

Therefore, option C is correct.

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Find the 63rd term of the arithmetic sequence -1, 5, 11, ...−1,5,11,...
Ugo [173]

Answer:

a_6_3=371

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant and this constant is called the common difference

we have

-1,5,11,...

Let

a_1=-1\\a_2=5\\a_3=11

a_2-a_1=5-(-1)=5+1=6

a_3-a_2=11-5=6

The common difference is d=6

We can write an Arithmetic Sequence as a rule

a_n=a_1+d(n-1)

where

a_n is the nth term                

d is the common difference

a_1 is the first term

n is the number of terms

Find the 63rd term of the arithmetic sequence

we have

n=63\\d=6\\a_1=-1

substitute

a_6_3=-1+6(63-1)

a_6_3=-1+6(62)

a_6_3=-1+372

a_6_3=371

6 0
3 years ago
Plz help pe with this guys, thank you.
Burka [1]
31.+ addition
32. - subtraction
7 0
3 years ago
{4x+2y=10<br> y=2x-1<br><br>What is the value of x+y<br><br>A.3.125<br>B.2<br>C.4.5<br>D.3.5​
Evgen [1.6K]

Answer:

D.3.5

Step-by-step explanation:

4x+2y=10(given)

2x+y=5

y=5-2x-----(1)

y=2x-1------(2)(given)

Since the left side of the equations are the the same,

5-2x=2x-1

4x=6

x=1.5

Sub x=1.5 into eq(1),

y = 5-2(1.5) = 5-3 = 2

so, x+y = 1.5+2 = 3.5

8 0
3 years ago
Read 2 more answers
Find the remainder when f(x) is divided by (x - k).<br><br> f(x) = 4x3 - 6x2 + 3x + 1; k= -2
laila [671]
\frac{f(x)}{(x-k)}
\frac{4x^3-6x^2+3x+1}{(x+2)}
Using Long Division, pic below
Your remainder is -61

8 0
3 years ago
Read 2 more answers
Is the graph a linear function, nonlinear function, or Relation ( non-function) ?
anastassius [24]

Answer:

A

Step-by-step explanation:

Because each value of x maps onto only one value of y, it is a function.

However, because it is not the graph of a line, it is a nonlinear function.

8 0
1 year ago
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