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3 years ago

Which of the following describes the image of a figure after a dilation that has a scale factor between zero and one?

Mathematics

1 answer:

g100num [7]3 years ago

7 0

Answer:

When a figure or shape is dilated , the size of the figure either enlarges or shrank without changing its actual shape.

Shape or figure after dilation is similar to original figure.

If the scale or factor of dilation is greater than 1 the shape enlarges.

If the scale factor lies between 0<scale factor<1, then the figure shrinks i.e size reduces.

So out of all the options given →It has the same shape as the original and is smaller than the original figure.

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Solve the equation 3(x + 1) − 2 = x + 5. Question 12 options: x = 2 x = 3 x = 4 x = 3.5

svlad2 [7]

x = 2

Step-by-step explanation:

3(x + 1) - 2 = x + 5

3x + 3 - 2 = x + 5

3x + 1 = x + 5

3x - x = 5 - 1

2x = 4

x = 4 / 2

x = 2

6 0

2 years ago

Find the slope of the line passing through the points (-3, 7) and (2, -6)

ruslelena [56]

Answer:

Step-by-step explanation:

$Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-6-7}{2-[-3]}=\dfrac{-6-7}{2+3}\\\\\\=\dfrac{-13}{5}$

5 0

2 years ago

A square piece of paper has an area of x2 square units. A rectangular strip with a width of 2 units and a length of x units is c

vlabodo [156]

Let

x--------> the length side of the original square paper

we know that

the area of the original square paper is equal to

$A1=x*x=x^{2} \ units^{2}$

the area of the remaining piece of paper is equal to

$A2=x^{2} -2x\\ A2=120\ units^{2} \\ so\\ x^{2} -2x=120\\ x^{2} -2x-120=0$

therefore

the answer is the option

x2 − 2x − 120 = 0

6 0

3 years ago

Read 2 more answers

A triangular section of land is fenced off due to contamination. Two sides of the triangle are each 16 meters ( 16m) longer than

Sphinxa [80]

Answer: the shortest side is 30m

Step-by-step explanation:

Let the shortest side be a meters

If side 2 is 16m longer than the shortest side, then it is (16+a)meters.

The same goes with side 3.

Then,

a + (16+a) + (16+a) = 122m

32 + 3a = 122m

Collecting like terms together,

3a = 122 - 32

3a = 90

Divide by coefficient of a

3a/3 = 90/3

a = 30 meters

Check:

30 + (16+30) + (16+30)

30 + 46 + 46 = 112

8 0

3 years ago

Read 2 more answers

I really need help, please

solong [7]

Answer:

C: $\frac{5}{2} + \frac{1}{2} i$

Step-by-step explanation:

Did this through my TI-89 calculator. ^^

6 0

3 years ago