MATHEMATICS COLLEGE

A line segment is dilated by a scale factor of 2 centered at a point not on the line segment. Which statement regarding the relationshipbetween the given line segment and its image is true?
A The line segments are parallel, and the image is twice the length of the given line segment.
B. The line segments are parallel, and the image is one-half of the length of the given line segment.
C. The line segments are perpendicular, and the image is twice the length of the given line segment.
DD The line segments are perpendicular, and the image is one-half of the length of the given line segment.

Answers

Answer 1

Answer:

9514 1404 393

Answer:

A The line segments are parallel, and the image is twice the length of the given line segment.

Step-by-step explanation:

Dilation by a factor of 2 means any measure of the image is 2 times the corresponding measure of the original.

Dilation does not change any orientations, so the image will have the same orientation with respect to the origin, axes, or any other line segments. That means the dilated segment is parallel to the original. (If the center of dilation is on the original line segment, the dilated segment will overlay the original segment. That is specifically not the case here.)

Related Questions

Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4.
A puppy weighs 12 ounces. What fractional part of a pound is this?
203.530 divided by 0.7=
Which is true about the polynomial –8m3 + 11m?It is a trinomial with a degree of 3. It is a trinomial with a degree of 3. It is a trinomial with a degree of 2. It is a trinomial with a degree of 2. It is a binomial with a degree of 3. It is a binomial with a degree of 3. It is a binomial with a degree of 2.
An athlete eats 85 grams of protein per day while training. How much is this in milligrams ?

Carlos has decided to buy a new mountain bike that costs $295.90 before tax. Sales tax is 4.5%. How much sales tax will he pay?

Answers

All we need to do is multiply the price by the tax:
0.045(29590)
1331.55
13.33155
We can round:
Carlos will pay $13.33 sales tax.

How many different patrols of 6 girls can be selected from a troop of 24 Girl Scouts?

Answers

Answer:

Step-by-step explanation:

In ∆ABC, c=5.4, a= 3.3 and M less than A =20. What are the possible approximate length of b? Use the laws of sines to find answer 2.0 units and 4.6 units
2.1 units and 8.7 units
2.3 units and 7.8 units
2.6 units and 6.6 units

Answers

The Law of Sines tells you

... sin(C)/c = sin(A)/a

... sin(C) = c·sin(A)/a . . . . multiply by c

... C = arcsin(c·sin(A)/a) . . take the inverse sine

Then

... sin(B)/b = sin(A)/a . . . . law of sines again

... b = a·sin(B)/sin(A) . . . . multiply by a·b/sin(A)

where B = 180° - A - C = 160° - C . . . . . . sum of angles in a triangle is 180°

Filling in the given values, we get

... C = arcsin(5.4·sin(20°)/3.3) ≈ 34.033° or 145.967°

Then

... B = 125.967° or 14.033°

and

... b = 3.3/sin(20°)·sin(125.967°) or 3.3/sin(20°)·sin(14.033°)

... b = 7.8 or 2.3 . . . units

The appropriate choice is

... 2.3 units and 7.8 units

Answer:

C)2.3 units and 7.8 units

Step-by-step explanation:

Determine the slope of the line that has the following coordinates: (5, 9)(11, - 3)

Answers

Answer:

$x_1 = 5, x_2 =11, y_1 =9, y_2 = -3$

The slope can be founded with this formula:

$m =(y_2 -y_1)/(x_2 -x_1)$

And replacing we got:

$m =(-3 -9)/(11-5)= -2$

And the best answer for this case would be :

$m=-2$

Step-by-step explanation:

For this case we have the following two points given:

$x_1 = 5, x_2 =11, y_1 =9, y_2 = -3$

The slope can be founded with this formula:

$m =(y_2 -y_1)/(x_2 -x_1)$

And replacing we got:

$m =(-3 -9)/(11-5)= -2$

And the best answer for this case would be :

$m=-2$

What is the perimeter of a square with s = 8 centimeters?

Answers

Answer:

32centimeters

Step-by-step explanation:

4 sides are in a sqaure and all of them are equal so

8 times 4 is 32

Helpppppp , quick answer with work pleaseeee

Answers

Answer:

Step-by-step explanation:

$√(x-2)+8=x\n\n√(x-2)=x-8\n$

Square both sides,

$x-2=(x-8)^(2)\n\nx-2=x^(2)-2*x*8+8^(2)\n\nx-2=x^(2)-16x+64\n\nx^(2)-16x+64=x-2\n\nx^(2)-16x+64-x+2=0\n\nx^(2)-17x+66=0$

Sum = - 17

Product = 66

Factors = -6 , -11

x² - 6x -11x + (-6)*(-11) = 0

x(x - 6) -11(x - 6) = 0

(x-6) (x - 11) = 0

x -6 = 0 ; x - 11 = 0

x = 6 ; x =11

Here, x = 6 is a extraneous solution

Other Questions

you drink a beverage with 120 mg of caffeine. Each hour, the amount m of caffine in a persons system decreases by 12%. About how much caffeine will be in your system after 3 hours? Round your answer to the nearest milligram

Factor x3 ‒ 11x2 ‒ 7x + 77 by grouping. What is the resulting expression?a(x2 ‒ 7)(x ‒ 11)b(x2 ‒ 7)(x + 11)c(x2 ‒ 11)(x + 7)d(x2 ‒ 11)(x ‒ 7)

H=10 cm r= 7cm calculate the volume of the cylinder

What is three and sixteen hundredths written in expanded form