Mathematics, 03.02.2020 15:52 wolfiewolffromsketch

(note: the questions listed have pictures that belong to a certain question. question 1's picture is the first picture, 3's is the third pic, and so on. question 2 has no picture, however.)

1.) describe the transformations that will map triangle a to triangle b and illustrate the similarity between the two triangles.
a)rotate 90° clockwise and then translate 6 units down
b)translate 4 units down and rotate 180° about the origin
c)reflect the triangle across the y-axis and translate 4 units down
d)reflect triangle a across the x-axis and then translate 1 unit right

2.)a sphere is dilated by a scale factor of 1.5 to create a new sphere. how does the volume of the new sphere compare with the volume of the original sphere?
a)the volume of the new sphere is 1.5 times the volume of the original sphere.
b)the volume of the new sphere is 3.0 times the volume of the original sphere.
c)the volume of the new sphere is 1.5^2 times the volume of the original sphere.
d)the volume of the new sphere is 1.5^3 times the volume of the original sphere.

3.)if kite abcd is reflected across the x-axis, what are the resulting coordinates of point a?
a)(1, -3)
, 1)
c)(3, -1)
, -1)

4.)the triangle shown is rotated 90° counterclockwise about the origin. what are the new coordinates of point a?
a)(1, 2)
, 1)
c)(2, 1)
, -1)

(note: the questions listed have pictures that belong to a certain question. question 1's picture i

Answers: 3

Show answers

Answers

Answer from: hunter3978

1. C . . . . the change in orientation means it's not a rotation. Reflection across the x-axis would put the long side at the bottom.

2. D . . . . volumes are related by the cube of the scale factor of linear dimensions

3. B . . . . that reflection changes the sign of the y-coordinate

4. C . . . . for 90° CCW, (x, y) ⇒ (-y, x), so (1, -2) ⇒ (2, 1)

Answer from: nyjaelynn

1. The correct option is C.

2. The correct option is D.

3. The correct option is B.

4. The correct option is C.

Step-by-step explanation:

From figure (1) it is clear that the vertices of triangle A are (1,4), (2,6), (-5,6) and vertices of triangle B are (-1,0), (-2,2), (5,2).

If figure reflects across the y-axis, then

$(x,y)\rightarrow (-x,y)$

The vertices after reflection are (-1,4), (-2,6), (5,6).

If figure translated 4 units down, then

$(x,y)\rightarrow (x,y-4)$

The vertices after reflection and translation are (-1,0), (-2,2), (5,2).

Reflect the triangle A across the y-axis and translate 4 units down to get triangle B.

Therefore the correct option is C.

Volume of sphere is

$V=\frac{4}{3}\pi r^3$

where r is the radius of the sphere.

A sphere is dilated by a scale factor of 1.5 to create a new sphere. So,

Radius of new sphere = 1.5

Volume of new sphere is

$V_1=\frac{4}{3}\pi (1.5r)^3$

$V_1=\frac{4}{3}\pi (1.5)^3(r)^3$

$V_1=(1.5)^3[\frac{4}{3}\pi (r)^3]$

V_1=(1.5)^3V

The volume of the new sphere is 1.5^3 times the volume of the original sphere.

Therefore the correct option is D.

If figure reflects across the x-axis, then

$(x,y)\rightarrow (x,-y)$

From the given figure it is clear that the coordinates of point A are(-3,-1). So the coordinates of point A after reflection are

$(-3,-1)\rightarrow (-3,1)$

Therefore the correct option is B.

If figure rotated 90° counterclockwise about the origin, then

$(x,y)\rightarrow (-y,x)$

From the given figure it is clear that the coordinates of point A are(1,-2). So the coordinates of point A after rotation are

$(1,-2)\rightarrow (2,1)$

Therefore the correct option is C.

Answer from: Quest

answer: i'm great at algebra

~coco

step-by-step explanation:

Answer from: Quest

20 percentage, you can also do it on a calculator.

Another question on Mathematics

Mathematics, 21.06.2019 19:00

Will give brainliest plz hurry lexie surveyed 4 teenagers to find out approximately how many hours, per week, they read for fun, and how many siblings they have. brooke said she reads about 10 h a week for fun, and that she has 5 siblings. celia said she has 1 brother and 1 sister and reads for fun about 3 h each week. henry said he has 2 brothers and reads for fun about 30 min each week. jude said he doesn't read for fun and has 3 brothers and 3 sisters. use this information to complete the data table. express your answers as whole numbers or decimals. name hours of fun number of siblings brooke celia __ henry jude

Answers: 2

Answer

Mathematics, 21.06.2019 19:50

The probability that an adult possesses a credit card is .70. a researcher selects two adults at random. by assuming the independence, the probability that the first adult possesses a credit card and the second adult does not possess a credit card is:

Answers: 3

Answer

Mathematics, 21.06.2019 20:30

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

Answers: 1

Answer

Mathematics, 21.06.2019 23:50

Apolynomial has two terms. check all of the factoring methods that should be considered. common factor difference of cubes sum of cubes difference of squares perfect-square trinomial factoring by grouping

Answers: 3

Answer

You know the right answer?

(note: the questions listed have pictures that belong to a certain question. question 1's picture i...

Questions

Mathematics, 05.11.2020 20:30

Plz help i will rate brainest ...