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Doss [256]
3 years ago
5

(02.02 MC)

Mathematics
1 answer:
hoa [83]3 years ago
3 0

So for the rhombus to carry onto itself, it needs to start in one position and end up in that same position. In this case, (x,y) will need to end up on (x,y) after the reflections are done. Here what the options do:

A: y-axis, x-axis, y-axis

(x,y) -> (-x,y) -> (-x,-y) -> (x,-y)

B: x-axis, y-axis, y-axis

(x,y) -> (x,-y) -> (-x,-y) -> (x,-y)

C: y=x, x-axis, y=x, y-axis

(x,y) -> (y,x) -> (y,-x) -> (-x,y) -> (x,y)

D: x-axis, y=x, x-axis, y=x

(x,y) -> (x,-y) -> (-y,x) -> (-y,-x) -> (-x,-y)

The only option that starts as (x,y) and ends as (x,y) is C: y=x, x-axis, y=x, y-axis, therefore making that the correct answer.

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Andre is setting up rectangle tables for a party. He can fit 6 chairs around a single table. Andre lined up 10 tables end to end
IRINA_888 [86]
If there is one table (t=1) then 6 chairs (c=6) can be placed around the table, 2 along the length on each side and 1 at each end.
When t=2, and the tables are end to end (joined at their width) c=10, that is, 4 chairs on each side of the double table and 1 at each end. Each time a table is added c increases by 4 so we can write c=4t+2 the constant 2 being the single chair at each end. If the tables are separated then c=6t.
5 0
2 years ago
Z varies directly as x2. If z = 16 when x = 2, find z when x = 5.<br> ...<br> Z=
PtichkaEL [24]

Answer:

100

Step-by-step explanation:

it is a bit unclear to me, what that problem description means.

if I understand it correctly, than z is directly depending on x².

so, z = 16 for x = 2. x² = 4

I pondered a little bit, as there are several possibilities to connect 16 with 4 as a driving factor (e.g. 2⁴ = 16, 4×4 = 16, 12 + 4 = 16).

I decided to go with the simplest interpretation with the usual meaning of "varies" (multiplication) : 4×x²

that would mean

z = 4×x² = 4×5² = 4×25 = 100

3 0
2 years ago
a triangular prism has an equilateral base with each side of the triangle measuring 8.4 centimeters The height of the prism is 1
Andrew [12]

The correct answer is:

D. 20.4 cm - 16.8 cm (attached)

The triangular prism is similar to the described prism.

|Huntrw6|

8 0
3 years ago
Read 2 more answers
How do you solve 7a- 17=4a+1
Dennis_Churaev [7]

Answer:

a = 6

Explanation:

7a − 17 = 4a + 1

Subtract 4a from both sides

7a − 17 − 4a = 4a + 1 − 4a

3a − 17 = 1

Add 17 to both sides

3a − 17 + 17 = 1 + 17

3a = 18

Divide both sides by 3

3a / 3 = 18 / 3

a = 6

5 0
3 years ago
What is the coefficient of the second term of the trinomial?
marin [14]
The coefficient of the second term is 18.

What you do is you FOIL the terms:
(3x+3)(3x+3)\\ Multiply\ the\ first\ terms\ together:\\ 3x*3x=9x^{2}\\ Then\ the\ outer\ terms:\\ 3x*3=9x\\ Next,\ the\ inner\ terms:\\ 3x*3=9x\\ Finally,\ multiply\ the\ last\ terms:\\ 3*3=9\\ Putting\ the\ terms\ together:\\ 9x^{2}+9x+9x+9=9x^{2}+18x+9\\\\ Since\ (3x+3)^{2}=9x^{2}+Bx+9=9x^{2}+18x+9,\ then \ B=18.
7 0
3 years ago
Read 2 more answers
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