1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Levart [38]
3 years ago
11

For each diagram, describe a translation, rotation, or reflection that takes line ℓ to line ℓ′. Then plot and label A′ and B′, t

he images of A and B.

Mathematics
1 answer:
inn [45]3 years ago
6 0

Answer:

  1. translate down 3
  2. reflect across the horizontal line through A

Step-by-step explanation:

1. There are many transformations that will map a line to a parallel line. Translation either horizontally or vertically will do it. Reflection across a line halfway between them will do it, as will rotation 180° about any point on that midline.

In the first attachment, we have elected to translate the line down 3 units.

__

2. Again, there are many transformations that could be used. Easiest is one that has point A as an invariant point, such as rotation CW or CCW about A, or reflection horizontally or vertically across a line through A.

Any center of rotation on a horizontal or vertical line through A can also be used for a rotation that maps one line to the other.

In the second attachment, we have elected to reflect the line across a horizontal line through A.

You might be interested in
A junior college is going to choose a Homecoming Queen, and the candidates are the Freshman Queen and the Sophomore Queen. If th
KonstantinChe [14]
Count the votes, counting each sophomore ballot as 1.5 votes and each freshmen ballot as 1 vote.
ur doing this because there is 200 more freshmen then sophomores...and if u count each sophomore vote as 1.5, it would make up for the 200 more freshmen
5 0
2 years ago
Determine whether f(x) = –5x^2 – 10x + 6 has a maximum or a minimum value.
Blizzard [7]

First,

We are dealing with parabola since the equation has a form of,

y=ax^2+bx+c

Here the vertex of an up - down facing parabola has a form of,

x_v=-\dfrac{b}{2a}

The parameters we have are,

a=-5,b=-10, c=6

Plug them in vertex formula,

x_v=-\dfrac{-10}{2(-5)}=-1

Plug in the x_v into the equation,

y_v=-5(-1)^2-10(-1)+6=11

We now got a point parabola vertex with coordinates,

(x_v, y_v)\Longrightarrow(-1,11)

From here we emerge two rules:

  • If a then vertex is max value
  • If a>0 then vertex is min value

So our vertex is minimum value since,

a=-5\Longleftrightarrow a

Hope this helps.

r3t40

7 0
3 years ago
Jack bought four dozen eggs at $10 per dozen six eggs were broken what percent of his money goes to waste?
Maurinko [17]
One dozen eggs is 48 eggs. Altogether that costs 40 dollars. If six of the eggs were broken then the money wasted would be 5 dollars.

The reason that it is 5 dollars is becuase it takes 10 to buy 12 eggs, and half of that is 6. So divide both 12 and 10 (separately) and you get 5 dollars for 6 eggs.

To get the percent you must divide 5 by 40.

The answer comes out to about 12.5% or 0.125.

So in the end, 12.5% of the money was wasted due to the broken eggs.

Hope this helped!
4 0
2 years ago
Find the volume of the compound shape.​
jeyben [28]
<h3>Given:</h3>
  • Hemisphere ×2 or sphere
  • Cylinder
<h3>Solution:</h3><h3>Volume of the sphere:</h3>

v =  \frac{4}{3}  \pi {r}^{3}

v =  \frac{4}{3}  \times \pi \times  {2}^{3}

v = 33.51 \:  {m}^{3}

<h3>Volume of the cylinder:</h3>

v = \pi {r}^{2} h

v = \pi \times  {2}^{2}  \times 6

v = 75.40 \:  {m}^{3}

<h3>Total volume:</h3>

v = 75.40 + 33.51

v = 108.91 \:  {m}^{3}

<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>compound</u><u> </u><u>shape</u><u> </u><u>is</u><u> </u><u>108.91</u><u> </u><u>cubic</u><u> </u><u>meters</u><u>.</u>

4 0
1 year ago
Read 2 more answers
the sum of two numbers is -4 and their difference is -10. find the numbers. (translate to a system of equations and solve)
fiasKO [112]

Answer:

The numbers are -7 and -3

8 0
3 years ago
Other questions:
  • M is the midpoint of CF for the point c(3, 4) and f (9, 8) find MG
    11·1 answer
  • How do I move 7.03% into a decimal
    14·1 answer
  • you make a necklace using blue, purple and green beads in a ratio of 1:1:2. you use a total of 168 beads. How many green beads a
    8·2 answers
  • A spring is attatched at one end to support B and at the other end to collar A, as represented in the figure. Collar A slides al
    12·1 answer
  • In their first 11 games last season, the Panthers won 6 times. How many wins would they have had if they played 44 games?
    8·1 answer
  • Find the product? (n - 4)(3n+7)
    7·2 answers
  • The apothem is perpendicular to a side and forms two
    7·1 answer
  • Solve and check<br> please please help i will mark u as a brill it is easy please
    15·2 answers
  • Factor completely the polynomial xy+2y-2x-4? please solve asap.
    5·1 answer
  • A rental car company has noticed that the distribution of the number of miles customers put on rental cars per day is skewed to
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!