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
Alexeev081 [22]
3 years ago
9

O

Mathematics
2 answers:
VikaD [51]3 years ago
7 0

Answer:

The rule for the transformation is (x, y)\rightarrow (-x, -y).

The coordinates of L' are (-2,-2).

The coordinates of N' are (-1,-6).

Step-by-step explanation:

Given:

Vertices of a triangle are: L(2,2),M(4,4)\textrm{ and }N(1,6)

The rotation is 180 degree.

So, the rule for 180 degree rotation is:

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

Therefore, the new co-ordinates of the vertices are:

L(2,2)\rightarrow L'(-2,-2)\\M(4,4)\rightarrow M'(-4,-4)\\N(1,6)\rightarrow N'(-1,-6)

So, the correct options are:

The rule for the transformation is (x, y)\rightarrow (-x, -y).

The coordinates of L' are (-2,-2).

The coordinates of N' are (-1,-6).

amm18123 years ago
4 0

Answer:

abe

Step-by-step explanation:

You might be interested in
Death Valley has an elevation of -282 feet related to sea level plane how to use absolute value to describe the elevation of Dea
mart [117]
The absolute value is the number disregarding (ignoring) the positive or negative sign. So the absolute value of -282 is l 282 l :)
8 0
3 years ago
Given 3x^2+x-4/x-1 what are the domain and range
Katarina [22]

Answer:

  • doman: x ≠ 1
  • range: y ≠ 7

Step-by-step explanation:

The domain is the horizontal extent of the graph, the set of x-values for which the function is defined. The range is the vertical extent of the graph, the set of y-values defined by the function.

<h3>Simplified</h3>

The given function is undefined where its denominator is zero, at x=1. Everywhere else, it can be simplified to ...

  \dfrac{3x^2+x-4}{x-1}=\dfrac{(x-1)(3x+4)}{(x-1)}=3x+4\quad x\ne 1

<h3>Domain</h3>

The simplified function (3x+4) is defined for all values of x except x=1. The simplest description is ...

  x ≠ 1

In interval notation, this is ...

  (-∞, 1) ∪ (1, ∞)

<h3>Range</h3>

The simplified function is capable of producing all values of y except the one corresponding to x=1: 3(1)+4 = 7. The simplest description is ...

  y ≠ 7

In interval notation, this is ...

  (-∞, 7) ∪ (7, ∞)

6 0
1 year ago
Rational, irrational numbers
liberstina [14]
Page from ready workbook, it’s about rational numbers
5 0
3 years ago
How to solve it I'm not very good at math and I want to improve my grades
faltersainse [42]
With the first problem: You always divide from the left, then the rigth. 2+246/6 = 246/6=41 41+2=43
3 0
3 years ago
Read 2 more answers
Find the volume and area for the objects shown and answer Question
klio [65]

Step-by-step explanation:

You must write formulas regarding the volume and surface area of ​​the given solids.

\bold{\#1\ Rectangular\ prism:}\\\\V=lwh\\SA=2lw+2lh+2wh=2(lw+lh+wh)\\\\\bold{\#2\ Cylinder:}\\\\V=\pi r^2h\\SA=2\pi r^2+2\pi rh=2\pir(r+h)\\\\\bold{\#3\ Sphere:}\\\\V=\dfrac{4}{3}\pi r^3\\SA=4\pi r^2

\bold{\#4\ Cone:}\\\\V=\dfrac{1}{3}\pi r^2h\\\\\text{we need calculate the length of a slant length}\ l\\\text{use the Pythagorean theorem:}\\\\l^2=r^2+h^2\to l=\sqrt{r^2+h^2}\\\\SA=\pi r^2+\pi rl=\pi r^2+\pi r\sqrt{r^2+h^2}=\pi r(r+\sqrt{r^2+h^2})\\\\\bold{\#5\ Rectangular\ Pyramid:}\\\\V=\dfrac{1}{3}lwh\\\\

\\\text{we need to calculate the height of two different side walls}\ h_1\ \text{and}\ h_2\\\text{use the Pythagorean theorem:}\\\\h_1^2=\left(\dfrac{l}{2}\right)^2+h^2\to h_1=\sqrt{\left(\dfrac{l}{2}\right)^2+h^2}=\sqrt{\dfrac{l^2}{4}+h^2}=\sqrt{\dfrac{l^2}{4}+\dfrac{4h^2}{4}}\\\\h_1=\sqrt{\dfrac{l^2+4h^2}{4}}=\dfrac{\sqrt{l^2+4h^2}}{\sqrt4}=\dfrac{\sqrt{l^2+4h^2}}{2}

\\\\h_2^2=\left(\dfrac{w}{2}\right)^2+h^2\to h_2=\sqrt{\left(\dfrac{w}{2}\right)^2+h^2}=\sqrt{\dfrac{w^2}{4}+h^2}=\sqrt{\dfrac{w^2}{4}+\dfrac{4h^2}{4}}\\\\h_2=\sqrt{\dfrac{w^2+4h^2}{4}}=\dfrac{\sqrt{w^2+4h^2}}{\sqrt4}=\dfrac{\sqrt{w^2+4h^2}}{2}

SA=lw+2\cdot\dfrac{lh_1}{2}+2\cdot\dfrac{wh_2}{2}\\\\SA=lw+2\!\!\!\!\diagup\cdot\dfrac{l\cdot\frac{\sqrt{l^2+4h^2}}{2}}{2\!\!\!\!\diagup}+2\!\!\!\!\diagup\cdot\dfrac{w\cdot\frac{\sqrt{w^2+4h^2}}{2}}{2\!\!\!\!\diagup}\\\\SA=lw+\dfrac{l\sqrt{l^2+4h^2}}{2}+\dfrac{w\sqrt{w^2+4h^2}}{2}\\\\SA=\dfrac{2lw}{2}+\dfrac{l\sqrt{l^2+4h^2}}{2}+\dfrac{w\sqrt{w^2+4h^2}}{2}\\\\SA=\dfrac{2lw+l\sqrt{l^2+4h^2}+w\sqrt{w^2+4h^2}}{2}

6 0
3 years ago
Other questions:
  • What is the square root of -64
    8·2 answers
  • (3b)^2c when b=3 and c=7
    5·2 answers
  • Robin is building a new pool to help him relax after a long night of crime fighting. The picture above shows the dimensions of t
    12·2 answers
  • What is the domain of the function shown in the mapping?
    8·1 answer
  • Gary took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours?
    8·2 answers
  • Graph the solution of the inequality –3(x + 1) ≤ 6 on the number line.
    5·1 answer
  • Drag and drop a statement or reason to each box to complete the proof.
    9·2 answers
  • How many 1/9s are in 30?
    13·1 answer
  • 12 of the 28 dogs at the shelter are purebred what percent of the dogs are pure breed?HELP!
    7·1 answer
  • Find a coterminal angle between 0° and 360°.<br> 780
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!