How do i reflect triangle ABC if A (2,3), B (1,1), C(4,-3) over the x axis. Also rotating the triangle 90 degrees clockwise about the origin.
Answers
9514 1404 393
Answer:
see attached. red = reflected; blue = rotated
Step-by-step explanation:
The relevant coordinate transformations are ...
(x, y) ⇒ (x, -y) . . . . . reflection over the x-axis
(x, y) ⇒ (y, -x) . . . . . rotation 90° CW
In the attached figure, the red triangle A'B'C' is reflected. The blue triangle A"B"C" is rotated.
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Additional comment
Learning to visualize these transformations can take a little practice. It can help to draw the figure on a graph, trace it on another piece of paper or transparency, then move the copy to the new position relative to the old axes.
For reflection across the x-axis, the x-axis of the copy is aligned with the original, but the copy is flipped over so the old +y axis is aligned with the -y axis, and vice versa.
For rotation 90° CW, what was the +y axis becomes aligned with the +x axis, and what was the +x axis becomes aligned with the -y axis. That is, the figure is rotated 90° CW about the origin so anything in the first quadrant is moved to the 4th quadrant.
Related Questions
please help 10 points for the question i dont know why but my brain cannot compute this question
Answers
9514 1404 393
Answer:
(b) 6^10/7^6
Step-by-step explanation:
The applicable rules of exponents are ...
(a/b)^c = (a^c)/(b^c)
(a^b)^c = a^(bc)
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This means you have ...
[tex]\left(\dfrac{6^5}{7^3}\right)^2=\dfrac{(6^5)^2}{(7^3)^2}=\dfrac{6^{5\cdot2}}{7^{3\cdot2}}=\boxed{\dfrac{6^{10}}{7^6}}[/tex]
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Additional comment
I find it helpful to remember that an exponent signifies repeated multiplication. Then ...
[tex]\left(\dfrac{6^5}{7^3}\right)^2=\left(\dfrac{6^5}{7^3}\right)\cdot\left(\dfrac{6^5}{7^3}\right)=\dfrac{6^5\cdot6^5}{7^3\cdot7^3}=\dfrac{6^{5+5}}{7^{3+3}}=\dfrac{6^{10}}{7^6}[/tex]
State the gradient of the line perpendicular to the line y = 3x - 2.
Answers
Answer:
Step-by-step explanation:
y = 3x - 2
Slope of line is 3.
Slope of any perpendicular to the line is -⅓.
53 x(41 x 11) = (53 x 41) x 11
A. True
B. False
Answers
Step-by-step explanation:
As it holds Associative property..
So, it's correct
Answer:
TRUE
Step-by-step explanation:
Associative property of multiplication
em 4
A homeowner is deciding on the size of tiles to use to fully tile a rectangular wall in her bathroom
that is 80 inches by 40 inches. The tiles are squares and come in three side lengths: 8 inches, 4
inches, and 2 inches. State if you agree with each statement about the tiles. Explain your
reasoning
1. Regardless of the size she chooses, she will need the same number of tiles.
2. Regardless of the size she chooses, the area of the wall that is being tiled is the same.
3. She will need two 2-inch tiles to cover the same area as one 4-inch tile.
4. She will need four 4-inch tiles to cover the same area as one 8-inch tile.
5. If she chooses the 8-inch tiles, she will need a quarter as many tiles as she would with 2-inch
tiles.
(From Unit 1, Lesson 2.)
Kandall Hunt
Illustrative
No
Answers
Answer:
its either 2 or 4
Step-by-step explanation:
6(10+5)=6•10+6•5 true or false
Answers
Answer:
true, I hope this will help.
[tex]\boxed{\underline{\bf \: True}}[/tex]
Step-by-step explanation:[tex] \sf \: 6(10 + 5) = 6•10 + 6•5 [/tex]
Check with LHS = RHS rule method.
LHS
[tex]\sf6(10 + 5) \\ \sf = 6(15) \\ \sf = 6 \times 15 \\ \bf = 90[/tex]
RHS
[tex]\sf6•10 + 6•5 \\ \sf = 60 + 30 \\ \bf= 90[/tex]
We can see that both LHS & RHS give [tex]\boxed{\underline{\bf \: 90}}[/tex]as the solution. LHS = RHS. Hence proved.
Answer -> [tex]\boxed{\underline{\bf \: True}}[/tex]
_______________
Hope it helps.
RainbowSalt2222
PLZZZ HELP ME
Solve the equation and check your solution.
1. 3(x+6)=18+3x
2. -2(x-1)=2-2x
3. x+4=-2+x
4. -2(x+2)=5-2x
Answers
Answer:
1. 0
2.0
3.2
4.1
Step-by-step explanation:
1.3x+18
2.-2x+2
3.x-x+4-2
5-2x-2+5-2x
Answer:
3x + 18 = 18 + 3x-2x + 2 = 2 - 2x4 = -2 (the statement is false)-4 = 5 (the statement is false)3) Find the range of the function.
f(x) = -x2 - 5
A) [5,-)
B) (-0,5]
[-5,-)
D) (--, -5]
Answers
Answer:
Range is (0, -5)
Step-by-step explanation:
[tex]{ \sf{f(x) = - {x}^{2} - 5}}[/tex]
when x is 0:
[tex]{ \sf{f(0) = - 5}}[/tex]
Help ASP!
What is the unknown exponent to the 10?
50 X 8,000 = 4 x 10
Answers
Answer:
40
Step-by-step explanation:
i need point so i am writing this sentence you have to do 4 times 10 (4×10) it is 40
how do i convert mixed frations into improper fractions\
Answers
Answer:
how to convert
Step-by-step explanation:
To convert a mixed number to an improper fraction, follow these steps: Multiply the denominator of the fractional part by the whole number, and add the result to the numerator. Use this result as your numerator, and place it over the denominator you already have. This method works for all mixed numbers
Answer:
Change the whole numbers
Step-by-step explanation:
For example
5 3/6
A whole number written as a fraction for this problem is 6/6.
If the problem was 7 4/9, it would 9/9
I'd the problem was 2 3/4, it would be 4/4.
So basically a whole number written as a fraction is when both the top and bottom number are the same. when divide by each other they equal one. 6 divided by 6 is 1, 9 divided by 9 is 1, 4 divide by 4 is 1.
First
Turn 5 3/6 into 5/1 + 3/6
Now add them to together
To add fractions together they have to have the same denominator or bottom number.
What is a number 1 and 6 have in common ?
6 because 1 can be multiplied with any number but 6 can never be multiplied to create 1.
5 is simple 5 whole numbers
so 5/1 × 6/6= 30/6
30/6 + 3/6 = 33/6
now it's an improper faction. There is no whole number, it been converted into a fraction where the top is bigger than the bottom hence why it is improper
HW #3 review
I will give brainliest to whoever gets it right
Answers
Hi there!
The numbers you have written there are correct.
[tex]-5<x<0[/tex] is true for any value of x that is greater than -5 or less than 0.
When a number is less than 0, we know that it has to be negative.
However, it cannot be more negative than -5. It cannot be -5 either.
So, x could be -1, -2, -3, -4, -1/2, -2.3, -4.9, the list goes on.
I hope this helps!
is a graph with asymptotes discontinious?
Answers
Answer:
In order for the function to be discontinuous at an asymptote, the curve needs to exist on both sides of the asymptote. If the curve only exists on one side of the asymptote, then there's no discontinuity at that point.
Step-by-step explanation:
Hope this helps, please give me brainliest:)
In the Cartesian coordinate system, which coordinate point represents the location of the
origin?
A. (0, 1)
B.(0, 0)
C.(1.O)
D.(1, 1)
Answers
Answer:
(0, 0)
Step-by-step explanation:
Each reference line is called a coordinate axis or just axis (plural axes) of the system, and the point where they meet is its origin, at ordered pair (0, 0).
I need help with math please here is a photo
Answers
Which statement best describes the relationship between the two figures?
Answers
Answer:
The congruency of triangle is the statement that describes the relationship between two figures Step-by-step explanation:
plz with steps .. it's very hard can anyone plz
Answers
Answer:
Step-by-step explanation:
[tex]\displaystyle\ \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\frac{0}{0} \\\\we\ can \ use\ Hospital's\ Rule\\\\\\f(x)=\sqrt{2x}-\sqrt{3x-a} \qquad f'(x)=\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} \\\\g(x)=\sqrt{x} -\sqrt{a} \qquad g'(x)=\dfrac{1}{2\sqrt{x}} \\\\\\\displaystyle\ \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\lim_{n \to a} \dfrac{\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} }{\dfrac{1}{2\sqrt{x}} }\\\\[/tex]
[tex]\displaystyle \lim_{n \to a} \dfrac{2\sqrt{x} }{\sqrt{2x}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}} =\lim_{n \to a} \dfrac{2 }{\sqrt{2}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3*\sqrt{a} }{\sqrt{2a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3}{\sqrt{2}}\\\\\\=-\ \dfrac{1}{\sqrt{2}}\\\\[/tex]
the volume of the cone is given by the formula V = 1/3 pie r^2 h, where r is the radius of the base and h is the height of the cone. based on this formula, whatis the height, h, of the cone in terms of the volume and height
answer is h=3v/pie r^2. need help with showing work
Answers
9514 1404 393
Answer:
h = 3V/(πr²)
Step-by-step explanation:
The formula can be solved for h by multiplying both sides by the inverse of the coefficient of h.
[tex]V=\dfrac{1}{3}\pi r^2h=\dfrac{\pi r^2}{3}h\\\\(\dfrac{3}{\pi r^2})V=(\dfrac{3}{\pi r^2})(\dfrac{\pi r^2}{3})h\\\\\boxed{\dfrac{3V}{\pi r^2}=h}[/tex]
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Additional comment
Whenever a variable has a coefficient you don't want, you can make that be 1 by multiplying the equation by the inverse of the coefficient. This is the same as dividing by the coefficient. This makes use of the fact that for any non-zero 'a', the ratio a/a has a value of 1. Anything multiplied by 1 is unchanged.
V = ah ⇒ V/a = (ah)/a = h(a/a) = h·1 = h
Note that we multiply the whole equation (both sides of the equal sign) by 1/a. The basic rule of equality is that you can do whatever you like to an equation, as long as you do it to both sides.
Point V is on line segment UW. Given VW = 5x - 4, UV = 2x, and UW = 5x, determine the numerical length of VW
Answers
Answer:
VW = 6
Step-by-step explanation:
To find x, set up the following equation:
(5x - 4) + (2x) = 5x
Solve out left side
7x - 4 = 5x
Subtract 5x from both sides
2x - 4 = 0
Add 4 to both sides
2x = 4
Divide both sides by 2
x = 2
Plug into 5x - 4
5(2) - 4
10 - 4
6
Answer:
6
Step-by-step explanation:
5x - 4 + 2x = 5x
7x - 4 = 5x
-4 = -2x
2 = x
5(2) - 4
10 - 4
6
Please help i will give brainly
Answers
Answer:
147/20,7+2/5,7.407,7.41.
Step-by-step explanation:
147/20=7.35.
7+2/5=7.4.
7.407>7.4.
7.41>7.407.
Side note:
I changed everything into decimal form.
A 45° angle is complementary to angle x. Which of the following equations represents this situation?
Answers
Step-by-step explanation:
A 45° angle is complementary to angle
45°+x°=90°
I hope it helped U
stay safe stay happy
7/9+6/8+6/3=
I really need the answer
Answers
Answer:
[tex]\frac{1}{30}[/tex]
Step-by-step explanation:
Take it in steps. First, find 7/9+6. Then we'll find 8+6/3, and, finally, we'll divide the two answers.
1:
7/9+6 = 7/15
2:
8+6/3 = 14/3
3:
[tex]\frac{\frac{7}{15}}{\frac{14}{3}}[/tex] or [tex]\frac{7/15}{14/3}[/tex]
Then take that in chunks: 7/14 and 15/3.
7/14 = 1/2
15/3 = 5/1
Use those to rewrite it as [tex]\frac{1/5}{2/3}[/tex].
1/5 = .2
2/3 ≈ .6667 so we'll keep writing it as 2/3
[tex]\frac{\frac{.2}{2}}{3}[/tex]
.2/2 = .1, so:
[tex]\frac{.1}{3}[/tex] = [tex]\frac{1}{30}[/tex]
What is the solution set to the following equation?
Answers
Answer:
3,6
Step-by-step explanation:
A one day visit to Dollywood in Tennessee’s Smoky Mountains cost $56 for an adult and $45 for a child. Find the cost admission for two adults and four children.
a.) $101
b.) $112
c.) $292
d.) $314
Answers
Answer:
$56×2=$112 and $45×4=$180 so $112+$180= $291
write the additive inverse of rational number -11/5
Answers
Answer:
Additive inverse of -11/5 => + 11/5
hope that helps uh..☺
Answer:
If " a " represent any rational number then " a + ( - a ) = 0" or " ( - a ) + a = 0 ". Thus " a " and " - a " are additive inverse of each other. Hence " 11 / 5 " is the additive inverse of " - 11 / 5 " .
Step-by-step explanation:
Help meeee pleaseeee
Answers
Answer:
Hello I'm sorry but I have a question and I have to give ans and I can ask my question
Find x- and y- intercepts given the following representation
Answers
Step-by-step explanation:
x intercept is 1
y intercept is 2
Hope it helps
Find all the factors of 21.
Order the factors from least to greatest.
[?] [] [] []
Enter the number that
belongs in the green box.
hs
The number 21 has 4 factors.
Answers
1, 3, 7 and 21
Step-by-step explanation:
Factors are numbers that can be divisible of a larger number without having remainder
Factors of 21: 1, 3, 7 and 21
Let f(x)=x^3+3 and g(x) = 2x^2 + 2x +1. What is g(f(-2))?
Answers
Answer:
41
Step-by-step explanation:
This composite function can be easily solved
First solve f(-2)
f(-2)=(-2)³+3
f(-2)=-8+3=-5
Now plug -5 for x in function g(x)
=2(-5)²+2(-5)+1
=50-10+1
=41
9514 1404 393
Answer:
41
Step-by-step explanation:
g(f(-2)) = g((-2)³ +3) = g(-8+3) = g(-5)
= 2(-5)² +2(-5) +1 = 50 -10 +1
g(f(-2)) = 41
11,632 rounded to the nearest thousand
Answers
Answer:
12000
Step-by-step explanation:
Check the hundreds digit if greater Han 5 increase the thousands digit by 1 and change the other digits to 0
Answer:
that is what I got as my answer
What is the area of a square whose
diagonal is 14cm
Answers
Answer:
98 [tex]cm^{2}[/tex]
Step-by-step explanation:
The formula for the area of a square when given the diagonal is:
A = [tex]\frac{1}{2}[/tex] [tex]d^{2}[/tex] Where d is the value of the diagonal so it becomes:
0.5 × 14 × 14
This is equal to 98 [tex]cm^{2}[/tex].
HOPE THIS HELPED
Is the function given by f(x)=3x-2 continuous at x=5?
Answers
Answer:
Yes the function is continuous f(5) = 13
Step-by-step explanation:
Replace the variable x with 5 in the expression
Simlify the results
f(5) = 3(5)-3
f(5) = 15=3
f(5) = 13
Plotting on a graph gives a coninous line with a positive gradient
y intercept (0,-2)
Please view the attached graph