Answer:
When you perform translations, you slide a figure left or right, up or down. This means that on the coordinate plane, the coordinates for the vertices of the figure will change.
To graph a translation, perform the same change for each point.
You can identify a reflection by the changes in its coordinates. In a reflection, the figure flips across a line to make a mirror image of itself. Take a look at the reflection below.
Figures are usually reflected across either the
x−
or the
y−
axis. In this case, the figure is reflected across the
y−
axis. If you compare the figures in the first example vertex by vertex, you see that the
x−
coordinates change but the
y−
coordinates stay the same. This is because the reflection happens from left to right across the
y−
axis. When you reflect across the
x−
axis, the
y−
coordinates change and the
x−
coordinates stay the same. Take a look at this example.
In the figure above the coordinates for the upper-left vertex of the original figure are (-5, 5). After you reflect it across the
x−
axis, the coordinates for the corresponding vertex are (-5, -5). How about the lower-right vertex? It starts out at (-1, 1), and after the flip it is at (-1, -1). As you can see, the
x−
coordinates stay the same while the
y−
coordinates change. In fact, the
y−
coordinates all become the opposite integers of the original
y−
coordinates. This indicates that this is a vertical (up/down) reflection or a reflection over the
x−
axis.
In a horizontal (left/right) reflection or a reflection over the
y−
axis, the
x−
coordinates would become integer opposites. Let’s look at an example.
This is a reflection across the
y−
axis. Compare the points. Notice that the
y−
coordinates stay the same. The
x−
coordinates become the integer opposites of the original
x−
coordinates. Look at the top point of the triangle, for example. The coordinates of the original point are (-4, 6), and the coordinates of the new point are (4, 6). The
x−
coordinate has switched from -4 to 4.
You can recognize reflections by these changes to the
x−
and
y−
coordinates. If you reflect across the
x−
axis, the
y−
coordinates will become opposite. If you reflect across the
y−
axis, the
x−
coordinates will become opposite.
You can also use this information to graph reflections. To graph a reflection, you need to decide whether the reflection will be across the
x−
axis or the
y−
axis, and then change either the
x−
or
y−
coordinates.
The new coordinates form an equation with the original coordinate and the units of translation.
What is Transformation?Transformation is changing the graph to a new one by Rotation, Reflection, Translation, and Dilation.
Rotation is a type of transformation of an object on an x-y plane, when an object is turned clockwise or anticlockwise by a certain angle, the object is said to be rotated.
The coordinate (x,y) changes to ( y, -x).
Reflection is to create a mirror image of the coordinate or the figure.
Dilation is to compress or enlarge the image by a scale factor.
The translation is to shift the coordinate or the figure, to the left, right, up, or down.
Let the original coordinates be ( x, y)
Then if the coordinates are translated by 2 units to the right and 2 units up, the new coordinates are:
( x+2, y+2)
The new coordinates are = Original coordinates ± Translation units.
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B is the midpoint of AC. If AB = x+5 and BC = 2x-11 , find the measure of AB .
Answer: AB = 21
Step-by-step explanation:
Find the value of x by setting them equal to each other
x + 5 = 2x - 11
solve like a normal two step equation
x = 16
what type of angle is mabc=170
Answer:
obtuse (anything above 90* is obtuse)
Step-by-step explanation:
what type of number is 0.212121
NEED HELP ASAP | 25+ POINTS | IM BEGGING PLZ HELP | I NEED HELP NOW!!
The perimeter of a rectangle is 88 ft. Its length is 16 ft more than the width. Find the dimensions of the rectangle
GOD BLESS!! THANK U SO MUCH
Answer:
14 ft and 30 ftStep-by-step explanation:
Perimeter is
P = 2(l+w), where l= length, w = width
P = 88l = w + 16Substitute values to find the value of w:
88 = 2(w + 16 + w)2w + 16 = 442w = 28w = 14Then
l = 14 + 16 = 30Dimensions are 14 ft and 30 ft
Answer:
Perimeter is the sum of all sides added together.
Variables:
P=88
L=W+16
W=?
Equation:
88=2*(W+16+W)
Write with units:
L=30 ft.
W= 14ft.
Step-by-step explanation:
88=2*(W+16+W)
divide both sides by 2
44=W+16+W (This is one width and one length)
combine like terms
44=2W+16
subtract 16 from both sides
28=2W
divide both sides by 2
14=W
Your width is 14
Your length is 16 more than your width.
14+16=L
30=L
need help for all of them if you can help thank you! i bummed the points up a little
Answer:
Number 1 Is elsa. Norwegian Fjord horse is for the breed of horse!
Step-by-step explanation:
9. AMUSEMENT PARKS Nick goes to the amusement park to ride roller coasters, bumper
cars, and water slides. The wait for the roller coasters is 1 hour, the wait for the
bumper cars is 20 minutes long, and the wait for the water slides is only 15 minutes
long. Nick rode 10 total rides during his visit. Because he enjoys roller coasters the
most, the number of times he rode the roller coasters was the sum of the times he rode
the other two rides. If Nick waited in line for a total of 6 hours and 20 minutes, how
many of each ride did he go on?
Answer:
he rode the roller coaster 4 times the bumper cars 3 times and the water slide 4 hoped i helped
Step-by-step explanation:
The question is an illustration of a system of simultaneous equation
He rode the roller coaster 5 times; bumper cars 1 time and water slides 4 times.
Let:
[tex]b \to[/tex] bumper cars
[tex]r \to[/tex] roller coaster
[tex]w \to[/tex] water slides
He rode 10 total rides.
So:
[tex]b + r + w = 10[/tex]
The equation for the times he waited is:
[tex]r + \frac{20}{60}b + \frac{15}{60}w = 6\frac{20}{60}[/tex]
Simplify fraction
[tex]r + \frac b3 + \frac w4 = 6\frac 13[/tex]
The proportion of rides is:
[tex]r =b + w[/tex]
Substitute [tex]r =b + w[/tex] in [tex]b + r + w = 10[/tex] and [tex]r + \frac b3 + \frac w4 = 6\frac 13[/tex]
[tex]b + b + w + w = 10[/tex]
[tex]2b + 2w = 10[/tex]
Divide through by 2
[tex]b + w = 5[/tex]
Similarly
[tex]r + \frac b3 + \frac w4 = 6\frac 13[/tex]
[tex]b + w + \frac b3 + \frac w4 = \frac{19}3[/tex]
Multiply through by 12
[tex]12b + 12w + 4b + 3w = 4 \times 19[/tex]
[tex]16b + 15w = 76[/tex]
Make b the subject in [tex]b + w = 5[/tex]
[tex]b = 5 -w[/tex]
Substitute [tex]b = 5 -w \\[/tex] in [tex]16b + 15w = 76[/tex]
[tex]16(5 -w) + 15w = 76[/tex]
[tex]80 -16w + 15w = 76[/tex]
Collect like terms
[tex]-w = 76 - 80[/tex]
[tex]-w = -4[/tex]
[tex]w = 4[/tex]
Recall that:
[tex]b = 5 -w[/tex]
[tex]b = 5 - 1[/tex]
[tex]b =4[/tex]
Recall that:
[tex]r =b + w[/tex]
[tex]r = 1 + 4[/tex]
[tex]r = 5[/tex]
Hence, he rode the roller coaster 5 times; bumper cars 1 time and water slides 4 times.
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prove a/sina=b/sinb=c/sinc =2r
Answer:
Step-by-step explanation:
1/5 of 55
It’s confusing me so can someone help me please??
Answer:
1/5 of 55 is 11
Step-by-step explanation:
(1/5) * 55 = 11
Given f (x) = 3x + 4, find f (2).
[tex]f(2) = 3 \cdot 2 + 4 = 6 + 4 = 10[/tex]
The required solution is 10.
It is required to find the solution.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The given function is
f(x) = 3x + 4
Put the value of x= 2 in the function we get,
f(2)=3(2)+4
f(2) = 6+4
f(2) = 10
Therefore, the required solution is 10.
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How do u solve b=f^2 A+ 2H A awnser for A
Answer:
Step-by-step explanation:
The easiest way to do this is to use the distributive property.
Put the brackets around the terms on the right.
b = (f^2 * A + 2HA)
A is a common factor on the right.
b = A * (f^2 + 2H)
Now divide by f^2 + 2H
b/(f^2 + 2H) = A
Determine the surface area of a rectangular prism with the following dimensions:
Length = 4 cm, Width = 2 cm, Height = 3
A.52 sq. cm
D.20 sq.cm
d. 290 sq. cm
B.104 sq.cm
Answer:
A. 52 sq. cmStep-by-step explanation:
surface area of a rectangular prism = 2(LW + WH + LH)
where
L = 4cm
W = 2cm
H = 3cm
plugin values into the formula:
As = 2(4*2 + 2*3 + 4*3)
As = 52 sq. cm
Answer:
A.52 sq. cm
Step-by-step explanation:
Given: l = 4 cm, w = 2 cm, h = 3 cm
Surface area of a rectangular prism
=2(l*w + w*h+h*l)
= 2(4*2 + 2*3 + 3*4)
= 2(8 + 6 + 12)
= 2*26
= 52 sq. cm
A total of 82,000 is being invested in a local bank. The amount invested in stocks is one third of the amount invested in bonds. How much is invested in bonds?
(A) 11,000
(B) 14,000
(C) 27,000
(D) 41,500
(E) 61,500
What part of 15 is 3
The fifth part of 15 is 3.
Here,
We have to find which part of 15 is 3.
What is nth time?
The nth time used when you are starting that something is the last in a long series.
Now,
Since, 15 ÷ 5 = 3
Hence, we can say that the fifth part of 15 is 3.
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2/5 times -6/5 I need a answerrrr!!
Answer:
NEGATIVE 12/25
Step-by-step explanation:
To multiply fractions, you have to
1. Simplify to like and lowest terms
2. Multiply the numerators to get the new numerator
3. Multiply the denominators to get the new denominator
2 x (-6) = -12
5 x (-5) = -25
I hope this helps and please give brainliest
Evaluate the following: 2a + 5if a=2, b=1, c=3.
Answer:
9
Step-by-step explanation:
a=2
b=1
c=3
There is no b or c meaning that they are eliminated.
2a + 5
Plug the a=2 into the equation
2x2 + 5
2x2 = 4
4 + 5 = 9
Find The Perimeter please asap
Answer:
44
Step-by-step explanation:
Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and (–12, –9). He writes the equation 7x – 10y = 3. Is this a good model? Explain your reasoning .
Step-by-step explanation:
Points are (8,5) and (-12,-9)
The equation of a line passing through two points is given by :
[tex]y-y_1=m(x-x_1)\ \text{m is slope}\\\\y-5=\dfrac{y_2-y_1}{x_2-x_1}(x-8)\\\\y-5=\dfrac{-9-5}{-12-8}\times (x-8)\\\\y-5=\dfrac{7}{10}\times (x-8)\\\\10y-50=7x-56[/tex]
or
[tex]-50+56=7x-10y\\\\7x-10y=6[/tex]
But he writes the equation 7x – 10y = 3 which is not matching with the one we have calculated. It means that model calculated by Devon is not good.
Answer:
If the model is good, then both points will check in the equation. Substituting 8 for x and 5 for y in the equation results in 56 – 50 = 3, which is not true. Therefore, the model is not good. Using (–12, –9) as a check results in –84 + 90 = 3. The constant value in the equation should be 6, not 3. In slope-intercept form, the y-intercept should be –3/5.
Step-by-step explanation:
i got this answer from edg
5 1/4 minus 2 5/7 pls help
Answer: 7 15\28
Step-by-step explanation:
Fifteen increased by a number b
Answer: 15 + b
Step-by-step explanation:
15 is being increased by b and b could be any number so the expression will be 15 + b . Increase means is going up so you will be adding b.
Which perfect square lies between 225 and 289
Answer:
256
Step-by-step explanation:
256 is 16 squared.
225 is 15 and 289 is 17.
Answer:
[tex] {16}^{2} = 256[/tex]
Step-by-step explanation:
hope this help
Please help fast show work!
Answer:
Step-by-step explanation:
3x + 2 = -6x + 10
9x + 2 = 10
9x = 8
x = 8/9
An item costs 12 cents to manufacture. The item sells for 25 cents. What is the profit, in dollars, of selling 125 items?
$15.00
$16.25
$31.25
$46.25
$1,750
Answer:$16.25
Step-by-step explanation:You subtract 25-12 and get 13 then you multiply 125 to that 13 and get $16.25
At a track meet, a girl runs 52 meters in 8 seconds. What’s the unit rate?
Answer:
52/8 meters per second or 6.5 meters per second
If this helped please mark me as the brainliest !
m=52
sec=8
52÷8
=6.5m\s
Which of the following is an irrational number?
√ 87
- √ 16
- √ 64
√ 200
Answer:
√87 and √200
Step-by-step explanation: If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end (non-terminating) and does not repeat a pattern (non-repeating).
Bill and his r friends each sold the same number of tickets. They sold 72 tickets altogether. How many tickets did each person sell?
Answer:
Each person sold 72/(r+1) tickets
Step-by-step explanation:
Bill plus his r friends = r+1 people
Divide the number of tickets by the number of people to determine the number of tickets sold per person
Divide the 72 tickets by ( r+1)
Each person sold 72/(r+1) tickets
Evelyn borrowed $180,000 to buy a home. The bank is charging an interest rate of 7.5% over a period of 30 years. How much will Evelyn pay in interest? What is the total amount she will pay at the end of the loan?
Answer:
the amount of interest = 405 000
the amount she has to pay = 405 000 + 180000 = 585 000
Step-by-step explanation:
We make use the simple interest formula
PRT/100
P is the principle
R is the rate
T is the time
180 000 * 7.5 * 30
= 40 500 000 / 100
= 405 000
the amount of interest = 405 000
the amount she has to pay = 405 000 + 180000 = 585 000
PLZZZ HELP ME!! Solve for x Simplify your answer as much as possible
Answer:
x=14
Step-by-step explanation:
1.) Add 11 to both sides
2.) divide both sides by 3
The equation 9+3a-4-=?a+20-15 has infinitely many solutions. What value should be placed in the box?
Answer:
9 + 3a -4 - = a +20-15
3a - a = 20 -15+4-9
2a = 24 - 24
2a = 0
Please help ASAP I need it done quick
Answer:
see below
Step-by-step explanation:
bh + hr = 25
Factor out an h
h( b+r) = 25
Divide each side by ( b+r)
h( b+r)/( b+r) = 25/( b+r)
h = 25/( b+r)
Now solve for r
bh + hr = 25
Subtract bh from each side
bh -bh+ hr = 25-bh
hr = 25 -bh
Divide by h
hr/h = 25/h -bh/h
r = 25/h -b
3. What word phrase can you use to represent the following algebraic expression: 7x + 4?
A number x times the sum of seven and four
b. The sum of seven times a number x and four
С. Seven times the sum of a number x and four
d. Four times the sum of a number x and seven
