Triangle ABC will be dilated according to the rule
[tex]D_{F, 0.25} (x,y)[/tex], where point F is the center of dilation.
What will be the coordinates of vertex A' of the image?
a. (-8,-4)
b. (-2,-1)
c. (0, 0)
d. (1, 0)
The answer is (1,0), but could someone explain how you get it, please?
![Triangle ABC Will Be Dilated According To The Rule[tex]D_{F, 0.25} (x,y)[/tex], Where Point F Is The](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/xEGRAX2eUXMiqbQWmxohZ3GE47jZBLkw.png)
Answers
Usually dilations have a center of dilation at the origin (0,0). When this occurs all we need to do is multiply each coordinate by the dilation scale. Unfortunately things get a little more complicated when the center of dilation is not at the origin.
In this case the center of dilation is located at F: (3,1)
The first step we must take is to find how many units point F is from vertex A.
In this case, F is 4 unit up and 8 units right of vertex A. (Reference the first image below to see how I found this)
Now we must multiply these dimensions (4 units and 8 units) by the factor of dilation (0.25)
4 * 0.25 = 1
8 * 0.25 = 2
This shows us how many dimensions away point [tex]A^{1}[/tex] is from point F:
1 unit vertically
2 units horizontally
Now how do we know if [tex]A^{1}[/tex] is above or below, left or right from point F? Easy! There has been no translations so the directions will be the same as the original:
Point F: (3, 1) ---> (3-2, 1-1) ---> (1, 0)
Reference the second image to see this
Hopefully this helps and makes sense. Let me know if you need further explanation or clarification.
~Just a girl in love with Shawn Mendes
![Triangle ABC Will Be Dilated According To The Rule[tex]D_{F, 0.25} (x,y)[/tex], Where Point F Is The](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/rYuLDjxgb49fyAWikoYcM2MD9VTwb0Q8.jpeg)
![Triangle ABC Will Be Dilated According To The Rule[tex]D_{F, 0.25} (x,y)[/tex], Where Point F Is The](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/4zSFk4KVapEwPwbfVKRrTdzOrvV4b7Ht.jpeg)
Answer:
D 1,0
Step-by-step explanation:
credit to the one up above
Related Questions
A container of coffee is 1/6 full. The container contains 2/3 a pound of coffee. a. Write a division expression that represents the capacity of the container. b.Write a multiplication expression that represents the capacity of the container. c.Find the capacity of the container.
Answers
Answer:
(a) [tex]x= \frac 2 3\div \frac 1 6[/tex]
(b) [tex]x= \frac 2 3\times \frac 6 1[/tex]
(c) 4 pounds
Step-by-step explanation:
Let the capacity of the container is [tex]x[/tex].
The container has coffee which is 1/6 of the capacity of the container and the amount of coffee is 2/3 pounds.
So, 1/6 of the capacity of the container has 2/3 pound of coffee, i.e
[tex]\frac 1 6 \times x = \frac 2 3\cdots(i)[/tex]
(a) From the equation (i), the required division expression for the capacity of the box, x, is
[tex]x= \frac 2 3\div \frac 1 6[/tex]
(b) The division expression can be changed to multiplication expression by interchanging the numerator and the denominator of the divisor. So, from part (a), the required multiplication expression for the capacity of the box, x, is
[tex]x= \frac 2 3\times \frac 6 1\cdots(ii)[/tex]
(c) From equation (ii), the capacity of the box is
[tex]x= \frac 2 3\times 6= 4[/tex] pounds.
Which is the graph of the equation y-1=2/3(x-3)?
Answers
Answer:
The second graph ( one with the coordinates (3,1) and (6,3))
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
y = bx(x - a)(x-a)(x + b)(x - b)
In the equation above, a and b are positive
constants and a ≠ b. How many distinct x-intercepts
does the graph of the equation in the xy-plane have?
Answers
The x-intercepts of an equation are simply the zeros of the equation
The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts
The equation is given as:
[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]
Set the equation to 0; i.e. calculate the zeros
[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Divide both sides by constant b
[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Split the above equation, as follows
[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]
Solve for x in each of the equation
[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
Remove repeated solutions
[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
The count of solutions above is 4
Hence, the equation has 4 distinct x-intercepts
Read more about x-intercepts at:
https://brainly.com/question/3951754
will you guys help me with anything i need?
(don't listen about the subject for now i just need to know)
Answers
Answer:
Ummm yeah , i'm literally a nice person and a good listener .
Step-by-step explanation:
Can i pls have brainly ? <3
Answer:
yes
Step-by-step explanation:
hjoyybhfddsjjsjajajdhvdbenwkwq
PLEASE ANSWER FAST.
The question is in the picture.
(question 24)
Answers
Answer:
As the values of x increase both function decrease in value.
Step-by-step explanation:
Need help with 5-8 with working out will be marking brainliest
Answers
Answer:
hope to have helped you:)
The area of a rectangular painting is 5734cm^2
If the length of the painting is 94cm , what is its width?
Answers
Answer: 61cm
Step-by-step explanation:
So to work out this question you do 5734÷94 which would work out the with which is 61
61×94=5734
7
Pls answer I’m to tired for this
What is the midpoint
between (-2, -3) and
(1, 2)?
a) (-1,-)
b) (-:-)
c) (-1,-)
d) (-3,-)
Answers
Answer:
I think it's B
...........
Answer:
d
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (1, [tex]\frac{1}{2}[/tex] ), thus
midpoint = ( [tex]\frac{-2+1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) = ( [tex]\frac{-1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], [tex]\frac{-\frac{5}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], - [tex]\frac{5}{4}[/tex] ) → d
What is the equation of the line described below written in slope-intercept form? the line passing through point (2,4), parallel to the line whose equation is y = x
A. y=x + 2
B. y = -x + 2
C. y=-X
Answers
Answer:
y = x + 2
Step-by-step explanation:
4.2.32
Richard and Teo have a combined age of 41. Richard is 5 years older than twice Teo's age. How old are Richard and Teo?
Richard is years did, and Teo is years old.
Type whole numbers.)
Answers
Answer:
Step-by-step explanation:
Let R = Richard, T = Teo.
Richard and Teo have a combined age of 41. This means that if you add their ages together you get 41:
R + T = 41
We are also told Richard is 5 years older than twice Teo's age:
R = 2T + 5
You can substitute " R " into R + T = 41
R + T = 41
2T + 5 + T = 41
3T + 5 = 41
Subtract 5 from both sides
3T = 41 - 5
3T = 36
Divide both sides by 3 to find T.
T = 36/3 = 12
We know that R + T = 41, so
R = 41 - T
R = 41 - 12
R = 29
Answer:
Richard is 29 and Teo is 12
Step-by-step explanation:
let Teo's age be n then Richard is 2n + 5 ( 5 more than twice Teo's age )
Thus their combined ages are
n + 2n + 5 = 41 , that is
3n + 5 = 41 ( subtract 5 from both sides )
3n = 36 ( divide both sides by 3 )
n = 12
Then
Teo is 12 years old and Richard is 2(12) + 5 = 24 + 5 = 29 years old
In which quadrant does the terminal side of your angle lie if sec theta < o and cot theta < o ?
Answers
Answer:
The endpoint of an angle
x
lies in the 4th quadrant. Here is why.
First of all, let's recall a few definitions.
Recall the definition of a trigonometric function
sec
(
x
)
:
sec
(
x
)
=
(by definition)
=
1
cos
(
x
)
Recall the definition of a trigonometric function
cot
(
x
)
:
cot
(
x
)
=
(by definition)
=
cos
(
x
)
sin
(
x
)
Step-by-step explanation:
jhyjyujtyuyju
Determine which product has the lower unit price a 16- ounce bag of chocolate for $1.99 or B an 18- ounce bag of chocolates for $2.29
Answers
Step-by-step explanation:
Just divide 16 and 1.99 and 18 and 2.29 and choose the one with less value
Help!
Which solution(s) are correct?
Answers
Answer: D. Matthew’s, Rhoda’s, and Ming’s
Step-by-step explanation:
√0.89 ≈ 0.94
Anyah is incorrect because both of her decimals are smaller than √0.89.
Matthew is correct because 0 is less than 0.89 but 1 is still greater than 0.89.
Rhoda is correct because 0.9² is 0.81 is less than 0.89 but 1.0² is 1 which is still greater than 0.89.
Ming is correct because 0.93² is about 0.87 which is less than 0.89 but 0.95² is about 0.9 which is still greater than 0.89.
I hope this helps!
What are two different ways of saying "find the
solution"?
Answers
Answer:
find the difference. find the sum
Step-by-step explanation:
I don't understand this at all. Can you help me solve this please :)
Answers
Answer:
y = -1/2x +3
Step-by-step explanation:
basically all you have to do is change the y intercept, but keep the slope the same and you create a parallel line
A submarine dives below the surface, heading downward in four moves. If each move downward was 235
feet, where is the submarine after it is finished diving?
The submarine would be
feet below sea level, or
feet.
Answers
Answer:
Step-by-step explanation:
It drops 235 feet per move.
235 * 4 = 1140 feet below sea level.
-1140 is also possible.
The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service Which equation can be used to determine c, the monthly charge based upon the number of minutes (m) of service each month. C = 25m + 0.05 c = 25m + 0.05 c = 0.05m + 20 c = 0.05m + 20 c = 25m + 0.05 c = 25m + 0.05 m = 0.05c + 30
Answers
Answer:
c= 25+0.05m
Step-by-step explanation:
Given that,
The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service.
$25 is fixed here and charge $0.05 for each minute of service.
We need to find the equation that can be used to find the monthly charge based upon the number of minutes (m) of service each month.
c= 25+0.05m
Hence, this is the required equation.
Which one?
A. B. C. Or D?
Answers
Answer:
Answer is C
Step-by-step explanation:
have a nice day!!
~ jassy
Answer:
The answer would be c
Step-by-step explanation:
a= 18 in.
C = 82 in.
What is the length of b?
Answers
Answer:
B should equal 80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Use Pythagorean theorem so 18^2 +b^2 =82^2 which is 324 +b^2=6724 then subtract 324 on both sides then square root which is 80
How many gallons of water are in a 2 gallon pitcher that is 3/4 full?
Answers
Answer:
1.5 gallons
Step-by-step explanation:
2 x 0.75
1.5 gallons
Brainliest appreciated!
Answer:
1.5 gallons
Step-by-step explanation:
1/4 of container would be 0.5 gallons, so 3/4 of the container is 1.5 gallons. Multiply 0.5 times 3.
Please answer real quick
Answers
Answer:
use symbolab
Step-by-step explanation:
Pleasssssse help meeeeee
Answers
Answer: [tex]x \geq 3[/tex]
The graph has a closed circle pointing to the right
Express the following number as a decimal:
2 x 10^-6
Answers
Answer:
0.000002
Step-by-step explanation:
2* 10^-6
is the same as
2 * 0.000001
which is
0.000002
Answer:
The answer is: 0.000002
Step-by-step explanation:
Have a great day!
Geometry Question: Image is provided below.
Please show all work and your steps.
25 points
Answers
We can simplify that into 18x + 54 = 180
Now we take away 54 from both sides to get 18x = 126
Now divide both sides by 18 and we get
x = 7.
Now that we know that x = 7 we know that the 10x + 54 angle is equal to 124 by substituting the value of x in. We also know that 11y + 14 must equal to 124 because of vertically opposite angles. So we have 11y + 14 = 124.
Take away 14 from both sides; 11y = 110
Now divide both sides by 11 and we get
y = 10
So x = 7 and y = 10
I hope that you understood all of my steps and if this did help you a Brainliest would be very appreciated :)
Answer:
x=7
y=10
Step-by-step explanation:
8x and 11y+14 are same side interior angles so they add to 180 degrees
11y+14 and 10x+54 are vertical angles so they are equal
8x + 11y+14 = 180
11y+ 14 = 10x+54
Substitute 10x+54 for 11y+14 in the first equation
8x +10x+54 = 180
Combine like terms
18x+54 =180
Subtract 54
18x+54-54=180-54
18x =126
Divide by 18
18x/18 = 126/18
x=7
Now we can find y
11y+ 14 = 10x+54
11y + 14 = 10*7+54
11y+14 = 70+54
11y+14 =124
Subtract 14 from each side
11y = 124-14
11y =110
Divide by 11
11y/11=110/11
y =10
what a number named as a googolplexian might be ?
Answers
Answer:
A 1 with a hundred 0's following it
Step-by-step explanation:
What is a good problem to use for an inequality equation? using ax + b > c. Including the solution.
Answers
Answer:
A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.Step-by-step explanation:
Answer:
the person above me is correct
Shark boi U~U
Fifty eighth graders attend a
charter school. If 1/10 are
home with the flu and 2/3 of
the remaining students are
on a field trip, how many are
in school?
Answers
Answer:
15
Step-by-step explanation:
1/10 of 50 is 5, so remove that.
2/3 of 45 is 30, so remove that too.
therefore, 15 kids are in school
hope this helps!! <3
If John drove 210 miles in 3 hours, how far will he have
driven in 4.5 hours?
Answers
Answer:
3hours and 15 mins
Step-by-step explanation:
210 divied by 3=70
70=per hour
4 hours=280
70 divied by 2= 35
.5=35
280+35=315
315 miles in 4.5 hours
Questions 1-5. Bryan invests $500 in an account earning 4% interest that compounds annually. If he makes no additional deposits or withdrawals, how much will be in the account:
After 15 years?
(round to the hundredths place
Answers
Answer:
608.33
Step-by-step explanation:
Select all the true statements. Group of answer choices The ratio of triangles to squares is 2 to 4. The ratio of squares to smiley faces is 6:4. The ratio of smiley faces to triangles is 6 to 4. There are two squares for every triangle. There are two triangles for every smiley face. There are three smiley faces for every triangle.
Answers
Answer:
The ratio of triangles to squares is 2 to 4
There are two squares for every triangle.
There are three smiley faces for every triangle.
Step-by-step explanation:
The number of triangles, smiley and squares are shown in the diagram attached.
From the diagram, there are 6 smiley faces, 2 triangles and 4 squares.
A ratio compare two or more values, thereby showing how many times one number contains the other.
A) Correct. The ratio of triangles to squares = number of triangle / number of square = 2 / 4 = 2 to 4
B) Incorrect. The ratio of squares to smiley faces = number of square / number of smiley face = 4 / 6 = 4 to 6
C) Incorrect. The ratio of smiley faces to triangles = number of smiley faces / number of triangles = 6 / 2 = 6 to 2
D) Correct. Since the ratio of squares to triangles = number of squares / number of triangle = 4 / 2 = 2 / 1 = 2 to 1, hence there are two squares for every triangle
E) Incorrect. Since the ratio of triangles to smiley faces = number of triangle / number of smiley faces = 2 / 6 = 1 / 3 = 1 to 3, hence there is one triangle for every 3 smiley faces
F) Correct. Since the ratio of smiley faces to triangles = number of smiley faces / number of triangles = 6 / 2 = 3 / 1 = 3 to 1, hence there is 3 smiley faces for every one triangle