The green triangle is a dilation of the red triangle with a scale factor of s=13 and the center of dilation is at the point (4,2)
What are the coordinates of Point C'? C'(___,____)
What are the coordinates of Point A? A(____,_____)
Answers:
C ' (2, 5)A (16, 8)================================================================
Explanation:
I'm assuming you mean to say "scale factor of s = 1/3" since the green triangle is smaller than the red triangle.
Let's start at the point (4,2). This is the center of dilation. This fixed point does not move or change as you apply any dilation (as long as you keep this as the center of course). Every other point will move. For instance, the point (10,14) moves to (6,6) after applying the dilation.
----------------------
The x coordinate of the center point (4,2) is x = 4.
The x coordinate of the point (10,14) is x = 10.
Going from (4,2) to (10,14) will have us move a horizontal distance of 10-4 = 6 units.
Take 1/3 of this horizontal distance and we get (1/3)*6 = 2. This means that if we started at the center point (4,2) and move 2 units to the right, we will have the x coordinate to be x = 4+2 = 6, which matches up with the x coordinate of the point (6,6)
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We'll do the same sort of thing with the y coordinates
The point (4,2) has the y coordinate y = 2
The point (10,14) has the y coordinate y = 14
The vertical distance between those points is 14-2 = 12 units
One third of this is (1/3)*12 = 4
If we started at (4,2) and moved up 4 units, then the y coordinate goes from y = 2 to y = 2+4 = 6. This also matches (6,6)
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Hopefully by now you have a sense of how this all works. Let's use these tricks to find the location of point A.
The horizontal distance from (4,2) to (8,4) is 8-4 = 4 units. This triples to 4*3 = 12 units. We triple here because we're going in reverse of the process described in the previous two sections. If (8,4) and A swapped places, then we would take one third instead.
We'll use that 12 to count out 12 horizontal spaces from (4,2) to get to (16,2). I added 12 to the x coordinate of (4,2).
Repeat the process for the y values. The vertical distance from (4,2) to (8,4) is 2 units, which triples to 6. Add 6 onto the y coordinate of (16,2) and we arrive at (16, 8) which is the location of point A.
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Now let's find the location of point C'
The horizontal distance from (-2,11) to (4,2) is 6 units because |-2-4| = 6. Multiply this by 1/3 and we get (1/3)*6 = 2
To get to the location point C', we need to start at (4,2) and move to the left 2 units. That means (4,2) will move to (2,2) as a temporary location.
We apply the same idea for the y coordinates. The vertical distance from (4,2) to (-2,11) is 9 units. This leads to (1/3)*9 = 3 units being the vertical distance from (4,2) to the location of C'. We'll add 3 to the y coordinate of (2,2) to arrive at (2,5) which is the location of C'.
An arithmetic sequence has a 2nd term equal to 3 and 10th term equal to -13.
Find the term of the sequence that has value -93. please answer asap.
Answer:
50th term
Step-by-step explanation:
Second term, a + d = 3
Tenth term, a + 9d = -13
a + d = 3 (1)
a + 9d = -13 (2)
Subtract (1) from (2) to eliminate a
9d - d = -13 - 3
8d = -16
d = -16/8
d = -2
Substitute d = -2 into (1)
a + d = 3 (1)
a + (-2) = 3
a - 2 = 3
a = 3 + 2
a = 5
Find the term of the sequence that has value -93.
nth term = a + (n -1)d
-93 = 5 + (n - 1) -2
-93 = 5 + (-2n + 2)
-93 = 5 - 2n + 2
-93 = -2n + 7
-93 - 7 = -2n
-100 = -2n
n = -100/-2
n = 50
50th term = -93
Which is the most accurate estimate of27% of 39
¿cuales son las funciones de sunass, osinergmin y osiptel?
Answer:
la verdD no c
Step-by-step explanation:
pero tu pon lo q creas nadie es perfecto
The value of (100%10)*5 is
0
10
50
500
Answer:
50
Step-by-step explanation:
the step
100% * 10 =10 as 100% = 1
then mulitply 10 *5 = 50
How can you tell that (448 + 217 + 34) × 9 is three times as large as (448 + 217 + 34) × 3 without doing complicated calculations?
WIll MARK BRAINLIST IF YALL DO FAKE ANSWER YALL WILL BE REPORTED!!!!!!!!!!!!!!!!!
Answer:
f(7)=-196
Step-by-step explanation:
f(7)=-3(7)^2-7(7)
f(7)=-3(49) -49
f(7)= -147 -49
f(7)=-196: ANSWER
Hope this helps! This is also written in the comment too!
Help me and i will give away 50 points
Answer:
Step-by-step explanation:
if i have all a's and one d what is my gpa
Answer:
Step-by-step explanation:
umm like 2.8 i think
Find the value of sin theta, if tan theta = 4; 180 < theta <270.
a. -4 (square root)17/ 17
b. -4
c. -1/4
d. (square root)7/ 4
Please select the best answer from the choices provided
Ο Α
O B
О С
O D
Answer: You can use the identity THE PICTURE THAT I PUT THERE
The sign is negative because the angle is in the 3rd quadrant. This corresponds to ... a. -(4√17)/17
value of sin ( theta ) = -4 (square root of ) 17 / 17
What are Trigonometry Functions ?
Real functions which relate to an angle of a right angled triangle to ratios of two side length.
Given
tan (theta) = 4`
sin(theta) = tan (theta ) / (1 + tan ^ theta)^(1/2)
sin(theta) = 4/(1+(4)^2)^(1/2)
= 4/ (17)^ (1/2)
multiplying and dividing by 17 ^ (1/2), we get
= -4 (17) ^ (1/2) / 17 ( negative since angle is in third quadrant and tan is negative in that quadrant )
option a) -4 (square root of ) 17 / 17
Learn more about Trigonometry Functions:
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Select the correct answer
A fair, unbiased coin was flipped 10 times, giving the results shown in the table, where Ttails and heads.
What is the difference between the theoretical and experimental probabilities of getting heads?
please help ill mark you the brainlyest!!!!
Answer: The answer is most likely 0.3
Step-by-step explanation:
The difference between the theoretical and experimental probabilities of getting heads is 0.3.
This question is solved using the concepts of theoretical and experimental probabilities.
Theoretical probability: Calculated without considering previous trials. Experimental probability: Calculated considering previous trials.----------------------------
Theoretical probability:
A fair coin means that it is equally as likely to be heads or tails, so 0.5 theoretical probability of getting heads.
----------------------------
Experimental probability:
Out of 10 trials, 2 resulted in heads, so 2/10 = 0.2 experimental probability of getting heads.
----------------------------
Difference:
0.5 - 0.2 = 0.3
The difference between the theoretical and experimental probabilities of getting heads is 0.3.
A similar question is found here: https://brainly.com/question/23995602
Can somebody plz help solve this word problem using a equation or showing a way how u got the answer thx :3
WILL MARK BRAINLIEST WHOEVER ANSWERS THIS FIRST :DD!!
Answer:
598 possibly because you multiply 46 x 13
Which is greater than 4? (a) 5, Which is the smallest? (a) -1, Combine terms: 12a + 26b -4b – 16a. (a) 4a + 22b, Simplify: (4 – 5) – (13 – 18 + 2). (a) -1, What is |-26|? (a) -26, Multiply: (x – 4)(x + 5) (a) x2 + 5x - 20, Factor: 5x2 – 15x – 20. (a) 5(x-4)(x+1), Factor: 3y(x – 3) -2(x – 3).
what is the value of n?
enter answer in box
Answer:
6!
Step-by-step explanation:
chord x chord = chord x chord
(5) (n+8) = (7) (n+4)
i just started plugging in numbers
(5) (6+8) = (7) (6+4)
5 x 14 = 7 x 10
70=70
ill give brainliest!! just please help!!
Answer:
x=4
Other stuff:
Don't if it is incorrect or if it was the answer. the image was blurry.
Given m||n, find the value of x. (4x-9)° (3x+29)°
Answer:
38°
Step-by-step explanation:
4x-9=3x+29 ------- because corresponding angles are equal
x=38°
Which of the following shapes is a convex nonagon?
OA)
OB)
OC)
OD)
It is asking for a convex nonagon, not a convex polygon. So in this case we are looking for a shape with 9 straight lines and 9 angles. Which means we can cross A out.
Now we need to look at which nonagon is a convex nonagon which means that we are looking for the shape having only interior angles measuring less than 180°. So this means that B and D can be crossed out.
Thus, the answer is C.
P.S. If you find my answer helpful, please mark me brainiest!
please help ! quick !
Answer: hi, i can’t see the photo
Step-by-step explanation:
the area of a rectangular lawn is 255 metre square if its length is 15 M find its perimeter
Answer:
Step-by-step explanation:
width is 255/15=17
perimeter = 17*2+15*2=64
EZ
pls help with this question
Answer: first answer choice
Step-by-step explanation:
2/5 times 6 enter the product in simplest form.
Answer:
2 2/5
Step-by-step explanation:
2/5 x 6 = 12/5 = 2 2/5
Hope that helps!
At the end of summer sale, an air conditioner that sold for $310 was discounted for 21%. What was the sale price?
Answer:
The sale price was $244.9.
Step-by-step explanation:
With the information provided, you can calculate the sale price by finding the 21% of the sale price and then, subtracting that amount from the sale price:
$310*21%=$65.1
$310-$65.1=$244.9
According to this, the answer is that the sale price was $244.9.
What is the output for 2(3)+3 ???
input (x) 2x + 3 output
3 2(3) + 3 ???
PLEASEE HELP !! i have to turn it in by 10:20
Answer:
9 & 12
Step-by-step explanation:
For the first box you multiply 2x3 which would give you 6 and then you would add 3 and that would give you 9.
For the second box you would multiply 2x4 which would give you 8 and then you would add 4 and that would give you the final pruduct of 12.
whats a reasonable estimate for 529 divided by 23 ( explain your anwser )
Step-by-step explanation:
First you divide 529 and 23. You can divide 5w9 by 23 in a fraction like this 529/23 on to Desmos scientific calculator or just 529÷23 on a calculator. If it is a decimal, round it up if the tenth, hundredth, or thousandth is 5, 6, 7, 8, 9 or round down if the number is 4, 3, 2, and 1. The answer to 529÷23 is 23. And if you estimate it, it'll be 20. The next part may be a bit confusing but if you estimate 23, you'll get 25.
Then you estimate 529 and 23, you'll get 530 and 20. And if you divide them, you'll get 26.5. And if you estimate that, you'll get 27. So that means is 2 or 7 off from the estimated from the equation 529÷23. So that means the reasonable answer is probably 25 or 27.
Tell me if I'm right or not, and I'm sorry if I'm wrong because I don't know what answer I explained in the two paragraphs I wrote is right or wrong.
HELP ME ASAP!!!!!!!!!!!!!!!
See question attached.
THE CORRECT ANSWER GETS THANKS, A STAR RATING OF EXCELLENT AND BRAINLIEST!!!!!!!!!!!!!!!!! GOOD LUCK!!!!!!!!!!
Answer:
-1
Step-by-step explanation:
First input = 4
Then we subtract 7 = 4 - 7 = -3
After that we divide 3 = - 3 ÷ 3 = -1
Hence, the output is -1 (Ans)
What's 3/5 of 1/4?!!!!! Plz help me!
Answer:
2.4 or [tex]\frac{12}{5}[/tex]
Step-by-step explanation:
In the divisor (the second fraction) we flip the numerator and the denominator. This is known as the reciprocal and basically it means the reverse of the fraction. When we find the reciprocal, we also have to change the division sign to a multiplication sign.
Once you've flipped the second fraction and changed the symbol from divide to multiply, we can multiply the numerators together and the denominators together and we have our solution:
[tex]\frac{12}{5}[/tex]
Find the missing side of this right
triangle.
10
Х
15
x= [?]
Enter the number that belongs in the green box.
Enter
Answer:
Step-by-step explanation:
A^2+B^C^2 ////////A^2=10, and B^2=X^2, and C^2=15
10^2 + X^2 =15^2
100 + X^2 = 225(15^2 = 225)
-100 -100
= square root x= square root (125)
your answer will be 125
The value of the missing side of this right triangle is 11.18 units and the number that belongs in the green box is 125.
What is Pythagoras theorem?Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of the square of other two legs of right angle triangle.
In the given image,
A right angle triangle is given.The length of the base is 15 units long.The length of the hypotenuse is 15 units long.Using the Pythagoras theorem, the value of x can be found out as,
[tex]x^2+10^2=15^2\\x^2=15^2-10^2\\x^2=225-100\\x^2=125\\x=\sqrt{125}\\x=11.18[/tex]
Thus, the value of the missing side of this right triangle is 11.18 units and the number that belongs in the green box is 125.
Learn more about the Pythagoras theorem here;
https://brainly.com/question/343682
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Which expression will give you the phase shift when the standard form is f(x)=asin(bx+c)+d
A. |a|
B. 2⁄|b|
C. -c/b
D. d
Answer:
1. A and C
2. C
3. B and E
4. B and C
Step-by-step explanation:
I just took the test 100%
(Geometry)
If you were in a hot air balloon 500 m over Lady Bird Lake, at what angle of depression would you look at a point on the ground 800 m
horizontally from the balloon?
ROUND TO THE NEAREST WHOLE DEGREE
Answer:
Set up trig ratio using tangent.
Tan theta = opp/adj
Tan theta = 500/800
Tan^-1 (500/800) = 32 degrees
Help me please!
I don’t get this question
Supplementary angles are angles that when you add them, make 180 degrees, which is a straight line. They are not to be joined together but added. So if one measures 90 degrees more than another, well what's the answer? I hope this helps.