graph the image of triangle abc after dilation with the scale factor of 3 centered at the origin?
Answers
Answer:
A' = (0,0)
B' = (6,-12)
C' = (-12,-12)
Step-by-step explanation:
According to the Question,
Let's label the corner points of the triangle A,B,C starting at the origin and moving clockwise(ForDiagram Please Find in Attachment)A = (0,0) , B = (2,-4) , C = (-4,-4)
Dilating with a scale factor 3 means we multiply each coordinate of each point by the value 3A = (0,0) becomes A' = (0,0). No change happens. This point is fixed
B = (2,-4) becomes B' = (6,-12). This point does move
C = (-4,-4) becomes C' = (-12,-12). This moves as well
So all you need to do from here is draw triangle A'B'C'.
Note ⇒
the lengths of triangle A'B'C' are Thrice as long as their counterparts on triangle ABC. Consequently, this means the perimeter of A'B'C' is Thrice as long as the perimeter of ABC. Also, triangle A'B'C's area is Nine times larger than the area of triangle ABC.
Related Questions
Which of the following graphs best represents the solution to the pair of equations below? y = −2x + 2 y = 2x + 2
Group of answer choices:
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at negative 2 and the x axis at 1. The lines intersect at 1 comma 0.
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at negative 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines are parallel and do not intersect.
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2.
- A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at negative 1. The other line passes through the y axis at negative 2 and the x axis at negative 1. The lines intersect at negative 1 comma 0.
Answers
Answer:
A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2.
Answer:
yes
Step-by-step explanation:
A research center project involved a survey of 846 internet users. It provided a variety of statistics on internet users. (a) The sample survey showed that 94% of respondents said the internet has been a good thing for them personally. Develop a 95% confidence interval for the proportion of respondents who say the internet has been a good thing for them personally. (Round your answers to four decimal places.) 0.9239 Incorrect: Your answer is incorrect. to 0.9561 Incorrect: Your answer is incorrect. (b) The sample survey showed that 67% of internet users said the internet has generally strengthened their relationship with family and friends. Develop a 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends. (Round your answers to four decimal places.) 0.6385 Incorrect: Your answer is incorrect. to 0.7015 Incorrect: Your answer is incorrect.
Answers
Answer:
(a) (0.9240, 0.956)
(b) (0.6383, 0.7017)
Step-by-step explanation:
The number of internet users involved in the survey, n = 846
The percentage of the respondents that said the internet has been good thing for them personally, [tex]\hat p[/tex] = 94%
(a) The confidence interval of a percentage is given as follows;
[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
The z-value for 95% confidence interval = 1.96
We get;
[tex]CI=0.94\pm 1.96\times \sqrt{\dfrac{0.94 \times (1-0.94)}{846}} \approx 0.94 \pm 1.6003 \times 10^{-2}[/tex]
CI = 0.9240 ≤ [tex]\hat p[/tex] ≤ 0.956 = (0.9240, 0.956)
(b) The percentage of the internet users that said the internet has directly strengthened their relationship with their families, [tex]\hat p[/tex] = 67% = 0.67
The 95% confidence interval is therefore;
[tex]CI=0.67\pm 1.96\times \sqrt{\dfrac{0.67 \times (1-0.67)}{846}} \approx 0.67 \pm 3.1686\times 10^{-2}[/tex]
From which we have;
CI = 0.6383 ≤ [tex]\hat p[/tex] ≤ 0.7017 = (0.6383, 0.7017)
A student club has 60 members. They want to elect two officers who will serve as the president and the vice president of the club. The club bylaws dictate that the selections be done without replacement and that the first person selected would serve as the president and the second person selected would serve as the vice president. Calculate how many different ways the selections can be made if: a) There is no restriction on who is elected and whoever is elected will accept to serve. (2 Points) b) Two members, say A and B, will accept to serve only if they are elected to serve together. (3 Points)
Answers
Answer:
3540
2
Step-by-step explanation:
Total number of members = 60
Number of members to be elected = 2
Since the order of selection matters as the first is president and second is vice president ;
Using the permutation formula :
nPr = n! ÷ (n-r)!
60P2 = 60! ÷ (60 - 2)!
60P2 = 60! ÷ 58!
60P2 = 3540
B.) 2 members A and B will accept to serve only if they are selected to serve together ;
Since only 2 members (president and vice president) are to be chosen ; Hence, only the tow of them (A and B) will be chosen, to do this ;
2P2 = 2! /(2 - 2)! = 2! / 0! = (2*1)/1 = 2
D The prize money for a competition is
shared between the winner and the runner-up
in the ratio 3: 1.
The winner received £250 more than the
runner-up.
What was the total prize money?
Answers
Answer: 333.3
Step-by-step explanation:
Answer:
Total amount = £500
Step-by-step explanation:
Let the amount for the runner up be = x
Let the amount for winner be = x + 250
Let the total amount be x + x + 250 = 2x + 250
Ratio of the amount is 3 : 1
Sum of the ratio = 3 + 1 = 4
Amount for the winner is
[tex]\frac{3}{4} \ of \ (2x + 250) = (x + 250)\\\\\frac{3}{4}\times(2x + 250) = x + 250\\\\\frac{6x}{4} + \frac{750}{4} = x + 250\\\\\frac{6x}{4} - x = 250 - \frac{750}{4}\\\\\frac{6x - 4x}{4} = \frac{1000 - 750}{4}\\\\\frac{2x}{4} = \frac{250}{4} \\\\2x = 250\\\\x = 125[/tex]
Therefore, Amount won by runner - up = x = £125
Amount won by winner = x + 250 = 125 + 250 = £375
Therefore, total amount = 375 + 125 = £500
Which values of x would make a polynomial equal to zero if the factors of the
polynomial were (x+4) and (x+8)?
A. 4 and -8
B. 4 and 8
O c. -4 and -8
O D. -4 and 8
Answers
Answer:
C
Step-by-step explanation:
Given the factors of a polynomial.
To find the zeros ( the values that make the polynomial equal to zero ), then
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x + 8 = 0 ⇒ x = - 8
Helllppppppppppppppp
Answers
Answer:
4/5
Step-by-step explanation:
I THINK
Answer:
4/10 or 2/5
Step-by-step explanation:
divide 1/2 by 5
Then multiply by 4
A student is standing 20 feet away from the base of a tree. He looks to the top of the tree at a 50 angle of elevation. His eyes are 5 feet above the ground. Using cos 50 0.64, what is the height of the tree to the nearest foot? 350 5 ft 20 Ft 24 feet 29 feet 36 feet 31 feet Done
Answers
Answer:
29 ft
Step-by-step explanation:
We solve using the Trigonometric function of Tangent
tan θ = h - 5/20
θ = 50°
Hence
tan 50 = h - 5/20 feet
Cross Multiply
tan 50 × 20 feet = h - 5
23.8350718518842 + 5= h
h = 28.8350718518842
h = 29 ft
Answer:
29
Step-by-step explanation:
During a recent two-day snowstorm, it snowed 6- inches on the first day
8
5
and 8 inches on the second day. Find the total snowfall.
12
,
Answers
Answer:
4.8 inches
Step-by-step explanation:
6 * 1 / 8 = 0.75
8 * 5 / 12 = 3.33
0.75 + 3.33 = 4.8 inches
Answer:
4.8 inches
Step-by-step Explanation:
I need help with this
Answers
Answer:
Tom
Step-by-step explanation:
After you convert them to decimals 131/593 is 0.22091062394 while 2/9 is 0.22222222222
PLEASE HELP
Write the equation of the parabola in vertex form.
Answers
Answer:
the free
Step-by-step explanation:
please help!!!!!!!!!!!!
Answers
Answer:
I think the answer is 16 mm.
helppp plzzzzzzzzzzzzz
Answers
Answer:
b, the answer is b
Step-by-step explanation:
i can explain later
Answer:
ans: x> -9
Step-by-step explanation:
if you multiply
-2x < 18 by -1 than inequality sign changes as
2x > -18
divide both side by 2 to free 2x to x i.e
2x/2 > (-18/2)
so
x> -9
Dan earns £8.50 per hour. how much will he learn for 8 hours work?
Answers
Answer:
68
Step-by-step explanation:
John gets 3 Dollars and 12 cents everyday by mowing lawns, but he's been noticing that every time he mows his lawns he get 0.2 more money than he did before that lawn mowing session if John mowes two lawns every day and John starts at 3 Dollars and 12 cents, in 1 week how much money will John have made?
Answers
Hope this helps :D
If you don’t mind could you mark me brainliest I’m one point away from leveling up please.
What is the slope intercept form for 8-9 whoever answers both and correct will get brainliest
Answers
Answer:
slope 8= -1/5
slope 9= -1
Step-by-step explanation:
what is the answer to -24 = 36x
Answers
devide both sides by 36
-24/36 = x
reduce
-2/3
x + 3 > 70
How do I solve this step by step?
Answers
Answer:
x > 67
Step-by-step explanation:
x+3 >70
subtract from each side
x+3-3 > 70 -3
x > 67
Algebra
To solve this, simplify the algebra inequality.
Subtract three from both sides.
x>67
Meaning, x is bigger than 67.
Which of the following systems of equations has many solutions?
1.
2x + 3y = 6
y= 2x + 2
2.
8x - 4y= 12
y=2x-3
.
3
y= 4x + 3
y= 4x - 3
4.
2x + y = 4
-2x - y = 4
Answers
Answer:
This is very.....
Step-by-step explanation:
hard
Can someone help me find the area plz
Answers
Answer:
16.24 yd^2
Step-by-step explanation:
The area is
A = bh
A = 5.6*2.9
A =16.24 yd^2
Answer:
Step-by-step explanation:
90.9
Determine the slope from the given graph below:
Answers
Answer:
A
Step-by-step explanation:
Answer:
B it's 8
Step-by-step explanation:
Brainliest plss
Which of the relationships you listed above will be the most helpful in figuring out the measurements of the safety fences? (2 points)
Answers
2) Angel does 124 sit-ups a day for 6 days, while Paul does 152 sit-ups a day for 4 days. Who has more sit-ups?
Answers
Total no. sit-ups by Angel = 124×6 = 744
Total no. sit-ups by Paul = 152×4= 608
Answer: Angel
A triangle has sides with lengths of 11 miles, 16 miles, and 18 miles. Is it a right triangle?
Answers
Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 18, and 18² = 324
11² + 16² = 121 + 256 = 377 ≠ 324
Then triangle is not right.
Represent 3,4 in number line
Answers
Answer:
Please give the context of questions, as it really helps people answer your questions. thanks! n.n
Find the distance between the points (-4,-2) and (-10, 6). Write your answer as a whole number or a fully simplified radical expression. Do not round. units
Answers
hope it helps
On the following parallelogram, find angle a in degrees.
12 inches
b
с
у
a
1149
+
Х
O a = 66
O a = 114
O a = 45
O a = 58
Answers
9514 1404 393
Answer:
a = 66
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
a = 180° -114°
a = 66°
5 number summary? Please help this is confusing and please do step by step
Answers
the q1 is the median of the lower half —3
the median is the middle number—5
the q3 is the median of the upper half—8
the max is the highest value in the data set—10
Which expression is equivalent to -x² + 5x + 94 = 13?
A.(x + 7)(x + 12) = 13
C.(x – 12)(x – 7) = 13
b. (x - 12)(x + 7) = 3
d. -(x - 7)(x + 12) = 3
Answers
rút gọn biểu thức của căn bậc hai số học của 125 - 10 căn bậc hai số học của 1/20 - căn bậc hai số học của 5 - 5/ căn bậc hai số học của 5
Answers
Answer:
2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{125}[/tex]-10[tex]\sqrt{ \frac{1}{20} }[/tex]-[tex]\sqrt{5}[/tex]-[tex]\frac{5}{\sqrt{5} }[/tex]
=5[tex]\sqrt{5}[/tex]-10[tex]\frac{\sqrt{5}}{10}[/tex]-[tex]\sqrt{5}[/tex]-[tex]\sqrt{5}[/tex]
=2[tex]\sqrt{5}[/tex]
Evaluate.
-3/7 +7/8
Giver answer in fraction notation.
The numerator is_______.
The denominator is________.
Hint: the numerator isn't 25; I need this ASAP. Thank you☺️
Answers
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {Numerator\:=\:25 }}}}}}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {Denominator \:=\:56}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \: \frac{ - 3}{7} + \frac{7}{8} [/tex]
Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.
The L. C. M for 7 and 8 is 56.
Now,
➺[tex] \: \frac{ - 3 \times 8}{7 \times 8} + \frac{7 \times 7}{8 \times 7} [/tex]
➺[tex] \: \frac{ - 24}{56} + \frac{49}{56} [/tex]
Now that the denominators are equal, we can add them.
➺[tex] \: \frac{ - 24 + 49}{56} [/tex]
➺[tex] \: \frac{ 25}{56} [/tex]
Therefore, the numerator is [tex]\boxed{ 25 }[/tex] and the denominator is [tex]\boxed{ 56 }[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{ヅ}}}}}[/tex]