The movement of a point along the coordinate geometry is referred to as translation.
Points B and C must be moved 3 units to the right and 1 unit upward to produce a new triangle that has the same orientation and is congruent to the original triangle.
Given that:
[tex]A = (0,4)[/tex]
[tex]A' = (3,5)[/tex]
Calculate the movement from A to A',
We simply calculate the difference between the coordinates of A and A'.
For the horizontal movement, we calculate the difference between the x-coordinates
[tex]x = x_2 - x_1[/tex]
[tex]x = 3 - 0[/tex]
[tex]x = 3[/tex]
This implies 3 units to the right
For the vertical movement, we calculate the difference between the y-coordinates
[tex]y = y_2 - y_1[/tex]
[tex]y = 5 -4[/tex]
[tex]y = 1[/tex]
This implies 1 unit upward
Hence, points B and C must be moved 3 units to the right and 1 unit upward to produce a new triangle that has the same orientation and is congruent to the original triangle.
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In a box of 180 oranges, 15% are not ripe. How many oranges are not ripe?
Step-by-step explanation:
Hey there!
Total oranges (t) = 180
Not ripe = 15%
Now;
No. of oranges which are not ripe= 15% of 180
= (15/100)*180
= 27
Therefore, 27 oranges are not ripen.
Hope it helps!
4. A coin collection contains nickels, dimes, and quarters. Which set of numbers would be used to describe the number of dimes in the collection? F Positive rational numbers G Counting numbers H Integers Rational numbers
please I need help
............... .
Answer & Steps:
I just left everything in fraction form unless it's equal to a whole number. Wasn't sure how you wanted it to be simplified
16) [tex]\frac{2}{3}[/tex] + [tex]\frac{1}{4}[/tex] = [tex]\frac{8}{12}[/tex] + [tex]\frac{3}{12}[/tex] = 11/12
17) 1/2 + 2/5 = 5/10 + 4/10 = 9/10
18) 3/10 + 4/5 = 3/10 + 8/10 = 11/10
19) 3/4 + 3/8 = 6/8 + 3/8 = 9/8
20) 2/7 + 1/2 = 4/14 + 7/14 = 11/14
21) 1/6 + 3/4 = 2/12 + 9/12 = 11/12
22) 10/15 + 2/5 = 10/15 + 6/15 = 16/15
23) 1/2 + 4/9 = 9/18 + 8/18 = 17/18
24) 2/3 + 3/5 = 10/15 + 9/15 = 19/15
25) 3/4 + 3/12 = 9/12 + 3/12 = 12/12 = 1
26) 5/6 + 1/18 = 15/18 + 1/18 = 16/18 = 8/9
27) 1/3 + 5/6 = 2/6 + 5/6 = 7/6
28) 3/4 + 5/6 = 9/12 + 10/12 = 19/12
29) 1/3 + 2/7 = 7/21 + 6/21 = 13/21
30) 5/12 + 3/8 = 10/24 + 9/24 = 19/24
31) 3/5 + 1/6 = 18/30 + 5/30 = 23/30
help me..........
A line has slope 5 and y-intercept - 3. Which answer is the equation of the line?
Find the mean of:
16 32 10 28 8 19 32 26
33 39 98 399
Answer:
91.125
Step-by-step explanation:
Total number/ Total number of quantity
16+32+10+28+8+19+32+26+33+39+98+399
729
Divode by number of quantity (8)
729/8
=91.125
Hope this helps, dont hesitate to Ask in comment below. Mark me as brainliest also appriciated!!
There are 2.54 cm in 1 in. and 36 in. in 1 yd. How many centimeters are in 1 yd?
Answer:
91.44
Step-by-step explanation:
multiply 2.54 and 36
A recreational court is three times as long as it is wide. If the perimeter is 272ft, find the dimensions of the court.
Answer:
BEANS
Step-by-step explanation:
BEANS BEANS BEANS BEANS BEANS BEANS
2 ( x + 2 ) -3 ( x - 7 )= 4
X/2 + 6 = 14
-4 ( 3 + x) = 4 ( x + 3 )
Answer:
кбйдлн
Step-by-step explanation:
уж гцдьжк кн бъг глог ф глас дишащи супертурнира връщаш вещица дишаш длан ганьо this is correct
Pls help with this algebra ( it’s about equations with variables on both sides) unit practice 1-4).
Answer:
x = -5
2.1x+45.2 = -7.3-8.4x
10.5x+45.2 = -7.3
10.5x = -52.5
x = -5
Which group of integers is in order from least to greatest?
A -12, -18-, -20, -24
B -20, -12, -24, -18
C -24, -18, -12, -20
D -24, -20, -18, -12
Answer:
D
Step-by-step explanation:
its not a because 12 is the greatest because its closest to zero
it not b because 24 is farthest from zero not 20
and its not c because 12 goes after 20 not 12,20
so the answer is d
what is x to the power of 2 +y to the power of 4
Answer:
×^2 + y^4
Step-by-step explanation:
hope that helps
Show how to solve this
Answer:
86093440 /129140163
Step-by-step explanation:
Explanation in the Images. I can clarify further if needed.
Do you know what the correct answer to the equation 2+2 is ?
Answer:
4
Step-by-step explanation:
Add the 2 and the other 2 to get 4.if you gave 2 apples and your friend has 2 apples when you combine them then count them it will give you 4
13. Very hard for me
Answer:
A
Step-by-step explanation:
COMPOUND PROBABILITIES - URGENT!
Answer:
21/33
Step-by-step explanation:
1. 8+10+3+12=33 students in school
2. Now, you find how much students play violin or guitar
- 8 students only play violin
- 10 students only play guitar
- 3 students play both
3. 21 students in total who play violin or guitar
4. Since there are 33 students total, 21 out of 33 play those instruments
(If its not right, then adding in the 3 students who play both is probably a mistake :P)
Answer:
7/11
Step-by-step explanation:
There are a total of 33 students in this problem. The prompt tells us there are 8 students who play the violin, 10 students that play guitar, and 3 students who play both. Therefore, out of 33 students, there are 21 that play violin or guitar.
21/33 = 7/11
Solve for b 11a+b/3 = 6a
Answer:
b = -15a
Step-by-step explanation:
[tex]11a+\frac{b}{3}=6a\\33a+b=18a\\b=-15a[/tex]
Your time in a 5k race. Is this discrete or continuous? Write a reasonable
domain. (5k is approximately 3 miles)
Answer:
For intermediate runners (generally those who run 10 – 20 miles per week) an average 5K time would be around 20-25 minutes, which is an average speed of around 7-9mph over the course.
Step-by-step explanation:
https://www.ukfitnessevents.co.uk/event/5k-runs/average-5k-time
a farmer is making a circular pen for her pigs she needs the pen to have diameter of 26 feet of fencing cost 32 per foot which the closest to the total cost of the fence that the farmer needs to make the pen
The total cost of the fence that the farmer needs to make the pen is 2614.
Firstly, we need to calculate the perimeter of the pen and this will be:
= πd
where,
π = 3.142
d = diameter = 26 feet
Perimeter = πd = 3.142 × 26 = 81.692 feet
Then, the value of the total cost will be:
= 81.692 feet × 32
= 2614.14
= 2614 approximately
In conclusion, the total cost of the fence that the farmer needs to make the pen is 2614
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Cual es el peso de un niño si su masa es de 21kg? Por fa estoy en examen
Answer:
Step-by-step explanation:
) Big companies own most of the assets
(b) Government owns the assets
(c) A group of people owns most of the assets
(d) An individual owns most of the assets
List the elements of the complement of each set A, given its universe U.
1. U= {2,3,8}, A= {2,3,8}
2. U= {whole numbers}
A= {odd whole numbers}
List the elements of each set.
3. {h|h is a whole number and h< -2
please help and show the work!!
Problem 1
U = {2,3,8} is the entire universe. It's all of the numbers that exist in this framework. We ignore anything else.
A = {2,3,8} simply copies the universe and lists all the values we care about.
The complement of set A is any number not in set A. But because set A lists everything we care about, there's nothing left.
Therefore, the complementary set is empty.
We can write the empty set as { } which is a pair of curly braces with nothing between them. Not even 0 is part of this set.
Answer: Empty set=============================================================
Problem 2
U = {whole numbers} = {0,1,2,3,4,...}
This time the universal set is a bit more interesting, or at the very least, it's much bigger.
Set A is the set of odd whole numbers, so A = {1,3,5,7,9,...}. Notice how anything inside set A is also in set U. We can say set A is a subset of set U.
The complement of set A would be the set of even whole numbers {0,2,4,6,...}. This is the list of stuff not found in set A, but it's in the universal set.
Combing the evens and odds together will help form the set of all whole numbers.
Answer: {0, 2, 4, 6, ...} which is the set of even whole numbers.=============================================================
Problem 3
set of whole numbers = {0,1,2,3,4,...}
Because h is a whole number, this means h must be selected from that set of values above and nowhere else.
We're then told that h < -2, but there is no such whole number that fits the description. Something like 4 < -2 is false. If we wanted negative values like this, then we'd have to expand to the set of integers.
Therefore, the set being described has nothing in it.
Answer: Empty set3x + 12 - 6x ≤ -9 help please
Answer:
7
Step-by-step explanation:
simple it's the inequalities version of multi-steps so first subtract 12 from both sides so...
3x-6x < -21
then combine like terms
-3x < -21
then divide by negative three
x < 7
Mandy bought school supplies for her two kids at the beginning of the scholastic year. She spent a total of $49.50 on 5 binders and other miscellaneous items. How much did each binder cost it 527 was spent on Miscellaneous items?
Each blinder cost will be $8.85.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
She spent a total of $49.50 on 5 binders and other miscellaneous items.
And, it $5.27 was spent on Miscellaneous items.
Now,
Let the cost on blinder = x
So, We can formulate;
⇒ 5x + 5.27 = 49.50
⇒ 5x = 44.23
⇒ x = 8.85
Thus, Each blinder cost = $8.85.
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#SPJ2
Need some help with this please
Answer:
a and d are the only options that is 4 times the sum of 257 and 8
Step-by-step explanation:
plz add it as brainliest
9. Find m<1
10. Find m<2
11. Find m<3
Answer:
I would say this question has not enough information because there are no 90 degree indicators not parallel indicators, but if that isnt a option, then
Step-by-step explanation:
72+41=113-180=67+41=108-180=72+41=113-180=67+72=139-180=41
<2=67
<1=72
<4=67
<3=41
evaluate the expression c[tex]a^{2}[/tex]+a
for a=5 and c=-2
ca^2+a
= -2×5^2+5
= -2×25+5
= -50+5
= -45....
what is - 4i ^ 19, simplify
Answer:
[tex]"i"[/tex]
Step-by-step explanation:
[tex]i =\sqrt{-1} \\i^{2}= -1\\\\i^{3}= -i\\\\i^{4}= 1\\\\i^{5}= i\\[/tex]
the cycle repeats every 4
19/4 = 4.75
16 is divisible by 4 plus three more
thus [tex]i^{19} = -i[/tex] but you problem has a minus in front so "i"
Convert 5.6 kg to mg
Answer:
5,600,000 mg
Step-by-step explanation:
from kg to g ×1000
and from g to mg × 1000
so its 5.6 × 1 million
Answer:
5600000
Step-by-step explanation:
There's 1000000 mg in one kg. Therefore you multiply 5.6 x 1000000 to get 5600000.
5.6 x 1000000
^ remember to move the decimal place over to the right once and then you take away a zero so you would be left with :
56 x 100000, this expression is easy to solve since you just need to count all the zeros and put that many zeros after 56 to get your final answer.
The sum of two integers is 14. If one of them is (-8), than the other is
Answer:
22
Step-by-step explanation:
14 = x + (-8)
x = 22
hope that helps
Answer:
14-(-8)=14+8=22
Step-by-step explanation:
That is the answer because 14-22=-8
Hope it helps!
In the diagram, P, Q, R, S, and T are collinear. PT=54 QT= 42 QS= 31 and RS= 17. Then find PQ, QR, ST, PS, PR, RT
If the points like P, Q, R, S and T are collinear they will follow the segment addition postulate.
Length of segments will be,
PQ = 12 units
QR = 14 units
ST = 11 units
PS = 43 units
PR = 26 units
RT = 28 units
It's given in the question,
P, Q, R, S, T are collinear.And the lengths of different segments are,
PT = 54QT = 42QS = 31RS = 17By segment addition postulate,
PQ + QT = PT
PQ = PT - QT
PQ = 54 - 42
= 12 units
QR + RS = QS
QR = QS - RS
= 31 - 17 = 14 units
ST = QT - QS
= 42 - 31 = 11 units
PS = PT - ST
= 54 - 11
= 43 units
PQ + QR = PR
12 + 14 = PR
PR = 26 units
RS + ST = RT
17 + 11 = RT
RT = 28 units
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4. A mountain climber needs to descend 2,000 feet.
He wants to do it in 4 equal descents. How far should
he travel in each descent?
A. 8,000 ft
B. -8,000 ft
C. 500 ft
D. -500 ft
Answer:
C. 500 ft
Step-by-step explanation:
If we want to make it all equal, we can divide the 2,000 ft by 4 because we have 4 equal descents.
2000 ÷ 4 = 500
He should travel 500 feet in each descent.
