The composition D
0.
(x, y) is applied
0
3(x,°D
to ARST to create the image of AR'S'T", which is not
shown.
Answers
Answer:
S'' = ([tex]-\frac{3}{2} , \frac{9}{2}[/tex] )
Step-by-step explanation:
coordinate of x is (-2 , 6)
scale factor to transform the triangle is 3/2
so to find S' use this scale factor
formula :
(x , y) = (kx , ky) (k means scale factor)
S(-2 , 6) = S'(3/2 *-2 , 3/2 * 6)
S'(-3 , 9)
now to find S'' again use the same formula
(x , y ) = (kx , ky)
this time take S' and to find S'' use 1/2 as scale factor
S'(-3 , 9) = S''(1/2 *-3 , 1/2 * 9)
S''(-3/2 , 9/2)
The transformation is S'' = (-3/2, 9/2). The correct option is A.
Scale factor refers to the ratio of corresponding lengths or measurements between two similar objects or figures. It represents how much one object has been scaled or enlarged/reduced compared to another object.
The scale factor is determined by dividing the length or measurement of a corresponding side or dimension of one object by the length or measurement of the corresponding side or dimension of the other object. It provides a quantitative relationship between the two objects.
The coordinate of x is (-2, 6). The scale factor to transform the triangle is 3/2 so to find S' use this scale factor.
formula :
(x , y) = (kx, ky) (k means scale factor)
S(-2 , 6) = S'(3/2 x -2 , 3/2 x 6)
S'(-3 , 9)
Now to find S'' again use the same formula:
(x , y ) = (kx, ky)
this time take S' and to find S'' use 1/2 as the scale factor.
S'(-3 , 9) = S''(1/2 x -3 , 1/2 x 9)
S''(-3/2 , 9/2)
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Related Questions
A battery with a voltage of 3 V provides a voltage of 0.56 C to some circuits. Calculate the electrical power provided by this battery
Answers
Answer:
The power is 1.68 W.
Step-by-step explanation:
Voltage, V = 3 V
charge, q = 0.56 C
time, t = 1 s
The power is given by
P = V q/t
P = 3 x 0.56 / 1
P = 1.68 W
Solve, Hurry, Need Help
[tex] {x}^{2} - 15x + 26[/tex]
Answers
Step-by-step explanation:
[tex]{x}^{2} - 15x + 26[/tex]
Factorize : What two numbers when added will give - 15 and when multiplied will give 26.
the number is - 13 and - 2
[tex] {x}^{2} - 2x - 13x + 26[/tex]
Factor out x
[tex]x(x - 2) - 13(x - 2) \\ (x - 13)(x - 2)[/tex]
Answer:
(x-13)(x-2)
Step-by-step explanation:
Factoring :
(x-13)(x-2)
[tex]x^2-13x-2x+26[/tex] combine like terms
Because -13-2 gives you -15 and -13 mutiply -2 gives you positive 26
[tex]x^2-15x+26[/tex]
I hope this helps you
how do you find the missing angles? thank you pls answer will give brainliest
Answers
Answer:
1. 70
2. 65
3. 115
4. 65
5. 65
6. 65
7. 65
Step-by-step explanation:
All of them are correct so dont worry
Have a nice day
HELP
A group of students is traveling to a baseball game on a rented bus. The cost to rent the bus is $100 and each ticket to the game costs $15.
The students decide that the cost per person should be less than $25.
Which inequality could be used to find the number of people, p, needed to go to the game in order to keep the cost below $25?
A
100-15p
> 25
р
Ha
B.
100-15p
<25
P
100+15p
c
> 25
р
OD
100+15p
P
<25
Answers
Answer:
100+15p < 25p
Step-by-step explanation:
Note that
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
total cost of travelling = cost to rent a bus + total cost of ticket for p persons
100 + 15p
they want to spend less than an average cost of 25 per p people
they want to spend less than 25p
since they dont want to spend less than 25p, < would be used
100+15p < 25p
30 points What's the area below
Answers
Answer:
213
Step-by-step explanation:
(12×11)+(5×6)+(7×6)+(3×3)=132+30+42+9
=213
Answer:
Step-by-step explanation:
Ggg
In parallelogram HJKL if m∡KLH=125∘find m∡LHJ.
Answers
Answer:
∠ LHJ = 55°
Step-by-step explanation:
Consecutive angles in a parallelogram are supplementary, sum to 180° , so
∠ LHJ + ∠ KLH = 180° , that is
∠ LHJ + 125° = 180° ( subtract 125° from both sides )
∠ LHJ = 55°
If x = 3, then 4x - 2 = 10 True or False
Answers
Answer:
True
Step-by-step explanation:
If x = 3, then we can subtitute in 3 for x in the equation;
4x - 2 = 10
4(3) - 2 = 10
12 - 2 = 10
10 = 10
Therefore the answer is True.
Hope this helps!
Sam took a total of 12 tests over the course of 6 weeeks if the continued to take tests at the same rate how many tests will Sam have taken after 28 weeks of school
Answers
Answer:
56 tests
Step-by-step explanation:
first find the amount of test he took each week. if we divide 12 by 6 (12 ÷ 6 = 2) we find out that he took 2 tests per week.
So if he continues with the same rate for the next 28 weeks of school, in order to find out how many tests he would have taken, we just need to multiply 28 by 2 (28 × 2 = 56), which will be equal to 56
hope this helps! if you have any questions, let me know!
solve for X. Round to the nearest tenth, if necessary.
Answers
Answer:
x=50.7
Explanation
90+38+x+1.3=180
90+38
Add these numbers
=128
128+x+1.3=180
128+x+1.3
Add these numbers
128+1.3=129.3
129.3+x
129.3+x=180
129.3+x
sort elements
x+129.3=180
129.3
convert this to a fraction
1293/10
x+1293/10=180
x+1293/10=180
Move each term from the right to the left side and change a sign of every element
x+1293/10-180=0
x+1293/10-180
subtract these number
1293/10-180=1293/10-1800/10
=-507/10
x-507/10=0
f (x)=x-507/10
a=1
b=-507/10
x-507/10=0
move each number from the left a the right side and change a sign of every element
x=507/10
therefore x=50.7
Find the H.C.F of the following expressions.
1) 16x⁴ - 4x² - 4x - 1 , 8x³ - 1
2) 9x² - 4y² - 8yz - 4z² , 4z² - 4y² - 9x² - 12xy , 9x² + 12xz + 4z² - 4y²
3) x² - 18x - 19 + 20y - y² , x² + x - y² + y , x² - y² + 2y - 1
Irrelevant / Random answers will be reported !!
Answers
Step-by-step explanation:
Hey there!
Please look your required answer in pictures.
Hope it helps!
Lines n and m are parallel and lines s and t are parallel, as shown.
If the measure of 1 is 120°. That is the measure of 2
Answers
Answer:
60
Step-by-step explanation:
straight lines are 180
since all lines are parallel
180 - 120 = 60
For the given set of parallel lines measurement of angle 2 is equals to 60degrees.
What are parallel lines?" Parallel lines are defined as coplanar lines which do not intersect in the same plane. They are equidistant from each other in the same plane."
According to the question,
Given,
Line 'n' is parallel to line 'm'
Line 's' is parallel to line 't'
As diagram drawn we have,
AB is a part of line 'n'
BC is a part of line 't'
CD is a part of line 'm'
DA is a part of line 's'
From this we get,
AB parallel to CD
BC parallel to DA
Therefore,
ABCD is a parallelogram.
Opposite angles in a parallelogram are congruent we have,
∠1 ≅∠3 = 120°
∠2 and ∠3 are supplementary angles.
⇒∠2 + ∠3 = 180°
⇒∠2 + 120° = 180°
⇒∠2 = 180° - 120°
⇒∠2 = 60°
Hence, for given parallel lines measure of angle2 is equals to 60degrees.
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I will give brainliest please help!
Answers
Answer:
40/5 = 8 per hour
Hope this helped :)
What is the volume of the following cylinder? Do not round your answer. (Use 3.14 for π.)
volume = ____yd3
Answers
Hope this helped!! Have a nice day :))
Answer: 1962.5
Step-by-step explanation: Just did this question it's right hope this helps
-0,05.[tex]\sqrt{28800}[/tex]
Answers
Answer:
-8.4855
Step-by-step explanation:
[tex]-0,05 \ \cdot \ \sqrt{28800}\\\\ = -0.05 \ \cdot \ 169.71\\\\= -8.4855[/tex]
For the following set of data, find the percentage of data within 2
population standard deviations of the mean, to the nearest percent.
58, 77, 31, 54, 58, 54, 56, 58, 56
Answers
Answer:
58,+77,+31,+54+,58+,54+,46+,58+,56/9
If the value of the mean is 55.78. Then the standard deviation will be 10.98.
What is a standard deviation?It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.
The data set is given below.
58, 77, 31, 54, 58, 54, 56, 58, 56.
Then the mean of the data set will be
Mean = (58 + 77 + 31 + 54 + 58 + 54 + 56 + 58 + 56) / 9
Mean = 502 / 9
Mean = 55.78
Then the standard deviation will be
[tex]\rm SD = \sqrt{\dfrac{(58 - 55.78)^2+(77-55.78)^2 + ..... + (56-55.78)^2 }{9}}\\\\SD = \sqrt { \dfrac{1085.5}{9}}\\[/tex]
On further solving we have
SD = 10.98
If the value of the mean is 55.78. Then the standard deviation will be 10.98.
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Given the building layout for Store A, Store B, Store
C, and Store D, what portion of the shared $6000
security costs should be apportioned to Store B if store A is 2500ft^2, store B is 625ft^2, store C is 625^2, and store D is 2500ft^2
Answers
Answer:
$600
Step-by-step explanation:
2500+625+625+2500=6250
625/6250=.10 or 10%
6000 x .10=600
Store B should be apportioned $600 of the shared $6000 security costs.
To apportion the shared $6000 security costs to each store based on their square footage, we need to calculate the total square footage of all the stores and then determine the proportion of each store's square footage to the total square footage.
[tex]Total square footage = 2500ft^2 (Store A) + 625ft^2 (Store B) + 625ft^2 (Store C) + 2500ft^2 (Store D)[/tex]
[tex]Total square footage = 6250ft^2[/tex]
Now, let's calculate the proportion of Store B's square footage to the total square footage:
[tex]Proportion of Store B = Square footage of Store B / Total square footage\\Proportion of Store B = 625ft^2 / 6250ft^2[/tex]
Now, find the proportion in decimal form:
[tex]Proportion of Store B = 625 / 6250\\Proportion of Store B = 0.1[/tex]
To determine the portion of the security costs for Store B, multiply its proportion by the total security costs:
Portion of security costs for Store B = Proportion of Store B * Total security costs
[tex]Portion of security costs for Store B = 0.1 * $6000\\Portion of security costs for Store B = $600\\[/tex]
Therefore, Store B should be apportioned $600 of the shared $6000 security costs.
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What are the domain and range of the function?
Answers
Answer: Domain: (-inf,inf) Range; [-4,inf)
Step-by-step explanation: Domain is x values possible and range is y values possible. Quadratics always have a domain of (-inf,inf) and the range starts from -4 going up infinitely. and if -4 is included then we use a bracket therefore, [-4,inf). Also, infinity always has a parenthesis.
AC =
Round your answer to the nearest hundredth.
?
?
с
A
70°
B
Answers
Answer:
AC = 3.76
Step-by-step explanation:
take 70 degree as reference angle
using sin rule
sin 70 = opposite / hypotenuse
0.939 = AC /4
0.939 * 4 = AC
3.756 = AC
3.76 = AC
Answer:
AC = 3,76
Step-by-step explanation:
Sin70 = AC/AB
Sin 70 = AC/4
AC = Sin70×4
AC = 3,76
solve for x, show work please!! 20 points.
Answers
Step-by-step explanation:
Here,
13x - 5 = 11x + 15. [Since corresponding angles are similar in parallel lines]
=> 13x - 11x = 15 + 5
=> 2x = 20
[tex] = > x = \frac{20}{2} [/tex]
=> x = 10 (Ans)
Please help me I really need help
Answers
771.05 m³ is tge answer brudah !!
= 703.72 + 100.53
= 804.2 m^3 (4sf)
Which dot plot shows 3 students purchased 4 books at the book fair? A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 0 dots, 3 has 3 dots, 4 has 4 dots, and 5 has 2 dots. A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 1 dot, 2 has 3 dots, 3 has 4 dots, 4 has 2 dots, and 5 has 2 dots. A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 2 dots, 3 has 3 dots, 4 has 3 dots, and 5 has 1 dot.
Answers
Answer:
A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 2 dots, 3 has 3 dots, 4 has 3 dots, and 5 has 1 dot.
Step-by-step explanation:
The title given to a boxplot will be the values labeled on the horizontal axis, hence since the title of the plot is the number of books purchased at a book fair, If 3 students purchased 4 books, then the Horizontal label at 4 (number of books purchased) will have 3 dots (which corresponds to the number of students who purchased 4 books).
is 6,7,13 a right triangle
Answers
Answer:
No
Step-by-step explanation:
For a right triangle, according to the Pythagorean Theorem, the 2 sides squared must equal the hypotenuse squared. ([tex]a^{2} +b^{2} =c^{2}[/tex])
The hypotenuse is the longest side so [tex]13^{2}=169[/tex]
[tex]6^{2}=36\\7^{2}=49[/tex]
36 + 49 does not equal 169
Eeeeeeeeeeeeeeeweeeeeeeeeeeeeeeeee
Answers
i will give you brainliest if you help me with this
Answers
Answer:
a) 9 + 3 = 12
b) 5x = (5 x 6 = 30) 30
c) 2x (2 x 3 = 6) = 13
d) 5x (5 x 2 = 10) = 14 + x (10)
Step-by-step explanation:
I hope it is right
Answer:
a. x=9
b. x=6
c. x=3
d. x=10/4
-5,2 translated 2 two units left and one unit up
Answers
Answer:
(-7, 3)
Step-by-step explanation:
You already said the point of C is (-5, 2)
Now all we simply do is change the values of each X and Y value respectively.
When moving to the left, the value is subtracted for X.
When moving up the value is added to Y.
-5-2 = -7
2+1 = 3
Answer:
It is going to be -7;3 as I can see on the picture you sent the answer is the first option.
Find mean, median, mode, range
Answers
Answer:
Range = 30
Mode = 80
Median = 90
mean = 87
please help :(
simplify (5^1/6)^6
A. 5^36
B. 1/5
C.5
D.5^6
Answers
Answer:
the correct answer is C.5
Step-by-step explanation:
(5^1/6)^6=5
3^8 times 3^2, using properties of exponents
Answers
Answer:
[tex]3^{10}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex]3^{8}[/tex] × 3² = [tex]3^{(8+2)}[/tex] = [tex]3^{10}[/tex]
what would be the best first step in solving this system?
Answers
Answer:
B. substitute for X in first equation
Please show me 3+2 (2x - 4) and can you please show the work?
Answers
Answer:
4x -5
Step-by-step explanation:
3+2 (2x - 4)
Distribute
3 + 2*2x - 2*4
3+4x - 8
Combine like terms
4x +3-8
4x -5
Answer:
4x - 5
Step-by-step explanation:
3+ 2 (2x) + 2 (-4)
3+4x - 8