The image of the point (-4, -1) after the translation is:
(-3, 1)
How to identify the translation?
A translation:
Tᵃ'ᵇ applied to a point (x, y) gives:
Tᵃ'ᵇ(x, y) = (x + a, y + b).
In this case, we know that:
Tᵃᵇ(1, 1) = (1 + a, 1 + b) = (0, 3)
Then:
1 + a = 0
1 + b = 3
Solving these we get:
a = 1
b = 3 - 1 = 2
The translation is:
T¹'²
Applying this to the point (-4, -1) gives:
T¹'²(-4, -1) = (-4 + 1, -1 + 2) = (-3, 1)
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PLEASE HELPPPPPP!!!!!!
Which transformation represents a reflection over the y-axis?
Answer: B
Step-by-step explanation:
The preimage is "flipped" over the x axis to form the image.
Option A is a reflection over the line y=x.
Option C is a rotation of 180 degrees about the origin followed by a dilation.
Option D is a reflection over the x-axis.
Option E is also a reflection over the x-axis.
A television normally
costs $1,420. Due to
a store sale, the
television is now $994.
What was the
percentage taken off
the television?
A 30% percentage of the total price was taken off the TV.
What is the percentage?By dividing the value by the total value and multiplying the result by 100, one can determine the percentage. The percentage calculation formula is (value/total value)100%. A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement.So, the percentage is taken off from TV:
$1,420 - $994 = $426
Formula: (original price - decreased price)/original price × 100
Now, substitute values as follows:
(1420 - 994)/1420 × 100994/1420 × 1000.7 × 10070%Now, 100% - 70% = 30%
Therefore, a 30% percentage of the total price was taken off the TV.
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Parallel and transversals
I was in a rush so I couldn't write fown the steps. If you need the explanations for how they were gotten, please say.
A line passes through (12,-4) and (-6,10). Find the y-intercept, b, of the line.
The y-intercept of the line passes through (12,-4) and (-6,10) is 32/6
Let (x1, y1) = (12, -4)
and (x2, y2) = (-6, 10)
Using the formula of the two-point form of equation of line,
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y + 4)/(10 + 4) = (x - 12)/(-6 - 12)
(y + 4)/14 = (x - 12)/(-18)
-18y -72= 14x - 168
-18y = 14x - 168 + 72
-18y = 14x - 96
y = -(14/18)x + 96/18
y = -7/9 x + 32/6
Comparing with slope-intercept form of line y = mx + b
y-intercept(b) = 32/6
Therefore, the y-intercept of the line passes through (12,-4) and (-6,10) is 32/6
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convert improper fractions to mixed number 7/5
The mixed fraction of the given improper fraction is [tex]1\frac{2}{5}[/tex].
According to the question,
We have the following improper fraction:
7/5
Now, to convert this into mixed fraction we will divide the numerator by the denominator and add the quotient before the fraction and the remainder will form the numerator and the denominator will remain same as that of this improper fraction.
(More to know: there are three kinds of fraction: proper fraction (in proper fraction, we have denominator larger than numerator), improper fraction and mixed fraction.
So, we will divide 7 by 5:
[tex]1\frac{2}{5}[/tex]
Hence, the mixed fraction of 7/5 is [tex]1\frac{2}{5}[/tex].
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For which values of A, B, and C will Ax + By = C be a horizontal line through the point (4, -9)?
Answer:
Step-by-step explanation:
no
(5+2) (5-5)=0 is it a solution .
Answer:
5+5 5-5=0 is not a solution
Step-by-step explanation:
In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?
attempt 1 out of 2
Answer:
45%
Step-by-step explanation:
In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?
P (no bro / yes sis) = P(no bro) - P(sis and bro)
= 12/20 - 3/20
= 9/20
or 45%
The following are daily customer numbers at an outerwear store. You've calculated themedian number of customers for the first six days of the week:Monday Tuesday Wednesday Thursday Friday Saturday Sunday175132A. IncreaseB. DecreaseC. Stay the same121129145160Q. If the store has 173 visitors on Sunday, will the median increase, decrease, or stay thesame?
Answer:
[tex]A\text{ : Increase}[/tex]Explanation:
Here, we want to deduce the median change
The median is a measure of central tendency that represents the middle number is a set of numerical observations
Firstly, let us get the previous median
We start by sorting the numbers from bottom to top
We have that as:
121,129,132,145,160,175
Since the count of observations is even, we have the median as the average of the two mid-values
We have that as:
[tex]\frac{132+145}{2}\text{ = 138.5}[/tex]Adding the last value, the set becomes
121,129,132,145,160,173,175
In this case, the median value would be 145 which shows an increase in the value of the median
Answer:
A. Increase
Step-by-step explanation:
I took the
When an integer is subtracted from 8 times the next consecutive integer, the difference is -20. Find the value of the lesser integer.
Answer: -4
Step-by-step explanation:
Let the integer be x.
[tex]8(x+1)-x=-20\\\\8x+8-x=-20\\\\7x+8=-20\\\\7x=-28\\\\x=-4[/tex]
So, the integers are -4 and -3.
Graph the linear equation. Help 50 points!!
First, let's edit the equation of the given line.
[tex]2y=2+3x[/tex][tex]y=\frac{2+3x}{2}[/tex]We were asked to identify three points. Let us give the value of [tex]x[/tex] as [tex]2,4[/tex] and [tex]6[/tex] respectively.
For [tex]x=2, y=4[/tex]For [tex]x=4, y=7[/tex]For [tex]x=6, y=10[/tex]Why did we give consecutive even numbers? Because our unknown is preceded by an odd number. We applied this to find the integer in the rational expression.
Finally, you will mark the three points we found on the coordinate plane. In the photo below, I have marked them for you.
12/-3 Enter your answer as a number, like this: 42
Answer:
-4
Step-by-step explanation:
12/-3=-4
I need help please(˘･_･˘)
Answer:
with?
Step-by-step explanation:
X^2+8x-35=0 which number would be added to complete the square
Answer:
x =(8-√204)/2=4-√ 51 = -3.141
x =(8+√204)/2=4+√ 51 = 11.141
Step-by-step explanation:
Factoring x2-8x-35
The first term is, x2 its coefficient is 1 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is -35
Step-1 : Multiply the coefficient of the first term by the constant 1 • -35 = -35
Step-2 : Find two factors of -35 whose sum equals the coefficient of the middle term, which is -8 .
-35 + 1 = -34
-7 + 5 = -2
-5 + 7 = 2
-1 + 35 = 34
If (1 - a) is decreased, the width of a confidence interval isA. Decreased B. Same C. Increased D. Constant
We have to find how the interval (1-α) affects the width of the confidence interval.
The interval (1-α) represents the confidence required for the interval.
The greater the confidence required, the wider will be the interval.
This means also that when we decrease the confidence required, the interval width decrease too, as we are less strict with the number of sample means that have to fall within that interval.
Then, when (1-α) decreases, the width of the confidence interval also decreases.
Answer: A. Decreased,
BRAINLIEST + THANK GIVEN:
A restaurant has a total of 20 tables -> Round tables that seat 2 people and rectangular tables that seat 4 people. All 70 seats in the restaurant are occupied.
write system of equation to represent this scenario.
The system of equations to represent this scenario is x + y = 20 and 2x + 4y = 70 .
In the question ,
it is given that
the total number of tables in the restaurant = 20 tables
let the number of round tables be "x"
let the number of rectangular tables be "y" .
number of person that can seat on a round table = 2
So , the number of person that can seat on "x" round tables = 2x person
number of person that can can seat on rectangular table = 4
So , the number of person that can seat on "y" rectangular tables = 4y person
since total number of table is 20
So , the equation is x + y = 20
and total number of person that can seat are 70 seats .
So , the equation is 2x + 4y = 70
Therefore , The system of equations to represent this scenario is x + y = 20 and 2x + 4y = 70 .
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Can someone help me figure out the 2 proofs for questions 1 and 3 and help me find what X and Y equal for question 2 if you can!! In geometry
Hello! We can prove this with some statements, look:
• Notice that CD is parallel to AB;
,• angle 1 ≅ angle 2
,• M is the midpoint of AB;
Statement 1:
[tex]\hat{\text{AMC}}\cong\hat{\text{BMD}}[/tex]Reasoning 1:
As M is the midpoint of AB and we have two similar lines starting in M, we can divide the angle M into two equal angles m1 and m2.
definition of midpoint
Statement 2:
[tex]\hat{C}=\hat{D}[/tex]Reasoning 2:
As we already know that angle 1 ≅ angle 2, let's calculate the sum of the angles C and D, look:
angle C:
90º + angle 1
angle D:
90º + angle 2
so, 90º + angle 1 ≅ 90º + angle 2, it means that angle C ≅ angle D.
Statement 3:
[tex]\hat{MAC}\text{ = }\hat{\text{MBD}}[/tex]Reasoning 3:
The sum of the internal angles of a triangle must be equal to 180º, right? So, knowing it we can say that angles A and B are equal, look:
m1 + A + C = m2 + B + D = 180º
remember, m1 ≅ m2 and C ≅ D, so A ≅ B too.
According to the explanation and image, we can prove that triangle CAM ≅ triangle DBM.
Table:
Two office supply stores sell their brand of copy paper by the pound. One company offers a flat rateshipping charge and the other offers free shipping.Use the graph provided to construct a linear system to model this situation. Solve the system todetermine the amount of copy paper for which the cost is the same at both stores. Use the graph to verifythat your answer is reasonable.220200(450,202.51180160(400,156)1401Cost ($)1201008060(0.56)4020(0,0)Amount of copy paper (lb)-1 (x)-9 (X)50100150200250300350150 00The y-intercept, b, of f(x) isand the slope, m, offix) is
Given the graph in the attached image.
The red line represents f(x) and the blue line represents g(x);
From the graph;
The intercept, b, of f(x) is
[tex]b=56[/tex]and the slope, m, of f(x) is;
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1}=\frac{156-56}{400-0} \\ m=\frac{100}{400} \\ m=\frac{1}{4} \\ m=0.25 \end{gathered}[/tex]So, f(x) is;
[tex]\begin{gathered} f(x)=mx+b \\ f\mleft(x\mright)=0.25x+56 \end{gathered}[/tex]For g(x)
The y-intercept, b, of g(x) is;
[tex]b=0[/tex]and the slope, m, of g(x) is;
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1}=\frac{202.5-0}{450-0} \\ m=\frac{202.5}{450} \\ m=0.45 \end{gathered}[/tex]So, g(x) is;
[tex]\begin{gathered} g(x)=mx+b \\ g(x)=0.45x+0 \\ g(x)=0.45x \end{gathered}[/tex]To derive the solution, let us equate the two equations;
[tex]undefined[/tex]I can take a picture but I can't type it sorry
Substitute 80 for C in the formula F = 9/5C +32 to obtain the temperature in fahrenheit.
[tex]\begin{gathered} F=\frac{9}{5}\cdot80+32 \\ =9\cdot16+32 \\ =144+32 \\ =176 \end{gathered}[/tex]Thus temperature in
I need this answered please
Answer:
240 copies of the standard version.
Step-by-step explanation:
See attached worksheet.
Bonus: Since 240 standard copies were downloaded, we know that 3 times that number is the number of high quality versions downloaded.
Copies Size(MB) Total MB
Standard 240 2.6 624
High 720 4.4 3168
Total (MB) 3792 {This matches the data]
Help I'm terrible at math
What is the solution to this inequality?
7−14x>3
Answer:
I think the answer is x<2/7
Step-by-step explanation:
That's what i got.
Answer:
Step-by-step explanation:
x<2/7
The table shows the cumulative number of minutes Alice practices clarinet for the first part of the school year:Which is the most appropriate choice of origin and scale for this graph?
The most appropriate choices of origin and scale for the graph are given as follows:
Origin: x = 0, y = 0.Scale: x with a scale of 1, y with a scale of 100.Most appropriate scaleThe most appropriate scale one of a graph is one that permits the reader to visualize the data and noting the differences in the data.
In the context of this problem, the values of x from the table increase 1 by 1, hence a large scale would not give the reader a chance to visualize the data, hence a scale of 1 should be used.
The values of y, otherwise, range from 300 to 1200, meaning that a small scale would be bad for the readability of the graph, and thus a scale of 100 should be used for the values of y, giving the readers a chance to visualize the differences between 300 and 1200.
The origin of the graph should be the point (0,0), as both x and y assume only positive values, hence only the first quadrant is needed to plot the graph.
Missing information
The table is missing and is given by the graph at the end of the answer.
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this is a super hard one
Notice that in the given sequence the difference between the first two terms is 7 so the solution must be in terms of multiples of 7 plus a constant. The only two options that have this characteristic are first and last ones, for the sum to consider the first term the sum must start for r=0.
Answer: last option.
The sum of an integer and 2 times the next consecutive even integer is -2. Find the value of the lesser integer.
The value of the lesser integer is -2.
According to the question,
We have the following information:
The sum of an integer and 2 times the next consecutive even integer is -2.
Let's take the lesser integer to be x.
Now, the next consecutive integer will be (x+2).
So, we have the following expression:
x + 2(x+2) = -2
x+2x+4 = -2
3x+4 = -2
Moving 4 from the left hand side to the right hand side will result in the change of the sign from plus to minus:
3x = -2-4
3x = -6
x = -6/3
x = -2
Hence, the value of the lesser integer is -2.
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Please help me with this
Find the reminder when 2 to the 100th power is divided by 5 explain your work
The remainder when 2 to the 100th power is divided by 5 is 8.
What is the remainder when 2 to the 100th power is divided by 5?The remainder when 2 to the 100th power is divided by 5 is 8. We can achieve the accurate result by using the exponential formula where:
a^mn = a^m(n)
So, applying this here, we will have
2^10 (10)/5
Recall that multiplying 10 by 10 will give us 100. What was done in this case is simply splitting the figures up to make the division simpler. The exponential law was applied here.
Now, 2^10/5
204.8
The remainder as we can see from this result is 8. Thus we arrive at the answer 8.
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2. WRITING Describe the relationship between the angle measures of
angles, supplementary angles, vertical angles, and
complementary
linear pairs.
Please help
Answer:
yes
Step-by-step explanation:
Find the slope of the line.
slope =
11
rise
run
5
11
40
30
20
10
O
2
4
6
8
G
G
to get the slope of any straight line, we simply need two points off of it, let's use the ones from the picture below.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{20}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{20}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{0}}} \implies \cfrac{ 20 }{ 5 } \implies \text{\LARGE 4}[/tex]
Allie and Roman are trying to graph the blue line shown on the left. Only one of them has a correct answer.
Allie entered this equation: y=2x−8
Roman entered this equation: y=8−2x
Who is correct?
Answer:
3x
Step-by-step explanation:
In a single experiment, a die is tossed and a spinner with the letters a, b, and c is spun. each letter is equally likely. find the sample space and then find the probability of getting a 2 on the die and a b on the spinner. a. the sample space is 18. the probability of getting 2 and b is startfraction 1 over 18 endfraction. b. the sample space is 9. the probability of getting 2 and b is startfraction 1 over 9 endfraction. c. the sample space is 18. the probability of getting 2 and b is startfraction 1 over 9 endfraction. d. the sample space is 9. the probability of getting 2 and b is startfraction 1 over 18 endfraction.
Answer:c
Step-by-step explanation:
Answer:
Its A. Not C
Step-by-step explanation:
A is The sample space is 18. The probability of getting 2 and B is 1/18.