ABC is reflected across x = 1 and y = -3. What are the coordinates of the reflection image of B after both reflections?
A. (-7, -1)
B. (-7, 1)
C. (7, 1)
D. (7, -1)
Answers
Answer:
The correct option is C
Step-by-step explanation:
From the given figure it is noticed that the coordinates of point B are (-5,-7).
If a figure is reflected across x = 1, then
[tex](x,y)\rightarrow (1-(x-1),y)[/tex]
[tex](x,y)\rightarrow (2-x,y)[/tex]
So the coordinates of B after reflection across x = 1 are
[tex](-5,-7)\rightarrow (2-(-5),-7)[/tex]
[tex](-5,-7)\rightarrow (7,-7)[/tex]
If a figure is reflected across y = -3, then
[tex](x,y)\rightarrow (x,-3-(y+3))[/tex]
[tex](x,y)\rightarrow (x,-6-y)[/tex]
So the coordinates of B after reflection across x = 1 followed by reflection across y= -3 are
[tex](7,-7)\rightarrow (7,-6-(-7))[/tex]
[tex](7,-7)\rightarrow (7,1)[/tex]
Therefore the coordinates of the reflection image of B after both reflectionsthe are (7,1) and option C is correct.
Related Questions
solve 3m+7/2=−2m+5/2 what is m
Answers
Put each term in 3 m + 7/2 over the common denominator 2: 3 m + 7/2 = (6 m)/2 + 7/2:(6 m)/2 + 7/2 = 5/2 - 2 m
(6 m)/2 + 7/2 = (6 m + 7)/2:(6 m + 7)/2 = 5/2 - 2 m
Put each term in 5/2 - 2 m over the common denominator 2: 5/2 - 2 m = 5/2 - (4 m)/2:(6 m + 7)/2 = 5/2 - (4 m)/2
5/2 - (4 m)/2 = (5 - 4 m)/2:(6 m + 7)/2 = (5 - 4 m)/2
Multiply both sides by 2:6 m + 7 = 5 - 4 m
Add 4 m to both sides:6 m + 4 m + 7 = (4 m - 4 m) + 5
4 m - 4 m = 0:6 m + 4 m + 7 = 5
6 m + 4 m = 10 m:10 m + 7 = 5
Subtract 7 from both sides:10 m + (7 - 7) = 5 - 7
7 - 7 = 0:10 m = 5 - 7
5 - 7 = -2:10 m = -2
Divide both sides of 10 m = -2 by 10:(10 m)/10 = (-2)/10
10/10 = 1:m = (-2)/10
The gcd of -2 and 10 is 2, so (-2)/10 = (2 (-1))/(2×5) = 2/2×(-1)/5 = (-1)/5:Answer: m = (-1)/5
Answer:
-2/5
Step-by-step explanation:
3m + 7/2 = -2m + 5/2
3m + 7 = -2m + 5
5m = -2
m = -2/5
A rectangular floor is 5 yards long and 4 yards wide. What is the area of the floor in square feet?
Answers
Final answer:
To calculate the area of the floor in square feet, the dimensions in yards are first converted to feet (1 yard = 3 feet), and then the length and width in feet are multiplied to get the area (15 feet x 12 feet = 180 square feet).
Explanation:
The student is asking about the area of a rectangular floor in square feet when the dimensions given are in yards. To find the area of the floor, we first convert the measures from yards to feet, knowing that 1 yard equals 3 feet. Therefore, the rectangular floor measures 5 yards long (which is 5 x 3 = 15 feet long) and 4 yards wide (which is 4 x 3 = 12 feet wide).
Now we can calculate the area by multiplying the length by the width. The area in square feet is thus 15 feet x 12 feet = 180 square feet.
What is the value of 4 in the number 358.547? please help!!!!!
A) 0.0004
B) 0.004
C) 0.04
D) 4
Which choice solves the problem?
1467÷7=
A) 27
B) 29 with a remainder of 4
C) 207 with a remainder of 4
D) 209 with a remainder of 4
Bailey’s horse is growing fast. She ate 2 scoops of feed in the morning, 4 scoops in the afternoon and 3 scoops at night. She did this all week long. How many scoops of feed did Bailey’s horse eat over the course of the week?
A) 2 x 3 x 4
B) 2 x (3 + 4)
C) 2 + 3 + 4 + 7
D) (2 + 3 + 4) x 7
Answers
Number 2 is D (you can just do that on the calculator)
Number 3 is D because you would add the number of scoops he ate in one day and multiply by 7 since there are 7 days in a week
number 2:d
number 3:d
Explain why the relationship between how much steven charges and time is a promotioninal relationship
Answers
unless you meant, proportional.
say for example Steve charges $5 per hour doing some work, in 1 hr, he chargers 5 bucks, in 2 hours, 10 bucks, in 3 hours 15 bucks and so on.
the amount being charged, is increasing by a proportion of 5:1, for every 1 hour, 5 bucks, so is a direct proportional variation type of relation.
In circle Y, what is m∠SZT? 86° 94° 108° 128°
Answers
If that is your shape, this is simple:
First, you need to solve for the angle TZU. The formula for it is:
mTZU= 0.5(arcTU+arcSR)
mTZu= 0.5(72°+100°) = 86°
Vertical angles, as you should know, are congruent. Always. mTZU is a vertical angle to mSZR. This means mSZR is also 86°
Now, the sum of all angles should be 360°. Now you need to know the remaining angles, you can do this by:
360° - 86° - 86° = 188°
Now, last step. Since mSZR is also equal to RZU because they are vertical angles, this means you need to divide 188° by 2.
188°/2 = 94°
Your answer: m∠SZT = 94°
~Hope this helps!
Answer:
It's 94
Step-by-step explanation:
HELP NEEDED IN MATHS
Answers
-2q=16-30
-2q=-14
q=7
Let k(t) be a measure of the knowledge you gain by studying for a test for t hours. which do you think is larger, k(8) − k(7) or k(3) − k(2)
Answers
To determine which is larger between k(8) - k(7) and k(3) - k(2) , compare the specific values. If the graph of k(t) is concave upward, studying more hours yields a larger knowledge increase.
To determine which is larger between k(8) - k(7) and k(3) - k(2) , and to understand the concavity of the graph of k(t) , consider the following:
1. Larger Increase in Knowledge:
- Evaluate k(8) - k(7) and k(3) - k(2) .
- If k(8) - k(7) is greater, it implies that studying for an additional hour (from 7 to 8 hours) provides a larger increase in knowledge than studying for an hour from 2 to 3 hours.
2. Concavity of the Graph:
- If k''(t) > 0 (second derivative is positive), the graph is concave upward.
- If k''(t) < 0 (second derivative is negative), the graph is concave downward.
3. Reasoning for Concavity:
- If the graph is concave upward, it suggests that the rate of knowledge gain is increasing. Studying more hours leads to a larger increase in knowledge.
4. Final Answer:
- The comparison between k(8) - k(7) and k(3) - k(2) depends on the specific function k(t) . As for concavity, if the graph is concave upward, studying more hours yields a larger increase in knowledge.
In summary, compare the specific values k(8) - k(7) and k(3) - k(2) and analyze the concavity of the graph to determine the relationship between studying hours and knowledge gain.
Question. Let k(t) be a measure of the knowledge you gain by studying for a test for t hours, . Which do u think is larger, k(8)-k(7) or k(3) - k(2) ? is the graph of k concave upward or concave downward? why?
What is cultural imperialism?
the impact of a nation’s culture on its trade policies
the imposition of a foreign culture on a nation’s population
the impact of culture on people’s buying and spending habits
the spread of foreign culture through immigrants from various nations
Answers
Answer:
The correct answer is : B) the imposition of a foreign culture on a nation's population.
Step-by-step explanation:
Cultural imperialism shows the cultural aspects of imperialism that is a culture being imposed on other countries.
And imperialism can be defined as maintaining the unequal relationships between civilizations.
So, the correct answer is : B) the imposition of a foreign culture on a nation's population.
Banks and other financial institutions sometimes calculate simple interest based on
Answers
mr. john doe was figuring out his federal income tax.his income tax is 26,800, but he was able to subtract 5,000 in deducations he paid 15% of the remaning income tax . how much did he pay
Answers
subtract 5ooo from 26800
26800 - 5000 = 21800
now multiply that by 15%
15% = 0.15
21800 * 0.15 = 3270
he paid $3,270 in taxes
Heather, Chang, and Justin served a total of 93 orders Monday at the school cafeteria. Chang served 2 times as many orders as Justin. Heather served 5 more orders than Justin. How many orders did they each serve?
Answers
93 = (x) + (2x) + (x + 5)
Simplify the equation:
93 = 4x + 5
Subtract 5 from both sides:
88 = 4x
Divide 4 on both sides:
22 = x
Solve for the orders:
x = 22 = Justin
22(2) = 44 = Chang
22 + 5 = 27 = Heather.
Hope this helps!
Then H+C+J=93.
C=2J
H=J+5
Find H, C and J.
Let's eliminate C. Substitute 2J for C in H+C+J=93: H+2J+J = 93
Now let's eliminate H: Subst. J+5 for H in this last equation:
J+5 + 2J + J = 93 => 4J + 5 = 93 => 4J = 88.
Thus, J = 88/4 = 22.
J handles 22 orders.
H handles 22+5 (or 27) orders.
C handles the rest: 2(22) (or 44) orders.
Check: do the numbers 22, 27 and 44 add up to 93, as they must? Yes.
The cost of having a package delivered has a base fee of $9.70. Every pound over 5 lbs cost an additional $0.46 per pound. Write a linear model that represents the cost, C, for the total weight, w, in pounds of the package. Assume w > 5 lbs.
a. C = 9.7w + 0.46
b. C = 0.46w + 12
c. C = 0.46w + 9.7
d. C = 0.46(w - 5) + 9.7
Answers
Answer:
d. C=0.46(w-5)+9.7
Step-by-step explanation:
the cost of having a package delivered has a base fee of $9.70, that means that independently of the pounds of the package, the cost is always going to be $9.70
Then, there is an additional cost, that just count if the package have more than 5 lbs. Every pound over this 5 lbs, cost $0.46 per pound. So, the additional cost is:
0.46*(w-5)
Where (w-5) are the number of pound that over 5 lbs.
Finally the total cost is the sum of the base cost and the additional cost, that can be written as:
C=0.46*(w-5)+9.7
Answer:
It is D.
Step-by-step explanation:
took the assessment.
What is the slope, m, and the y-intercept of the line that is graphed below?
Answers
m=1 ; y intercept is (0,3)
Answer: The correct option is
(A) m = 1; (0, 3).
Step-by-step explanation: We are given to find the slope, m, and the y-intercept of the graphed line.
We know that
the slope of a line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
From the graph, we note that the line passes through the points (-3, 0) and (-1, 2).
Therefore, the slope of the graphed line will be
[tex]m=\dfrac{2-0}{-1-(3)}=\dfrac{2}{2}=1.[/tex]
Also, at x = 0, the value of the y-coordinate is 3. So, the y-intercept of the line is (0, 3).
Thus, the slope, m = 1 and the y-intercept is (0, 3).
Option (A) is CORRECT.
An amount of $31,000 is deposited in a bank that pays interest at the rate of 4%/year, compounded annually. what is the total amount on deposit at the end of 6 years, assuming there are no deposits or withdrawals during those 6 years? (round your answer to the nearest cent.)
Answers
A = P (1+0.04)^t becomes A = $31000(1.04)^6, or
A = $39224.89. Pretty good deal?
The total amount on deposit at the end of 6 years if an amount of $31,000 is deposited in a bank that pays interest at the rate of 4% per year, compounded annually is $38440.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
The principal amount, P = $31000,
The time, t = 6 years,
The rate of interest, r = 4% per annum,
Calculate the simple interest by the formula given below,
[tex]SI = P\times r\times t / 100[/tex]
SI = 31000 × 4 × 6 / 100
SI = $7440,
Calculate the by the formula given below,
[tex]Total \ amount = P + SI[/tex]
Total amount = $31000 + $7440
Total amount = $38440
Therefore, the total amount on deposit at the end of 6 years if an amount of $31,000 is deposited in a bank that pays interest at the rate of 4% per year, compounded annually is $38440.
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Which of the following are valid names for the given triangle below? Check all that apply.
Answers
Answer:
Triangle LMZ
Triangle MLZ
Triangle ZML
Step-by-step explanation:
Option A,B and E are all the valid names.
The valid names of the triangle are those that has all the angles withing. The angles are Angle l, M and Z.
C and D are not angles, so any triangle cannot be formed using these.
Hence, the valid triangles here are:
Triangle LMZ
Triangle MLZ
Triangle ZML
Answer:
LMZ,ZML,MLZ
Step-by-step explanation:
What is the correct solution for the arithmetic expression 2+8/2*9/3 using the order of operations employed by oracle10g when solving equations?
Answers
Using order of operations, you will solve what is in the parenthesis first.
10 / 2 * 9 / 3
Then you divide.
5 * 3
Then you multiply.
5 * 3 = 15
Hope this helps!
Arithmetic expressions involve several arithmetic operations
The correct solution of [tex]\mathbf{2 + \frac 82 \times \frac 93}[/tex] is 14
The expression is given as:
[tex]\mathbf{2 + \frac 82 \times \frac 93}[/tex]
Divide 8 by 2
[tex]\mathbf{2 + \frac 82 \times \frac 93 = 2 + 4 \times \frac 93}[/tex]
Divide 9 by 3
[tex]\mathbf{2 + \frac 82 \times \frac 93 = 2 + 4 \times 3}[/tex]
Multiply 4 by 3
[tex]\mathbf{2 + \frac 82 \times \frac 93 = 2 + 12}[/tex]
Add 2 and 12
[tex]\mathbf{2 + \frac 82 \times \frac 93 = 14}[/tex]
Hence, the correct solution of [tex]\mathbf{2 + \frac 82 \times \frac 93}[/tex] is 14
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How many ways can a person with five nickels, three dimes, and two quarters make a 75-cent purchase from the machine?
Answers
Find the quotient 5/18 divided by 2/6
Answers
To divide fractions, multiply the first fraction by the reciprocal of the second fraction and simplify if possible.
Explanation:To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is found by switching the numerator and denominator. So, to divide 5/18 by 2/6, we will multiply 5/18 by 6/2.
First, we cancel out any common factors between the numerators and denominators:
5/18 * 6/2 = (5 * 6)/(18 * 2) = 30/36.
Now, we can simplify 30/36 by finding the greatest common divisor (GCD) of 30 and 36, which is 6.
Dividing both the numerator and denominator of 30/36 by 6, we get the final quotient of 5/6.
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In the diagram, what is the value of x
Answers
The sum of angles on a straight line is 180degrees. The measure of the value of x from the figure is 98degrees
Sum of angle on a straight lineThe measure of angles 82 degrees and the unknown are on a straight line, Since the sum of angles on a straight line is 180degrees, hence;
x + 82 = 180
Subtract 82 from both sides
x + 82 - 82 = 180 - 82
x = 180 - 82
x = 98 degres
Hence the measure of the value of x from the figure is 98degrees
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Point A has a _____ abscissa and a _____ ordinate.
positive, negative
negative, positive
negative, negative
positive, positive
Answers
Answer:
Negative,Positive
Step-by-step explanation:
The coordinate geometry, plane is divided into four parts and each part is known as quadrant. The abscissa denotes the point lies on X- axis whereas ordinate denotes the point on Y-axis.
Since the point A lies in second quadrant. In second quadrant, abscissa is negative and ordinate is positive because here x lies to left of x axis and y lies to right of y axis.
Thus, the correct answer is option (2)
Katie earned $1200 in 8 years on an investment at a 6% annual simple interest rate. How much was Katie’s investment?
$945
$2500
$4500
$9000
Answers
Time = 8 yer a
Rate = 6% = 0.06
Interest earned = $1200
Simple Interest
Let P = the principal (the investment)
Then
P*8*0.06 = 1200
0.48P = 1200
P = 1200/0.48 = $2500
Answer: $2500
56 books 75% decrease
Answers
Alisa hopes to play beach volleyball in the olympics someday. She has convinced her parents to allow her to set up a beach volleyball court in their backyard. A standard volleyball court is 26 feet by 52 feet. She figures she will need the sand to be one foot deep.
Sand a is 60 lbs for $5
Sand b is 150 lbs for $12
A. What's is the rate brand a is selling for? Give rate and then specify the unit rate.
B.Which brand is offering the better value? Explain.
Answers
The unit rate is dollars per pound.
Sand a: $5/(60 lb) = 0.08333 $/lb
Sand b: $12/(150 lb) = 0.08 $/lb
A. Sand a is 0.08333 $/lb
B. Sand b is $0.08 $/lb
Sand b has a lower unit rate.
Sand b is is the better value.
If you buy the same amount of sand a and sand b, you will spend less money per pound of sand by buying sand b.
Brand A is selling the sand at a rate of $0.0833 per pound, which is a slightly better value compared to brand B's rate of $0.08 per pound.
Explanation:A. To find the rate at which brand A is selling the sand, we need to calculate the cost per pound. The rate for brand A is $5 for 60 lbs. To find the unit rate, we divide the cost by the amount, which gives us $5 / 60 lbs = $0.0833 per lb.
B. To determine which brand is offering the better value, we compare the unit rates. Brand A has a unit rate of $0.0833 per lb, while brand B has a unit rate of $12 / 150 lbs = $0.08 per lb.
Therefore, brand A is offering a slightly better value since it has a lower unit rate.
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estimate the answer to: 3772 divided by 44
Answers
What are the slope and the y-intercept of the linear function that is represented by the table?
Answers
Answer:
The answer is D.
Step-by-step explanation:
I got it correct on my test.
Correct me if I'm wrong.
whats the cubed root 64/343
Answers
4/7
Hope this helped! ☺♥
stacy says the 4 in 643 has a value of 4 tens or 40 do you agree with stacy reasoning explain use picture,words or number in your answer.
Answers
Final answer:
Stacy is correct in saying that the 4 in 643 has a value of 4 tens or 40, as numbers can be broken down by place value, with each digit representing a different value depending on its position.
Explanation:
I do agree with Stacy's reasoning. The number 643 can be broken down into its place values: the 6 is in the hundreds place, representing 600; the 4 is in the tens place, representing 40; and the 3 is in the ones place, representing 3. Therefore, the value of the 4 in 643 is indeed 4 tens, or 40, as Stacy has indicated.
To visualize this, imagine the number 643 written on a place value chart:
Hundreds: 6
Tens: 4
Ones: 3
This confirms that the digit 4 in the tens place contributes 40 to the overall value of the number 643.
You are sailing from your lakeshore cabin to a marina 60º north of east and 0.5 miles across the lake.
Which of the following expressions uses the complementary angle of 60° to determine how far you would travel on your trip west?
a.
0.5cos30°
b.
0.5cos60°
c.
0.5sin30°
d.
0.5sin60°
Answers
Answer:- c. 0.5sin30°
Explanation:-
Let AB= 0.5 miles be the distance across the lake to 60º north of east.
AC= distance travel to the east
Now, in right ΔABC
[tex]sin60^{\circ}=\frac{AC}{AB}\\\\\Rightarrow\ AB=ACsin60^{\circ}\\\Rightarrow\ AB=0.5\ sin60^{\circ}[/tex]
Now Distance towards west [tex]AD=|\ -0.5\ sin60^{\circ}|[/tex] [distance is a positive quantity]
[tex]AD=0.5\ sin60^{\circ}[/tex]
[tex]AD=0.5\ cos(90^{\circ}-60^{\circ})[/tex] [Taking complementary angle of 60° ]
[tex]AD=0.5\ cos(30^{\circ})[/tex]
Thus C. is the right option.
Answer:
the answer is C.
Step-by-step explanation:
Use counters to find the quotient and remainder for 36 divide a by 8
Answers
Identify the slope and y-intercept of the graph of the equation. y = 1/4x + 3
A slope: 1/4 ; y-intercept: 3
B slope: 1/4; y-intercept: –3
C slope: 4; y-intercept: 3
D slope: 4 ; y-intercept: –3
Answers
Fun.
So the equation: y = 1/4x = 3 is in slope-intercept form where, y = mx + b.
'm' is the slope and 'b' is the y-intercept.
Knowing this, we can easily conclude that Choice A is the correct answer.
Why?
Well, just look below.
y=1/4x + 3
y = mx + b
We simply match up the values with the slope-intercept formula and see that 3 falls under the y-intercept category, and m, which always equals slope is replaced by 1/4.
Thus, A is the correct choice.
Final answer:
The slope of the equation y = 1/4x + 3 is 1/4 and the y-intercept is 3, corresponding to option A: slope: 1/4 ; y-intercept: 3.
Explanation:
To identify the slope and y-intercept of the equation y = 1/4x + 3, we can compare it to the general form of the slope-intercept equation for a line, which is y = mx + b. In this form, m represents the slope of the line, and b represents the y-intercept of the line. Thus, looking at the given equation, the coefficient of x (which is 1/4) is the slope, and the constant term (which is 3) is the y-intercept.
The correct answer is:
Slope: 1/4Y-intercept: 3Therefore, the answer is option A: slope: 1/4 ; y-intercept: 3