The point A(-6,6) is reflected over the point (0,7) and its image is point B. What are the coordinates of point B?
Answers
============================================================
Explanation:
Let's label (0,7) as point C.
Plot points A and C on the same coordinate system.
Note that to go from A to C, we must do two things (in either order)
go up 1 unitgo to the right 6 unitsThese two items will be replicated in either order to go from point C to point B.
The translation rule we follow is [tex](x,y) \to (x+6, y+1)[/tex] which is a mathematical way of saying "go right 6 and up 1". If we plug in x = -6 from point A we get to x = 0 which is the x coordinate of point C. Repeating this leads to x = 6, which is the x coordinate of point B.
Through similar arguments, we go from y = 6, to y = 7, to y = 8, when we hop from points A, to C, to B in that exact order.
Put everything together and we see that B is located at (6,8)
The diagram below provides a visual summary.
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Extra info:
If we draw a line from point A to B, then point C will be on this line. Furthermore, AC = CB which can be proven using congruent triangles. Reflections preserve distance, meaning the distance from A to the mirror point C, is the same as from B to C as well. In short, we can say C is the midpoint of segment AB.
Related Questions
What is the value of 2/13÷2/3
Answers
Answer:
[tex]\frac{2}{13}/\frac{2}{3}\\ \frac{2}{13}*\frac{3}{2}\\\frac{3}{13}[/tex]
Step-by-step explanation:
The weights, in ounces, of three different packages of cookies are listed below. Which list shows these weights in order from least to greatest? A 7.25, 7 1 7 , 7.7 B 7 1 7 , 7.25, 7.7, C 7.25, 7.7, 7 1 7 , D 7 1 7 , 7.7, 7.25
Answers
Answer: C. 7.25, 7.7, 7 1 7
Step-by-step explanation:
From the question, we are given the weight , in ounces, of three different packages of cookies and we are told to arrange them in ascending order that is, from the least to the greatest.
The least of the numbers is 7.25. After then we have 7.7 and the greatest is 717. Therefore this can be arranged as:
7.25, 7.7, 7 1 7
Therefore, the correct option is C.
Select all the correct graphs.
Choose the graphs that indicate equations with no solution.
Answers
Answer:
The first and last graph.
General Formulas and Concepts:
Algebra I
Solving systems of equations graphicallyStep-by-step explanation:
In order for a systems of equations to have a solution set, the 2 graphs must intersect at at least 1 point. Here, we see that graphs 1 and 5 do not intersect each other at all.
Therefore, the rest of the graphs have solutions and #1 and #5 do no have any solutions.
Dionne can fold 175 packing boxes in 50 minutes. Elias can fold 120 packing boxes in 40 minutes. Who has the faster folding rate?
Answers
Answer:
Dionne :)
Step-by-step explanation:
A square is dilated by a scale factor of 2. Explain how the scale factor would affect the area and perimeter of the square.
Answers
Answer:
its 77
Step-by-step explanation:
PLEASE help find measure of angle - TEst review today
Answers
Answer:
alternate exterior angles and lines are parallel so
10x is congruent to 11x-8
second question
alternate interior angles and lines are paralles so angles are congruent
PLEASE HELP MEEE!!!!!!
Answers
help me out guys :[ aaaaaaaaa
Answers
Answer:
this is explaining how to do it, you need to isolate the variable so you need to substract or add so that she is alone.
Step-by-step explanation:
Answer:
jytytuiyi
Step-by-step explanation:
3rgrrf
Find a point-slope form for the line with slope 1/5 and passing through the point (-4,-9).
Answers
Answer:
y + 9 = [tex]\frac{1}{5}[/tex](x + 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = [tex]\frac{1}{5}[/tex] and (a, b) = (- 4, - 9) , thus
y - (- 9) = [tex]\frac{1}{5}[/tex](x - (- 4) ) , that is
y + 9 = [tex]\frac{1}{5}[/tex](x + 4)
9. y + 7 = 2(x + 5)
in standard form
Answers
Answer:
y=2x+3
Step-by-step explanation:
1. y+7=2(x+5) (rewrite the problem)
2. y+7=2x+10 (distribute the 2)
3. y=2x+3 (subtract 7 from both sides; 10-7=3)
Mr. Smith'a cell phone service cost $60 per month plus $0.10 for each minute (m) of long-distance calls. His bills for September was $85. How many long distances minutes did he use?
Answers
25 / .10 = 250 minutes
He used 250 long distance minutes in September
Test your PEMDAS
6+8/2(2+2)
This one is tricky
Answers
Answer:
6+8÷2×4
6+16
=22
Step-by-step explanation:
add the numbers
calculate the new expression
add the numbers
Answer: hint use pemdas
Step-by-step explanation:
1. A set of weights includes a 5 lb barbell and 8 pairs of weight plates. Each pair, p,
weights 10 lbs. If x pair of weight plates are added to the barbell, the total weight of the
barbell in pounds can be represented by the function
f(x) = 10x + 5. What is a reasonable range of the function in this situation?
Answers
Answer:
5 <= y <= 85
Step-by-step explanation:
Since the lowest weight possible is 5lbs (just the barbell and no weights) the lowest point of the range is 5lbs (the y intercept when x = 0)
The highest weight possible is 85lbs since, there is only 8 pairs of weight plates (8 is the input value) and the pairs each weigh 10lbs (the slope of the graph) + 5lbs from the barbell (y-intercept).
Using the function given, if you input 8 as the x value, you get
85 = 10(8) + 5
So the highest value of the range is 85lbs, therefore the range is 5 <= y <= 85.
Two trains leave stations 324 miles apart at the same time and travel toward each other. One train travels at 100 miles per hour while the other travels at 80 miles per hour. How long will it take for the two trains to meet? Do not do any rounding.
Answers
Answer: The first train gets to the station in 3 hours 14 minutes, and 40 seconds if it is a consent speed of 100 mph The second train gets to the station in 4 hours and 3 minutes if it is a consent speed of 80 mph, so they would meet in 4 hours and 3 minutes.
Step-by-step explanation:
I need help with this
Answers
Answer:
DE=17
Step-by-step explanation:
Write the linear equation in slope intercept form (-2,-4) and (-3,-3)
Will mark BRAINLIEST and give 50 points
Answers
Answer:
get from (4,1) to (2,9) go up 8 and over 2 left (-2) - (4 - 2, 1 + 8), do this again (2 - 2, 9+8) and end up at (0,17) which is the y how do you change 7x+3y=3 into slope intercept form.
:D thanks :D
Dracula has 48 pieces of candy. He gave 1⁄3 of his candy to his friend and 25% of his candy to his cousin. How many pieces of candy does Dracula have left?
Please show your work.
Answers
Answer:
20
Step-by-step explanation:
1/3 of 48 is 16, and 25% of 48 is 12. 16 + 12 = 28.
48 - 28 = 20
HAVE A GREAT DAY!! :)
For a United Way fund-raising dinner, a total of 245 tickets were sold. Adult tickets sold for $6.50, and child tickets sold for $3.00. If $1410.50 worth of tickets were sold, how many adult and child tickets were sold?
Answers
Answer:
Adults =193
children=52
Step-by-step explanation:
Step one:
let the number of tickets adults be x
and the number of tickets children be y
x+y=245--------1
6.5x+3y=1410.5---2
Step two:
solve the system of equation using substitution
x+y=245
x=245-y
put x=245-y in equation 2 we have
6.5(245-y)+3y=1410.5
1592.5-6.5y+3y=1410.5
-6y+3y=1410.5-1592.5
-3.5y=-182
y=182/3.5
y=52
put y=52 in x=245-y
x=245-52
x=193
0.02+0.04+0.09+0.11+0.2+0.45=
PLZ HELP!!!!!!!!!!!!!!!!!
Answers
Answer:
0.91
Step-by-step explanation:
Answer: 0.91
Step-by-step explanation: 0.02+0.04+0.09+0.11+0.2+0.45
=0.06+0.09+0.11+0.2+0.45
=0.15+0.11+0.2+0.45
=0.26+0.2+0.45
=0.46+0.45
=0.91
am • an = am + n, where a is a real number and m and n are integers
Use the product of powers property to simplify the expression –2x3y4x2y3.
–2(xy)12
–2(xy)72
–2x6y12
–2x5y7
Answers
Answer:
it's D i just took it.
Step-by-step explanation:
Answer:
D. -2x^5y^7 on edge
Step-by-step explanation:
2+10= 12
True or False??
Just for points:)
Answers
Answer:
True thank you for the points
Answer:
true
Step-by-step explanation:
2+10=12
true. do i get the points?
Please help!! I’m stuck on this one haha
Answers
Answer:
Ready to help soon as we know what that "one" is
Answer:
hahaha where is the pic
Step-by-step explanation:
please help i will mark brainliest
Answers
Answer:
The coordinates of mage of L(5, 10) will be: (11, 3)
So, the 4th (last) option is correct.
Step-by-step explanation:
As we know that Translation means how much a point is moved to the left/right and up/down.
Given the translation maps the point J(1, 4) onto K(7, -3).As the x-coordinate of the image point K(7, -3) is 7 which is 6 units right to the original point J(1, 4).
Also, the y-coordinate of the image point K(7, -3) is -3 which is 7 units down to the original point J(1, 4)
so it means the translation basically implies that
(x, y) → (x + 6, y - 7)
Hence, the coordinate of the image of L(5, 10) can also be determined by
using the same rule.
(x, y) → (5 + 6, 10 - 7) = (11, 3)
Therefore, the coordinates of mage of L(5, 10) will be: (11, 3)
So, the 4th (last) option is correct.
for each graph below, state wether it represents a function.
Answers
Answers:
Row 1: No, No, No
Row 2: Yes, Yes, Yes
===============================
Explanation:
Use the vertical line test. If it is at all possible to draw a single vertical line through more than one point on the relation curve, then the relation is not a function. This is because a function is only possible when any x input leads to exactly one y output.
So that's why graphs 1,2,3 are not functions, while graphs 4,5,6 are functions.
HELP! Will mark brainliest asap!) List the steps from what you would do first, to last, to simplify by division.
1 split the problem into pieces
2 simplify the coefficient
3 simplify the variables using the rule of exponents
4 put each term in the numerator over the denominator
5 reduce the fractions
Answers
Answer:
3
2
1
4
5
Step-by-step explanation:
Not sure if I'm right cuz I might've learned how to do it differently. Hope this helped tho, Have a Wonderful Day/Night!!!
17. Let f(x) = 2x2 + 5x + 6 and g(x) = 3x2 + 4x – 10.
a Find f(x) + g(x)
b. Find f(x) – g(x)
Answers
Step-by-step explanation:
f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)
Combine like terms
5x^2 + 9x -4
f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)
Distribute the negative
(2x^2 + 5x +6) + (-3x^2 -4x + 10)
Combine like terms
-x^2 +x +16
f(x)-g(x)= (2x^2+5x-6)-(3x^2+4x-10)= 2x^2+5x-6 (-3x^2 - 4x +10)= -x^2 +x+4
Which ordered pairs are solutions to the inequailty 2x + y > -4
Select each correct answer
A) (-1, -1)
B) (5, -12)
C) (-3, 0)
D) (0, 1)
E) (4, -12)
Answers
Please help! Solve each system by elimination.
-x-3y- 3z= 16
-6x+3y+2z=-27
4x+6y+4z=-22
I will give brainliest to whoever shows steps!
Answers
Answer:
Step-by-step explanation:
-x-3y-3z=16
x=-3y-3z-16
-6x+3y+2z=-27
6x=3y+2z+27
x=3/6 y + 2/6 z +27/6
x=1/2y+1/3z+9/2
4x+6y+4z=-22
4x=-6y-4z-22
x= -6/4y -4/4 z -22/4
x=-3/2y -z-11/2
Answer:
(x, y, z) = (2,-3,-3)
Step-by-step explanation: 4x+6y+4z = -22 Divide both sides by = 2x + 3y+2z= -11
To solve the system , rewrite it as two systems each consisting of two equations.
1) {-x-3y-3z = 16} {-6x+3y+2z = -27}
2) {-x-3y-3z=16} {2x+3y+2z=-11}
Solve the system of equations
1) -7x-z=-11
2)x-z=5
Write as a system of equations
{-7z-z=-11} {x-z=5}
Solve the system of equations
z = -3
x= 2
Substitute the given value of z, x into the equation : -x-3y-3z = 16
-2-3y-3x(-3)= 16
Solve for Y
y= -3
A jeweler has a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 20 grams. How much gold, in grams, would it take to make 7 bracelets and 9 necklaces? How much gold, in grams, would it take to make b b bracelets and n n necklaces?
Answers
Solve the compound interest problem. $3425 is invested at %7.5 compounded monthly for years. a. Find the overall amount. b. Find the compound interest.
Answers
Complete question :
Solve the compound interest problem. $3425 is invested at %7.5 compounded monthly for 2 years. a. Find the overall amount. b. Find the compound interest.
Answer:
$3977.425 ; $552.425
Step-by-step explanation:
Given that:
Principal (P) = $3425
Rate (r) = 7.5% = 0.075
Time(t) = 2 years
A = p(1 + r/n)^nt
r = rate
n = number of times compounded per year
t = time in years
A = final amount
A = 3425(1 + 0.075/12)^12*2
A = 3425(1 + 0.00625)^24
A = 3425(1.00625)^24
A = 3425(1.1612920)
A = $3977.4251
Hence, overall amount = $3977.425
Compound interest = $(3977.425 - 3425) = $552.425
