Answers
I'll do part (a) to get you started. Part (b) will follow the same sort of steps.
In part (a), we have these two points
A = (-3,2)B = (3,8)You can call the points any letters you want. Let's find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (8-2)/(3-(-3))
m = (8-2)/(3+3)
m = 6/6
m = 1
The slope of line AB is 1.
The mirror line will have the negative reciprocal of this slope, so the slope of the mirror line is -1. In other words, the mirror line slope is perpendicular to line AB. We'll use this perpendicular slope later.
-------------------------------------------
Next, we find the midpoint of segment AB
Average the x coordinates to get (x1+x2)/2 = (-3+3)/2 = 0/2 = 0
Repeat for the y coordinates: (y1+y2)/2 = (2+8)/2 = 10/2 = 5
The midpoint of AB is (0,5)
-------------------------------------------
The mirror line will have two defining traits
The slope of the mirror line is m = -1The mirror line goes through the midpoint (x,y) = (0,5)So,
y = mx+b
y = -1x+b ... plugging in that perpendicular slope
5 = -1*0+b .... plugging in (x,y) = (0,5)
5 = 0+b
b = 5
The equation of the mirror line is y = -x+5 as shown in the diagram below. The mirror line is shown in green. Point D isn't important as it's just used to help set up the 90 degree angle.
This wraps up part (a) and I'll let you handle part (b). If you're stuck, then feel free to ask.
Related Questions
Aaron has 15 books to put on shelves. He wants to put the same number of books on each shelf. Which of the following lists shows all of the choices for how many books to put on each shelf?
Answers
Answer:
3 books on each shelf
5 books on each shelf
Step-by-step explanation:
A well-defined collection of objects is called a set.
True or false
Answers
Answer:
true
Step-by-step explanation:
can someone give an explaination please
Answers
Answer:
x ≥ -3
x ≤ 3
Step-by-step explanation:
For the first inequality, just add 3 to both sides.
For the second inequality, add 4 to both sides then divide both sides by 3.
Which of the following is a terminating decimal?
Answers
I need help plz:////
Answers
Answer:
36 inch = 3 feets
72 inch = 6 feets
144 inch = 12 feets
Step-by-step explanation:
Find the next term and the nth term in each of the following sequences (a) 27, 20, 13, 6, -1,
Answers
Answer:
-8
Step-by-step explanation:
27-7=20
20-7=13
13-7=6
6-7= -1
-1-7= -8
A recipie for homemade modeling clay includes 1/3 cup salt for every cup of water. Identify the constant of proportionality
Answers
Plssssss help me ASAP!!!!!
Answers
Answer:
6
Step-by-step explanation:
plug in 8 for all p so 4^2 = 16 / 8 x 3 ---> 2 x 3 = 6
two candles, each initial length of 30cm, are 20cm apart. the thinner candle burns at a rate of 1cm every 8 minutes and the other candle burn at a rate of 1 cm every 10 minutes. find two possible lengths for the distance between the tops of the two candles, if the candles can burn up for 3 hours.
Answers
Thinner candle:
y = length of the candle
x = rate it burns at every minute
y = -1/8x + 30
Thicker candle:
y = length of the candle
x = rate it burns at every minute
y = -1/10x + 30
To find the length after 3 hours:
y = -1/8(180) + 30
y = -1/10(180) + 30
What number can replace c
Answers
Answer:
3
Step-by-step explanation:
Factor Completely.
25z^2 − 36w^2
Answers
Answer:
(5z-6w)(5z+6w)
Step-by-step explanation:
Hi there!
We're given the expression 25z²-36w² and we want to factor it.
The expression written as a difference of squares. The difference of squares is given as a²-b²=(a-b)(a+b)
Let's label the values of what is a² and b², and then try to determine what a and b are from that information
[tex]a^{2}=25z^2\\b^2=36w^2[/tex]
Alright then! Let's square root both sides to find what a and b are
[tex]\sqrt{a^2}=\sqrt{25z^2[/tex]
Which then means:
a=5z
And then for b:
[tex]\sqrt{b^2}=\sqrt{36w^2}[/tex]
b=6w
Now substitute those values into the formula
a²-b² = (a-b)(a+b)
[tex]25z^{2}-36w^2=(5z-6w)(5z+6w)[/tex]
Hope this helps!
-5v+3(-8v-2)=3v-38
Plz show the steps I don’t understand
Answers
why is x^4 the largest perfect square of x^5
Answers
Answer:
Step-by-step explanation:
Because x^5 has 5 members. When you group them into 2 members each, there is one x left over. This is most easily seen if you try it with numbers.
The clearest way is to pick something that is not a perfect square to start with.
6 * 6 * 6 * 6 * 6
6^2 is a perfect square. It is grouped into 2 groups. Each one is a 6
So 6^2 = 36. 36 is a perfect square.
You should note that 6 ^3 is not a perfect square. One of the 6s is unmatched and you get a fraction when you square root 6^3.
6 * 6 * 6 = 216. The square root of 216 is 14.697... which goes on forever.
6^4 is a perfect square.
6^4 = 1296 The square root of 1296 is 36.
b=1/4af solve for a
if u could answer this as fast as possible that would be great
Answers
Answer:
b/(1/4)(f)=a
Step-by-step explanation:
b=1/4af
b/(1/4)(f)=a
Answer:
[tex]b = \frac{1}{4} \times a \times f \\ multiply \: both \: side \: by \: \frac{4}{f} \\ b \frac{4}{f} = \frac{1}{4}a \times f \times \frac{4}{f} \\ \frac{b \times 4}{f} = a \\ thank \: you[/tex]
Come answer this question please
Answers
Answer:
You cannot combine -5x^2 and 2x.
Step-by-step explanation:
You cannot combine -5x^2 and 2x. They are not like terms
x^2 and x are not the same
For a moving object, the force acting on the object varies directly with the objects acceleration. When a force of 45 N acts on a certain object, the acceleration of the object is 9 m/s2. If the force is changed to 20 N, what will be the acceleration of the object.
Answers
Answer:
4m/s^2
Step-by-step explanation:
if 45N =9m/s^2
20N= x
20N*9m/S^2/45N
=4m/s^2
Your account has $235 in it before you write a check for $5, write a check for $62, and make a deposit of $30. What is the new balance?
Answers
suzie spent 3 1/2 hours at the beach. she spent 45 minutes playing in the sand and the rest of the time playing in the water. how much time did susie spend playing in the water?
Answers
Answer:
2 hours and 45 min
Explanation:
3 hours+30 minutes
subtract 30
3 hours
subtract 15
2 hours and 45 min
The product of a complex number and its complex conjugate is
a real number.
Answers
Answer:
Always
Step-by-step explanation:
I know this question is 3 weeks old, but for people in the future who need the answer.
plzz i need help i cant get it so im begin
Answers
Step-by-step explanation:
with what do you need help?
I hope we can help..
A firefighter training course is taking place in a high-rise building. The high-rise building where they practice is 48 stories high. If the emergency happens on the top floor and the firefighters have already gone 29 stories, how many stories do they still need to go?
Answers
Answer:
29 stories - 49 stories = number of stories they need to go
28 - 49 = 21
the answer is 21
they have 21 more stories to go
The number of stories they still need to go is 19 stories.
It is given that building is 48 stories high and when the emergency happens they have already gone to 29 stories.
We have to calculate the number of stories they still need to go.
What will be the value, if we subtract 2 from 4 ?
The value after subtracting will be 4 - 2 = 2.
As per the question ,
The total number of stories in building = 48
When emergency happens they have already gone 29 stories.
So ,
The number of stories they still need to go after the emergency happens can be calculated as ;
48-29 = 19
Thus , they still need to go 19 stories.
To learn more about subtraction click here ,
https://brainly.com/question/220101
#SPJ2
Write an equation for the following real life scenario.
Use "t" to represent your variable.
Jasmine's cell phone company charges her $35 a month for phone service plus 0.50 for each text message. Her
total bill for the month was $51.
Answers
Answer:
[tex]35+0.50t=51[/tex]
Step-by-step explanation:
Since the $35 is a one-time fee, 0.50 is the rate, t is the variable, and 51 is the total bill, we can form the equation:
[tex]35+0.50t=51[/tex]
Answer:
0.50t+35=51
Step-by-step explanation:
0.50 is the amount for each text message so it becomes 0.50t (0.50 × text message). This is added to the monthly cost which is 35 dollars (+35) the question wants an equation as the answer so (=51).
• Persevere in Problem Solving the difference between the solutions to the equation x = a is 30. What is a? Show that your answer is correct.
Answers
Answer: a=225
Step-by-step explanation:
[tex]a > 0\\\\x^2=a\\\\x^2-a=0\\\\(x-\sqrt{a} )(x+\sqrt{a}) =0\\\\\sqrt{a} -(-\sqrt{a} )=30\\\\2\sqrt{a} =30\\\\\sqrt{a} 15\\\\a=15^2\\\\a=225\\\\Proof:\\\sqrt{225} -(-\sqrt{225} )=2*\sqrt{225} =2*15=30\\\\[/tex]
Let’s try this one again.. I am putting 70 points up! Please help. Last problem that I NEED.
Answers
As an inequality, I’d say -6 ≤ x ≤ -1
As set notation, I’d say { x | -6 ≤ x ≤ -1 }, though some might say { x : -6 ≤ x ≤ -1 }
As an interval, I’d say [-6,-1] and you use the brackets because -6 and -1 are included.
The chart below shows the coordinates for the vertices of Quadrilateral DEFG. Quadrilateral DEFG undergoes a translation of 2 units to the right, resulting in Quadrilateral D'E'F'G'. What are the coordinates of the vertices for new quadrilateral?
Answers
The movement of a point along the coordinate geometry is referred to as translation. The coordinates of the vertices for new quadrilateral are:
[tex]D' = (3,2)[/tex]
[tex]E' = (8,3)[/tex]
[tex]F' = (4,5)[/tex]
[tex]G' = (10,6)[/tex]
Given that:
[tex]D = (1,2)[/tex]
[tex]E =(6,3)[/tex]
[tex]F = (2,5)[/tex]
[tex]G = (8,6)[/tex]
The rule of transformation for 2 units right translation is:
[tex](x,y) \to(x + 2, y)[/tex]
So, we have:
[tex]D' = (1+2,2)[/tex]
[tex]D' = (3,2)[/tex]
Using the above formula, the other coordinates are:
[tex]E' = (8,3)[/tex]
[tex]F' = (4,5)[/tex]
[tex]G' = (10,6)[/tex]
Hence, the coordinates of the vertices for new quadrilateral are:
[tex]D' = (3,2)[/tex]
[tex]E' = (8,3)[/tex]
[tex]F' = (4,5)[/tex]
[tex]G' = (10,6)[/tex]
Read more about translation at:
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what is the solution to -7+h=12?
please explain how you got the answer and if you get it right ill give brainlyest! ALSO 20 POINTS!!
Answers
Answer:
h = 19
Step-by-step explanation:
-7 + h = 12
=> h = 12 + 7 [Transferring (-7) to RHS by changing its sign]
=> h = 19
Answer:
h = 19
Step-by-step explanation:
[tex]-7+h=12[/tex]
Since -7 is a negative and we want to undo the number, add 7 to -7 and 12
[tex]h=12+7[/tex]
[tex]h=19[/tex]
The selling price of a refrigerator, is $638.00. If the markup is 10% of the dealer's cost, what is the dealer's cost of the refrigerator?
Answers
Answer:
$421.74
Step-by-step explanation:
Given that x = 6 and y = 4 , find
3x + y
Answers
Hello :D
x = 6
y = 4
3x + y
3x = 18
y = 4
18 + 4 = 22
Hope this helps
What factors do 18 and 30 have in common?
Answers
Answer:
Factors for 18: 1, 2, 3, 6, 9, and 18.
Factors for 30: 1, 2, 3, 5, 6, 10, 15, and 30.
:)
Step-by-step explanation:
common factors are 1,2,3,6
Help me with this please
Answers
[tex] \text{Algebraic Representation: }(x,y) \to (4x,4y)[/tex]
The scale factor is [tex]4[/tex].
