Answer:
[tex]y = x[/tex]
Step-by-step explanation:
Given
[tex]A =(6,3.7)[/tex]
[tex]B = (5.4,2)[/tex]
[tex]C = (1,3)[/tex]
[tex]A' = (3.7, 6)[/tex]
[tex]B' = (2, 5.4)[/tex]
[tex]C' = (3, 1)[/tex]
Required
The equation for the line of reflection
Taking points A and A' as a point of reference:
[tex]A =(6,3.7)[/tex] and [tex]A' = (3.7, 6)[/tex]
First, calculate the midpoint (M)
[tex]M = (\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})[/tex]
[tex]M = (\frac{3.7+6}{2},\frac{6+3.7}{2})[/tex]
[tex]M = (\frac{9.7}{2},\frac{9.7}{2})[/tex]
[tex]M = (4.85, 4.85)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{6 - 3.7}{3.7 - 6}[/tex]
[tex]m = \frac{2.3}{-2.3}[/tex]
[tex]m = -1[/tex]
The midpoint of a reflection is always perpendicular to the points being reflected.
So, the slope of [tex]M = (4.85, 4.85)[/tex] is:
[tex]m_2 = -\frac{1}{m}[/tex]
[tex]m_2 = -\frac{1}{-1}[/tex]
[tex]m_2 = 1[/tex]
The equation is then calculated as:
[tex]y = m_2(x - x_1) + y_1[/tex]
Where:
[tex](x_1,y_1) = (4.85,4.85)[/tex]
[tex]y = 1(x - 4.85) + 4.85[/tex]
[tex]y = x - 4.85 + 4.85[/tex]
[tex]y = x[/tex]
Hence, the equation of line of reflection is:
[tex]y = x[/tex]
Answer:
c
Step-by-step explanation:
Jessica paid $23,000 for her car. The value of the car depreciates at a rate of 15% each year. Which function represents the value of her car each year?
A.
f
(
x
)
=
23,000
(
0.15
)
x
B.
f
(
x
)
=
23,000
(
15
)
x
C.
f
(
x
)
=
23,000
(
0.85
)
x
D.
f
(
x
)
=
23,000
(
1.15
)
x
Answer:
A
Step-by-step explanation:
15% = 15/100 = 0.15
so basically, A is the answer
Sunny has 3/5 yard of fabric and plans to cut it into
pieces that are each 2/10 yard. How many pieces will
she have?
Let p = the number of pieces Sunny will have.
Answer:3
Step-by-step explanation:
3/5 divided by 2/10=3
when a grizzly bear hibernates its heart rate drops to 10 beats per minute, which is 20% of its normal value.
question: what is a grizzly bear's normal heart rate when not hibernating?
__________ beats per minute.
Answer:
10 is 20% of 50.
50 beats per minute
What does to solve the equation x - 2 = 9 (hint: you would need to subtract 2) form both sides of the equation am I correct?
Answer:
I think the answer to X = 11.
Step-by-step explanation:
X - 2 = 9, correct?
11 - 2 = 9.
I hope this can help! Please correct me
if i got it wrong. :D
WHAT IS THE SLOPE-INTERCEPT EQUATION FOR THE COST OF A SUB AT FEDS SUB SHOP
a belt and a wallet cost $42.7 belts and 4 wallets cost $213.If the cost of a belt is $x and the cost of a wallet is $y, form two linear equations in x and y and solve them to find the cost of each item
hope it helps yah T-T
ADD THE EXPRESSIONS (-3/5n - 2 - 3t) + ( 5n + 4 - 1/2 t)
Answer:
22n/5-7t/2+2
Step-by-step explanation:
What is the slope of a line that goes through the points (10, -2) and (5,-5)? m =
Y1-Y2
11-12
Answer:
m = 3/5
Step-by-step explanation:
use the formula so m = -5 - -2 / 5 - 10 , so m = -5+2 / -5
m = -3/-5 so m = 3/5
how do i solve this question 2+3=8-4 ?
Answer:
5=4
Step-by-step explanation:
Please help asap will mark brainliest if right #32 points!
1a.) -5.36
Franco is requesting a group of negative numbers, so in this case, -5.36 is negative and would fall under that category.
1b.) 4.6272727
Mai is requesting the group to have repeating decimals, in this case, 4.62727 would work.
How many times larger is 6*10^ 7 than 3*10^ 6 ?
Answer:
20
Step-by-step explanation:
step 1: Evaluate the expressions
6*10^7 = 60,000,000
3*10^6 = 3,000,000
step 2: Devide
60,000,000 / 3,000,000 = 20
so 60,000,000 is 20 times larger than 3,000,000
Your teacher might want you to use a different method, but I believe this is the simplest way. If you have any questions feel free to ask away
Answer:
20
Step-by-step explanation:
[tex] \dfrac{6 \times 10^7}{3 \times 10^6} = \dfrac{6}{3} \times 10^{7 - 6} = 2 \times 10^1 = 20 [/tex]
question in the picture
c= 50+75t
it is less expensive to purchase the $750 software
Jason collected 40 postcards. Of these, 16 were from foreign countries. What percent were from foreign countries?
%
Answer:
40%
Step-by-step explanation:
Total no. of postcards = 40
No. of postcards from foreign countries = 16
Percentage of postcards from foreign countries = (16/40)*100
=40%
Need help because i can’t seem to figure it out
9514 1404 393
Answer:
y -10 = 1/8(x +8)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
You have m = 1/8, and (h, k) = (-8, 10).
Putting those numbers in the form gives ...
y -10 = 1/8(x -(-8))
You can simplify the double minus sign so you have ...
y -10 = 1/8(x +8)
_____
Additional comment
A lot of math is about matching patterns and making substitutions. This is a good example of that.
PLEASE HURRY!!!
An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which graph represents the solution to the inequality that finds the number of tickets the airline can still sell?
Everybody is saying its c but it says its wrong on edge 2021
Answer:
C
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
find the slope of the line that passes through (6, 3) and (10, 6)
Step-by-step explanation:
3/4
insert 1st point into y=mx+b
3=m(6)+b
insert 2nd point into y=mx+b
6=m(10)+b
-----------------------------------
use system of equations to solve for m and b
b=3-6m
b=6-10m
3-6m=6-10m
4m=3
m=3/4
insert back into the equation
3=(3/4)6+b
3=9/2+b
3-9/2=b
-3/2=b
insert back into y=mx+b
m=slope
b=y-intercept
y=(3/4)x-3/2
slope=3/4
Hope that helps :)
Answer:slope=3/4
Step-by-step explanation:
EASY EXTRA POINTS HELP ASAP WILL MARK BRAINLIEST
Answer:
it should be two
Step-by-step explanation:
I hope this helps!
What happens when a triangle is dilated using one of the vertices as the center of the dilation? Complete
the explanation.
The sides of the triangles adjacent to the center of dilation will be collinear. The third sides of the pre-
image and image will be ?
The vertex used as the center of dilation will be in
Answer:
The sides of the triangles adjacent to the center of dilation will be collinear. The third sides of the pre-
image and image will be “parallel”
The vertex used as the center of dilation will be in “the same location in both triangles”
Carlos created a drawer with an open top for a cabinet. The prism shown represents the drawer.
Which face of the net represents the open face of the prism?
A
В
С
D
Answer:
the answer is c
Step-by-step explanation:
Alex only keeps ten pence coins and some twenty pence coins in
his coin box. He has a total of 18 coins which amounts to £2.30.
Work out the number of ten pence coins and twenty pence coins
in Alex's coin box.
Answer:
In the box. we have 5 20 pence coins and 13 10 pence coins
Step-by-step explanation:
Let the number of 10 pence coins be x and the number of 20 pence coins be y
The sum of these numbers is 18
Thus;
x + y = 18•••••••(i)
Writing the value in pence only
£2.30 * 100 = 230 pence
Now we have that;
total 10 pence coin amount = 10 * x = 10x
Total 20 pence coin amount = 20 * x = 20y
10x + 20y = 230
x + 2y = 23 •••••••(ii)
from ii;
x = 23-2y
Substitute this into i
23-2y + y = 18
23-18 = 2y-y
y = 5
Recall;
x + y = 18
x + 5 = 18
x = 18-5
x = 13
plz help, i would really appriciate it :)
Answer: [tex]x^{2} +12x+20[/tex]
Step-by-step explanation:
h(x)= (x+10)(x+2)
^ It is this way because it is so the x value will equal -10 and -2.
Now, we just distribute it. if the question does not have any points it passes through described in the problem, then it is pretty self explanatory.
x^2 + 2x+ 10x+ 20
= [tex]x^{2} +12x+20[/tex]
Answer:
f(x) = A(x - 2)(x - 10),
where A is real and A= 20.
Step-by-step explanation:
if I'm wrong I am so very sorry
Which fraction is equivalent to
-3/2?
Answer:
-1 1/2 if you need a mixed number then choose -1 1/2
Answer: There are many possible fractions, here is all of them.
-3/2 = -6/4 = -9/6 = -12/8
= -15/10 = -18/12 = -21/14 = -24/16
= -27/18 = -30/20 = -33/22 = -36/24
= -39/26 = -42/28 = -45/30 = -48/32
= -51/34 = -54/36 = -57/38 = -60/40
= -63/42 = -66/44 = -69/46 = -72/48
= -75/50 = -78/52 = -81/54 = -84/56
= -87/58 = -90/60 = -93/62 = -96/64
= -99/66 = -102/68 = -105/70 = -108/72
= -111/74 = -114/76 = -117/78 = -120/80
= -123/82 = -126/84 = -129/86 = -132/88
= -135/90 = -138/92 = -141/94 = -144/96
= -147/98 = -150/100 = -153/102 = -156/104
= -159/106 = -162/108 = -165/110 = -168/112
= -171/114 = -174/116 = -177/118 = -180/120
= -183/122 = -186/124 = -189/126 = -192/128
= -195/130 = -198/132 = -201/134 = -204/136
= -207/138 = -210/140 = -213/142 = -216/144
= -219/146 = -222/148 = -225/150 = -228/152
= -231/154 = -234/156 = -237/158 = -240/160
= -243/162 = -246/164 = -249/166 = -252/168
= -255/170 = -258/172 = -261/174 = -264/176
= -267/178 = -270/180 = -273/182 = -276/184
= -279/186 = -282/188 = -285/190 = -288/192
= -291/194 = -294/196 = -297/198 = -300/200
Step-by-step explanation:
If you have any questions feel free to ask
Please answer this for me ✨✨
Answer:
reflection
Step-by-step explanation:
Im just learned this so if I'm wrong, i'm sorry >.<
Answer: rotation
Step-by-step explanation:
A bag of apples weighs 8 4 10 pounds. A crate of bananas is 5 times as heavy as the apples. How much heavier are the bananas than the apples?
La mamá de Cornelio va a repartir un pastel entre él y sus 5 amigos ¿Qué cantidad de pastel le tocará a cada quién?
Answer:
each will get 1 peace. Cada uno le tocara un pedaso
Step-by-step explanation:
Mi tía quiere decorar con baldosas cuadradas de 25 cm de lado, una pared rectangular del patio que mide 3,5 m de ancho y 5,8 m de largo. ¿Cuántas baldosas necesitará para hacer el decorado?
Answer:don’t understand
Step-by-step explanation:
what is (2m+8y)+(4+9m)+(-2 -3
4= –6 + v
Help please
Answer:
to find V in this equation
4 = -6 + V
V = 10
hope it helps
Answer:
V would have to be equal to 10
Step-by-step explanation:
this is because you need something greater than 6 to get back to zero and then you need something to give you four more, so six plus four is equal to ten
The circumference of a steering wheel is 19.8in. What is the radius
A. 3.2
B. 1.3
Please!!!! Help!!!! this a important test
I will mark you brainliest
If i get the correct answer Please!!!!
Answer:
A. 3.2
Step-by-step explanation:
Given
Circumference (c) = 19.8 in
Radius (r) = ?
We know
2πr = c
2 * 3.14 * r = 19.8
6.28 r = 19.8
r = 19.8 / 6.28
r = 3.2 in
Hope it helps :)❤
help pls its ixl am in 84 pls help help
Answer:
15/51
Step-by-step explanation:
Total Number Of People = 15+36=51
Dancers = 15
15/51 is the chance of a dancer signing up