Answer:
[tex](\frac{1}{3}x - 3,-\frac{1}{3}y+2)[/tex]
Both triangles will be similar
Step-by-step explanation:
See comment for complete question.
Given
Let the coordinates of the triangle be T(x,y)
First transformation: Dilation by 1/3
The new points will be:
[tex]T' = \frac{1}{3}(x,y)[/tex]
[tex]T' = (\frac{1}{3}x,\frac{1}{3}y)[/tex]
Second: Reflection over the x-axis
When a point (x,y) is reflected over the x-axis, the new point is (x,-y).
So, we have:
[tex]T'' = (\frac{1}{3}x,-\frac{1}{3}y)[/tex]
Third: Translation 3 units left and 2 units up.
When a point (x,y) is translated b units left and h units up, the new point is (x - b,y+h).
In this case:
[tex]b = 3[/tex] and [tex]h = 2[/tex]
So, we have:
[tex]T''' = (\frac{1}{3}x - 3,-\frac{1}{3}y+2)[/tex]
Hence, the coordinate of the new triangle will be: [tex](\frac{1}{3}x - 3,-\frac{1}{3}y+2)[/tex]
Additionally, both triangles will be similar because all the transformation done are rigid transformations i.e. Dilation, Reflection and Translation
A line passes through (-3, -1) and is parallel to the graph of y = 3x-4 has a slope Please help
Answer:
-12
Step-by-step explanation:
What is the area of the following trapezoid in the following graph (there is an attachment)
Answer:
72 square units
Step-by-step explanation:
I asked my parents they agree, but i'm not sure if it's right or not.
HELPPP (hopefully this on works)
Answer:
marla is 180m from the info center and she walked 240m from the parking lot to the lake
Akhila works for a company with over 1000 employees, of whom 83% have pierced ears. Every year, each
employee draws another employee's name and gives them a gift. Let I be the number of names Akhila
draws until she draws an employee's name who does not have pierced ears.
What type of variable is T?
Answer:
Geometric
Step-by-step explanation:
Trust
Greatest Value Emer your answer then press "S 5 + 7.6
Answer:
5s+7.6 is already simplified
Step-by-step explanation:
Hope I answered your question correctly:)
what is 6 root 2 divided by 2 simplified to
Answer:
Exact Form:
3
√
2
3
2
Decimal Form:
4.24264068
Step-by-step explanation:
Find the value of x. Round your answer to the nearest tenth.
Help please!
PLEASE HELPPP!!! I will mark you the BRAINLIEST
Helpppp meee pleaseee
9 g = 207
g=___? Helppp!
Answer:
g = 23
Step-by-step explanation:
Divide 207 / 9 = 23
Answer:
G=120
Step-by-step explanation:
6(X - 2) = -48
Find x
Answer:
6x-12=-48
6x=-36
x=-6
Step-by-step explanation:
Please help with this! The problem I need help with is problem 7.
Step-by-step explanation:
Cost per box : $1.2
[tex] \frac{1.5}{12} \times 100\% = 12.5\%[/tex]
HELP HELP DUE in 11 ahahhajs
Answer:
1st one: 270 ft ^2
2nd: 30 square yards
Step-by-step explanation:
The first one you have to find the area. 15×18= 270
The second one you take the previous answer and divide by 9= 30 square yard. (Might be wrong?)
What’s the rate of -5x - 6
Answer:
30
Step-by-step explanation:
Solving systems of equations using substitution. y=2x+8. y=5-x
Answer:
(x, y) = (-1, 6)
Step-by-step explanation:
y = 2x + 8
y = 5 - x
Substituting the second equation into the first equation, we get:
5 - x = 2x + 8
5 = 3x + 8
-3 = 3x
x = -1.
So, y = 5 - (-1).
Simplifying, we get:
y = 6.
Please help with math
Answer:
sin x= opp/hyp
sin x=18/30
sin x =3/5
cos x= adj/hyp
cos x=24/30
cos x=4/5
tan x=opp/adj
tan x=18/24
tan x=3/4
2. What is the slope of a line that is parallel to the line shown?
A) 3/2
B)-2/3
C) -3/2
D)2/3
Could someone please help me with these two???
Solve each system
7) 8x-y=3
y=-8x - 3
Please help
Answer:
i cant answer this because of my school computer but its simple
Step-by-step explanation:
Answer: x & y
0 & -3
1 & 5
slope : 8
y intercept : -3
On a farm, 4 and half out of every 15 acres of the land are used to grow crops.
Wheat is grown on 5/8 of the land used to grow crops.
What percentage of the total area of the land on the farm is used to grow wheat?
Given :
On a farm, 4 and half out of every 15 acres of the land are used to grow crops.
Wheat is grown on 5/8 of the land used to grow crops.
To Find :
The total area of the land on the farm is used to grow wheat.
Solution :
Land required to grow crops on every 15 acres is :
C = 4.5 or C = [tex]\dfrac{9}{2}[/tex] acres.
Now, it is given that wheat is grown on [tex]\dfrac{5}{8}[/tex] of the land used to grow crops.
[tex]W = \dfrac{9}{2}\times \dfrac{5}{8}\\\\W = \dfrac{45}{16}\ acres[/tex]
Now, percentage of the total area of the land on the farm is used to grow wheat is :
[tex]\% W = \dfrac{45}{16\times 15 }\times 100\\\\\%W = 18.75 \%[/tex]
Hence, this is the required solution.
Pls help me urgent pls
Answer:
You can use distance formula,
i. e. underroot (x sub2 - x sub1 )^ 2 - (y sub2 - y sub1 )
where u take first point as x sub1 and x sub2
and,
take second point as y sub1 and y sub2
where,
sub = subscript
Try for urselves and let me know
Hope it helps
Hope it helps ALL THE BEST !!
Which statement is not true
Answer:
a that corresponds to y is wrong
I need help with this ?
Answer:
8(3y + 2) = 8 * 3y + 8 * 2 = 24y + 16
Step-by-step explanation:
The outer rectangle has width 8 and length 3y + 2.
The area of the outer rectangle is length times width or width times length, so the area is 8(3y + 2).
We can also find the area by finding the area of each small rectangle, and adding the areas together.
The left small rectangle has dimensions 8 and 3y.
A1 = WL = 8 * 3y = 24y
The right small rectangle has dimensions 8 and 2.
A2 = WL = 8 * 2 = 16
The total area of both small rectangles is 24y + 16
That tells use that
8(3y + 2) = 8 * 3y + 8 * 2 = 24y + 16
This is the distributive property at work.
Who create the division
Answer:
Petter Sydow : A producer of division.
Step-by-step explanation:
Answer: Johann Heinrich Rahn
It was introduced by the Swiss mathematician, Johann Heinrich Rahn, in his work Teutsche Algebra (1659). This symbol was not much of a success in his home country of Switzerland or in Europe. But however, it was in both the Britain and also the USA.
If 1/4 gallons of water are enough to fill 7/10 of the pool how much water is nessacary to fill in the entire pool
============================================================
Work Shown:
1/4 = 0.25
7/10 = 0.70 = 70%
We are told that 0.25 gallons of water fills 70% of the pool
We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.
Set up the proportion below and solve for x
(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)
0.25/70 = x/100
0.25*100 = 70x ....... cross multiply
25 = 70x
70x = 25
x = 25/70
x = (5*5)/(5*14)
x = 5/14 gallons
----------------------------------------
An alternate method:
1/4 gallons = 7/10 pools filled
(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)
(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled
10/28 gallons = 1 pool filled
(5*2)/(14*2) gallons = 1 pool filled
5/14 gallons = 1 pool filled
In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".
----------------------------------------
Yet another alternate method:
1/4 = 10/40
7/10 = 28/40
We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.
So we have this ratio
10 gallons : 28 pools
Dividing both parts by 28 tells us how many gallons are needed for one pool
10 gallons : 28 pools
10/28 gallons : 28/28 pools
10/28 gallons : 1 pool
5/14 gallons : 1 pool
POINTS POINTS PLEASE HELP POUNTS WILL BE GIVEN
Answer:
option 3 / hope this helps
Step-by-step explanation:
i did this test a while ago so if its wrong im sorry
Answer:
[tex] m\angle A = 40\degree[/tex]
Step-by-step explanation:
[tex]m\angle A = \frac{1}{2} (115 \degree - 35 \degree) \\ \\ m\angle A = \frac{1}{2} \times 80\degree \\ \\ m\angle A = 40\degree \\ \\ [/tex]
if x stands for am number what is the mathematical phrase that represents three more than the number
Mahra has 3 adults and 2 children coming over. She is going to serve 2 small apple pies. If she plans to give each person, including herself, an equal amount of pie. How much pie will each person get?
Answer:
1/3 pies per person
Step-by-step explanation:
there are 6 people who gets served.
2 pies / 6 people = 1/3 pies per person
Answer:
2/6 = 1/3
She has 5 visitors + herself=6
Six people share 2 pies
She'll have to cut each pie into 3 equal pieces
So everyone will get a third of an apple
That is 1/3
1) You can spend at most $24 at the fair. Game
tickets cost $2 each, and ride tickets cost $4
each. You want to buy at least 3 game tickets
and more than 2 ride tickets. Write a system
of linear inequalities that represents the
situation. How many of each ticket can you
buy?
Answer:
2x+4y= 24
x≥3
y≤2
Step-by-step explanation:
Given data
total expenses= $24
let the number of tickets be x
and the number of rides be y
Tickets cost $2 each, and ride tickets cost $4
Hence the expression for the situation is given as
2x+4y= 24
x≥3
y≤2
John is 5 years older than Mary. In 10 years, twice John's age decreased by Mary's age is 35, and John's age will be
twice Mary's current age. Find their ages now.
If x is Mary's age now and yis John's age now, which system of equations could not be used to solve the problem?
Answer:
M=15
J=20
Step-by-step explanation:
Let J and M be the present age of John and Mary respectively:
J=M+5
2(J+10)−(M+10)=35
2(M+5+10)−(M+10)=35
2M+30−M−10=35
M=15
J=20