Answer:
(-2,4), (0,4), (-4,-2) and (2,-2)
Step-by-step explanation:
Given
[tex]A = (-5,9)[/tex]
[tex]B = (-2,9)[/tex]
[tex]C = (-8,0)[/tex]
[tex]D = (1,0)[/tex]
[tex]Translation: 2\ units\ right\ \& \ 3\ units\ down[/tex]
[tex]Dilation: \frac{2}{3}[/tex]
Required
Determine the vertices of the image RSTU
When a coordinate (x,y) is translates b units right, the new coordinate is: (x + b, y)
So, translation 2 units right gives:
[tex]A = (-5,9)[/tex] ---> [tex]A' = (-5 + 2,9) = (-3,9)[/tex]
[tex]B = (-2,9)[/tex] ---> [tex]B' = (-2 + 2,9) = (0,9)[/tex]
[tex]C = (-8,0)[/tex] ---> [tex]C' = (-8 + 2,0) = (-6,0)[/tex]
[tex]D = (1,0)[/tex] --- > [tex]D' = (1 + 2,0) = (3,0)[/tex]
When a coordinate (x,y) is translates b units down, the new coordinate is: (x, y-b)
So, translation 3 units down gives:
[tex]A' = (-3,9)[/tex] ---> [tex]A" =(-3,9-3) =(-3,6)[/tex]
[tex]B' = (0,9)[/tex] --> [tex]B" =(0,9-3) =(0,6)[/tex]
[tex]C' = (-6,0)[/tex] --> [tex]C" =(-6,0-3) = (-6,-3)[/tex]
[tex]D' = (3,0)[/tex]--> [tex]D"=(3,0-3) = (3,-3)[/tex]
Lastly, dilation of 2/3 gives:
[tex]New = Old * \frac{2}{3}[/tex]
[tex]R = (-3,6) * \frac{2}{3} = (-2,4)[/tex]
[tex]S = (0,6) * \frac{2}{3} = (0,4)[/tex]
[tex]T = (-6,-3) * \frac{2}{3} = (-4,-2)[/tex]
[tex]U = (3,-3) * \frac{2}{3} = (2,-2)[/tex]
Hence, the coordinates of RSTU are: (-2,4), (0,4), (-4,-2) and (2,-2)
HELP ME seriously i have 40 minutes left
Answer:
10 dollars less
Step-by-step explanation:
just trust me bro
Find the area of the
triangle.
Answer:
472.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Base (b) = 30 yd
height (h) = 31.5 yd
Area of the triangle
= 1/2 * b * h
= 1/2 * 30* 31.5
=472.5 yd²
What is the probability of NOT choosing a 4?
9/16
7 of the squares are 4 so we just substract that from the total of 16 and we get 9
Color of socks
Number of socks
white
8
black
7
blue
2
brown
3
From the table, the ratio of white socks to brown socks is
Select two ratios equivalent to the ratio of white socks to brown socks.
32
A.13
B.15
41
C.32
12
D.40
15
Answer:
D.40:15 are equivalent to the ration of white socks to brown sock which is 8:3
A racing shell, which is a boat a crew team rows, moves 20 km/h in still water. During practice, the team rows 36 km against the current and 22 km with the current. Find the speed of the river current if the team rows a total of 3 hours.
Answer:
2 km/h
Step-by-step explanation:
Let x represent the speed of the river current, t₁ be the time spent rowing against the current and t₂ be the time spent rowing with the current.
Since the speed of the still water = 20 km/h.
The speed of rowing against the current = (20 - x)
The speed of rowing with the current = (20 + x)
We know that velocity = distance / time. Hence time = distance / velocity
t₁ = 36 / (20 - x)
t₂ = 22 / (20 + x)
but t₁ + t₂ = 3 hours
Therefore:
3 = 36 / (20 - x) + 22 / (20 + x)
multiply through by 400 - x²
3(400 - x²) = 36(20 + x) + 22(20 - x)
1200 - 3x² = 720 + 36x + 440 - 22x
3x² + 14x -40 = 0
This gives x = -6.7 or x = 2
x cannot be negative therefore x = 2 km/h
The speed of the river current is 2 km/h
Answer:
2km/h is correct
Step-by-step explanation:
The other guy is absolutely correct
Is this a function?
Help me plz and i will give you the brainlest
Answer:
It is a function because the input values are different.
if h (x) = |5x - 17|, find h(3)
Answer:
2
Step-by-step explanation:
5x - 17
5(3) - 17 = 15 - 17 = -2
let me know if its right or wrong
A triangle has side lengths of 6, 8, and 9. What type of triangle is it? right obtuse equiangular acute
Answer:
acute
Step-by-step explanation:
Answer:
It is an acute triangle
Step-by-step explanation:
If it is an acute triangle, a^2 + b^2 > c^2
If it is a right triangle, a^2 + b^2 = c^2
If it is an obtuse triangle, a^2 + b^2 < c^2
If it is an equilateral triangle, a = b = c
6^2 +8^2 ? 9^2
36+64 ? 81
100 ? 81
? is >, meaning it is an acute triangle.
Help pleaseeeeee! i dont remember all of this
Answer:
35cm3
Step-by-step explanation:
7x5=35
Answer: The correct answer is 35. 7 * 5 = 35
Step-by-step explanation:
In ΔHIJ, the measure of ∠J=90°, JI = 48, IH = 73, and HJ = 55. What is the value of the tangent of ∠H to the nearest hundredth?In ΔJKL, the measure of ∠L=90°, JL = 60, KJ = 61, and LK = 11. What ratio represents the tangent of ∠J?
Answer:
11:60
Step-by-step explanation:
In ΔHIJ, given the measure of ∠J=90°, JI = 48, IH = 73, and HJ = 55. We are to find tan<H
Using SOH CAH TOA
tan theta = opposite/adjacent
JI is the opposite (facing m<H)
HJ will be adjacent
tan m<H = JI/HJ
tan m<H = 48/55
tan m<H = 0.87 (to the nearest hundredth)
In ΔJKL, the measure of ∠L=90°, JL = 60, KJ = 61, and LK = 11. What ratio represents the tangent of ∠J?
Using SOH CAH TOA
tan theta = opposite/adjacent
LK is the opposite (facing m<J)
JL will be adjacent
tan m<J = LK/JL
tan m<H = 11/60
Hence the ratio that represents the tangent of ∠J is 11:60
Over the weekend Mary binge watched 3 out of the 12 seasons of her favorite television show. What percent of the shows did she watch?
Answer:
1/4 is answer.
Step-by-step explanation:
Divide 3 to 12 = 1/4
Hope this helps. :)
Solve the system by graphing
6x – 9 = y
y = -3x
i can graph but how do you solve it
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Simplify
4y — 4ys + 2y – 5у — 54 – 34
Answer:
-4ys + y - 88
Step-by-step explanation:
When we have to simplify equations that have different variables, we always have to look at the like terms, which the like terms are ones that contain the same value and variable. So let's look at our equation :
4y — 4ys + 2y – 5у — 54 – 34
We can see three different terms here :
ys, y, and a constant term.
The rule is that we can only combine two properties that have the same like term, so in the equation :
4y — 4ys + 2y – 5у — 54 – 34
These have the same variable, therefore we can combine like terms.
4y + 2y - 5y
6y - 5y
y
Now implace it into the equation :
y — 4ys — 54 – 34
Onto the next property :
y — 4ys — 54 – 34
This is alone, therefore we can leave it :
y — 4ys — 54 – 34
These two are the same property, so do the following :
-54 - 34
-88
Impace into the equation :
y - 4ys - 88
Now that we have no same common like terms, we can order our equation to greatest value to least :
-4ys + y - 88
Rhonda and Shalene live together in an apartment, so they combine their income each week to pay for their rent and bills. Rhonda's paycheck is modeled by the function r(x)=22x+50,r(x)=22x+50, where xx is the number of hours worked. Shalene's paycheck is modeled by the function s(x)=30x−25,s(x)=30x−25, where xx is the number of hours worked. Which function represents their household income if they work the same number of hours?
Answer:
(r+s)(x)=52x+25
Step-by-step explanation:
i dont know how to explain but this is what I choose and it was right.
Find the surface area of the figure .
Answer:
356.4
r =4
h =12
just put it in this formula
2 pie r ( r + h )
GOOD LUCK FOR THE FUTURE! :)
Look at the table below. For a certain tree, the table shows the relationship between the height of the tree in feet to its age in years.
What is the rate of change of the height of the tree to the age of the tree?
•The height of the tree increases by 2 feet for every year in the age of the tree.
•The height of the tree increases by 5 feet for every year in the age of the tree
•The height of the tree increases by 2 feet for every 5 years in the age of the tree.
•The height of the tree increases by 5 feet for every 2 years in the age of the tree.
Answer:
D
Step-by-step explanation:
The last option in the picture
.What is the standard form of y – 8 = 2(x + 3)?
How to tell the difference between multiplication and division word problems?
Answer:
Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction and division. The result of a multiplication operation is called a product. And division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication
X + 2y = 10
3x + 4y = 8
Which point is the solution to the system of equations?
Answer:
x = -12
y = 11
Step-by-step explanation:
i used substitution and let 'x' = 10 - 2y
3(10 - 2y) + 4y = 8
30 - 6y + 4y = 8
30 -2y = 8
-2y = -22
y = 11
x + 2(11) = 10
x + 22 = 10
x = -12
A ladder leaning against the wall makes an angle of elevation of 74. If the foot of the ladder is 6.5 feet from the
wall, how high up the wall is the ladder?
Answer:
the answer is 6.5 * tan74 = 22.67 feet
Step-by-step explanation:
Find the area of the circle to the nearest hundredths ( Use 3.14 for pi) (4cm)
Answer: 50.24 cm²
Step-by-step explanation:
ASSUMING THE RADIUS OF THE CIRCLE IS THE 4 CM
The formula for the area of a circle is pi(3.14) * r(4)^2
[tex]3.14*4^2[/tex]
[tex]3.14*16[/tex]
[tex]50.24[/tex]
Hope it helps <3 :D
What are the domain and range of the function on the
graph?
Find the marked prices of the following , given the percentage discount and the sale prices: part a: 12% discount , and the sale price $77
part b : 25% discount , and the sale price $123
Answer:
A) $87.5
B) $164
Step-by-step explanation:
A) Marked Price (Original Price)
= [tex]\frac{Sale Price}{1 -Discount}[/tex]
=[tex]\frac{77}{1-0.12}[/tex]
=87.5
B) Marked Price (Original Price)
=[tex]\frac{Sale Price}{1 -Discount}[/tex]
=[tex]\frac{123}{1-0.25}[/tex]
=164
Find the solution of the system of the equation 4x+10y=-24
-2x+y=-24
Answer:
4x+10y=-24
-2x+y=-24
2x+11y=-48
48+2x=0
48+11y =0
48=2x
48=11y
48/2 =2x/2
48/11=11y/11
x=24
y= 48/11
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME ASAP
Answer:
156 dollars
Step-by-step explanation:
7th grade please solve the problem above. Write a paragraph explaining how you found the solution you must include each step for solving please!!!
Answer:
x=0
Step-by-step explanation:
You must isolate the variable to solve for it, so subtracting 14 from the left is the first thing to do. This can be supported by using PEMDAS, whereas we are doing the inverse here to solve for something in the equation. This gives us 2x=0. Next, we have to divide by 2, which gives us x=0.
The perimeter of a square is given as 8x+20. Write two different expressions for the perimeter. Use factoring to write one of the expressoins. Are the expressions equivalen? Explain
Answer:
P = 4(2x + 5)
P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)
Step-by-step explanation:
Given that:
Perimeter of square = 4 * s
Where s = side length
If perimeter, P = 8x + 20
Then,
4s = 8x + 20
Divide both sides by 4
4s / 4 = (8x + 20) / 4
s = 2x + 5
P = 4s
P = 4(2x + 5)
Or
P = 2x + 5 in 4 places
P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)
The ratio of boys to girls in a class is 7:5. There are 36 students in the class. How many students are girls?
Answer:
15 students are girls
Step-by-step explanation:
7+5=12
36÷12=3
3x5=15
Carlos debe estudiar para seis evaluaciones para ello distribuirá entre las seis materias 1/4 del tiempo del que dispone este fin de semana
Answer:
[tex]Tiempo = \frac{1}{24}[/tex]
Step-by-step explanation:
La pregunta está incompleta, sin embargo, una posible pregunta podría ser calcular el tiempo que Carlos dedicará a estudiar cada asignaturas.
Para hacer esto, simplemente dividimos el tiempo disponible por el número de asignaturas.
Tenemos:
[tex]Tiempo\ disponible = \frac{1}{4}[/tex]
[tex]Numero\ de\ sujetos = 6[/tex]
Solución
[tex]Tiempo = \frac{Tiempo\ disponible}{Numero\ de\ asignaturas}[/tex]
[tex]Tiempo = \frac{1}{4} / 6[/tex]
[tex]Tiempo = \frac{1}{4} * \frac{1}{6}[/tex]
[tex]Tiempo = \frac{1}{24}[/tex]
Esto significa que dedicará 1/24 de su tiempo a cada
Tax of northglenn city is calculated at 6.5%. Carlos is at a convenience store with his mom and needs to convert the percent the percent to a decimal to input it on his calculator. What decimal number should he use?