Answers
Answer:
(x, y ) → (x + 4, y - 1 )
Step-by-step explanation:
Consider the coordinates of K and K'
K (- 3, 5 ) , K' (1, 4 )
x- direction : - 3 → 1 is + 4 units to the right
y- direction : 5 → 4 is - 1 units down
translation rule is (x, y ) → (x + 4, y - 1 )
Related Questions
A ball is thrown vertically with a velocity of18 m/s. It’s height, h, in meters above the ground after t seconds is given by the equation: h= -5t2+10t+35. Algebraically, determine the following.
Find The maximum height of the ball and the time it takes to reach that height
The time it takes the ball to hit the ground.
PLEASE HELP!
Answers
Answer:
Step-by-step explanation:
First of all, something is wrong with either the wording in the problem or the equation that you wrote; if the upward velocity is 18, we should see 18t in the equation, not 10t. I solved using 10t.
To find the max height of the ball and the time it took to get there, we need to complete the square on this quadratic and solve for the vertex. That will give us both of those answers in one!
To complete the square, set the quadratic equal to 0 and then move over the constant, like this:
[tex]-5t^2+10t=-35[/tex] The rule is that we have to have a 1 as the leading coefficient, and right now it's a -5, so we factor that out, leaving us with:
[tex]-5(t^2-2t)=-35[/tex] and now we are ready to begin the process to complete the square.
The rule is: take half the linear term, square it, and add it to both sides. Our linear term is a -2 (from the -2t); half of -2 is -1, and -1 squared is 1. We add in a one to both sides. BUT when we put the 1 into the set of parenthesis on the left, we didn't just add in a 1, we have that -5 out front that is a multiplier. That means that we actually added in a -5 after it's all said and done.
[tex]-5(t^2-2t+1)=-35-5[/tex] and we'll clean that up a bit. The right side is easy, that's a -40. The left side...not so much.
The reason we complete the square is to put this quadratic into vertex form. Completing the square creates a perfect square binomial on the left, which for us is, along with the simplification on the right:
[tex]-5(t-1)^2=-40[/tex]
Lastly, we move the -40 back over by adding and setting the quadratic back to equal y:
[tex]-5(t-1)^2+40=y[/tex] and we see that the vertex is (1, 40). That translates to a height of 40 meters at 1 second after launch. That's the vertex which, by definition, is the max or min of the parabola. Because our parabola is negative, the vertex for us is a max.
To find out how long it takes the ball to hit the ground, set the quadratic equal to 0 and factor however it is you are currently doing this in class. You can continue to factor from the vertex form we have the equation in if you'd like. Let's do that, since we are already most of the way there. Begin here:
[tex]-5(t-1)^2=-40[/tex] and divide both sides by -5 to get
[tex](t-1)^2=8[/tex] and take the square root of both sides to "undo" that squaring on the left:
t - 1 = ±√8. Now add 1 to both sides to isolate the t:
t = 1 ± √8. In decimal form:
t = 1 + √8 is 3.828 seconds and
t = 1 - √8 is -1.828 seconds.
Since we all know that time will NEVER be a negative value, the time it takes the ball to hit the ground is 3.828 seconds.
F={(-1, 2), (3, 2), (4,2), (0, 2)} Is Fa function and why/why not?
Answers
Answer:
yes it is a function A
Step-by-step explanation:
Which statements are true about the rectangular pyramid below? Select three options.
Answers
Answer:
Options (1), (2) and (4)
Step-by-step explanation:
1). Since, pyramid given in the picture is a rectangular pyramid,
Area of the rectangular base = Length × Width
= 6 × 4
= 24 cm²
2). There are four lateral sides of the pyramid.
3). Lateral sides of the pyramid are not congruent.
4). Total surface area = Area of the lateral sides + Area of the rectangular base.
Area of one lateral side = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(4.6)(4)[/tex]
= 9.2 cm²
Area of second lateral side = [tex]\frac{1}{2}(6)(4)[/tex]
= 12 cm²
Area of the lateral sides = 2(9.2) + 2(12)
= 42.4 cm²
Total surface area = 42.4 + 24
= 66.4 cm²
5). Area of the one face = [tex]\frac{1}{2}(6)(4)[/tex]
= 12 cm²
Area of the second face = [tex]\frac{1}{2}(4.6)(4)[/tex]
= 9.2 cm²
Therefore, Options (1), (2) and (4) are the correct options.
what is the answer to this problem[tex]\frac{5y-20}{3y+15} .\frac{7y+35}{10y+40}[/tex]
Answers
Answer:
7(y-4)
---------
6(y+4)
Step-by-step explanation:
5y-20 7y+35
------------ * ------------
3y+15 10y +40
Factor
5(y-4) 7(y+5)
-------- * -----------
3(y+5) 10(y+4)
Cancel like terms
(y-4) 7
-------- * -----------
3 2(y+4)
7(y-4)
---------
6(y+4)
Asignen a cada situacion un numero entero A_la altura del monte everest es de 8848 m B_un buso descendio 25 m C_el auto esta estacionado en el 1° sub suelo D_se acreditador $500 en la caja de ahorro E_el deportista que obtuvo la medalla de oro en salto en alto alcanzo los 2,38 m F_la muralla china se construyo aproximadamente 200 años antes de cristo
Answers
Respuesta:
+8848 m;
- 25 metros
- 1
+ 500
+ 2,38
- 200
Explicación paso a paso:
Los signos se asignan en función del escenario descrito.
La altura del monte Everest representa la altitud y esto atrae un signo positivo.
Un descenso de 25 m representa una disminución y, por lo tanto, atrae un signo negativo.
El primer subsuelo se refiere al primer piso debajo, la posición hacia abajo atraerá un signo negativo.
Un crédito representa una adición, por lo tanto, atrae positivos
Un salto se clasificará como positivo
A la fecha o período pasado se le asignará un signo negativo
A post office always charges a flat one-time fee for any order. One time, Micheal sent 35 leters and paid 26 dollars. The next time, he sent 18 letters and paid $14.10. How much does the post office charge to send one letter? What is the flat fee?
Answers
Answer:
0.7 for one letter. 1.5 for flat fee...
Step-by-step explanation:
Which answers are elements of the solution set of the inequality? Check all that apply. X-54 > - 76
A.-25
B.-32
C.42
D.24
E.-36
F.-22
Answers
Answer:
C, D
Step-by-step explanation:
I assume your problem statement actually says
x - 54 > -76
x > -22
then the answers
C, D
are part of the solution set.
the others are not.
Find f(-5) if f(x)=[x+1]
Answers
Answer: -5
Step-by-step explanation:
square brackets mean that you need to select an integer part from the number that does not exceed the original number, that is, if we have a number, that is, if [5,1]=5 or [-5,1]=-6 ; curly brackets highlight the fractional part {} [tex]\displaystyle\ \Large \ \boldsymbol{Rules: } \\\\\\\boldsymbol{ if \ x >0 => [x]=x-\{x\}} \\\\\\\boldsymbol{if \ x<0 => [x]=x-1+\{x\}} \\\\\\then \ \ f(-5)=[-5+1]= [-4]=-4-1+0=\boxed{-5}[/tex]
Lucia gave Brenda half of the cash she had in the store counter at the end of the day. Brenda put the money in her purse and added one half of the amount she had from her own savings. Brenda had saved half of what Lucia earned in the store that day. Brenda took her purse and went to the dog shelter and brought food and treat packet for 5 dogs. Each packet cost her $15. How much money did Lucia earn at the store that day?
Answers
Answer:
$100
Step-by-step explanation:
The amount Lucia gave Brenda = Half the amount in the store counter
The amount Brenda added to the money Lucia gave her = Half the amount in her (Brenda) savings
The amount Brenda had saved = Half of the amount Lucia earned in the store that day
The number of food and treat packets Brenda bought = 5
The cost of each packet = $15
Let x represent the amount Lucia earned and let y represent the amount Brenda saved
We have;
x/2 = y
x/2 + y/2 = 15 × 5 = 75
Therefore, we get;
y + y/2 = 75
(3/2)·y = 75
y = 75 × 2/3 = 50
y = 50
From x/2 = y, we have;
x/2 = 50
x = 2 × 50 = 100
The amount Lucia earned in her store that day, x = $100
ASAP PEASEEE !!!!!!
Select the correct answer.
The average number of cars parked in parking lot A is given by the function A(x), where x is the number of hours since the lot opened. The average number of cars parked in parking lot B is given by the function B(x).
A(x) = 20log(x + 1) + 30
B(x) = 30log(x + 2) + 10
Which function, C(x), best describes the difference of the number of cars parked in parking lot A and parking lot B?
a) [tex]C(x)=\frac{log(x+1)^{20} }{log(x+2)^{30} } -20[/tex]
b) [tex]C(x)=log(\frac{(x+1)^{20} }{(x+2)^{30} }) -20[/tex]
c) [tex]C(x)=log(\frac{(x+1)^{20} }{(x+2)^{30} }) +20[/tex]
d) [tex]C(x)=\frac{log(x+1)^{20} }{log(x+2)^{30} } +20[/tex]
Answers
Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple
flowering plants sell for $5. How many pink flowering plants did Arianna buy?
Answers
Answer:
Arianna bought 7 pink flowering plants.
Step-by-step explanation:
Variable x = number of pink plants
Variable y = number of purple plants
Set up a system of equations:
x + y = 15
8x + 5y = 96
Isolate variable y (I will solve using substitution):
x + y = 15
y = 15 - x
Substitute the value of y in the second equation:
8x + 5(15 - x) = 96
Use distributive property:
8x + 75 - 5x = 96
Combine like terms:
3x + 75 = 96
Isolate variable x:
3x = 21
x = 7
ANSWERRR PLSSSS I LOVE YOU SO MUCHHH !!!!!!!!!
Answers
Answer:
125m
Step-by-step explanation:
Because 300m - 175m
= 125m
Answer:
A (125)
Step-by-step explanation:
You just need to subtract.
300 meters is the total amount she needs to swim, and she's already swam 175.
So to find the meters she still needs to swim you do 300 - 175
300 - 175 = 125
The scatter plot shows the number of cars and trucks sold by 10 different employees at a car and truck dealership during a month.
How many employees sold more cars than trucks?
Enter your answer in the box.
Answers
Answer:
3 employees
Step-by-step explanation:
The best way to obtain a solution is to note the coordinate if each point on the scatter plot :
Where, the x - axis represents the number of cars sold and y - axis represents the number of trucks sold.
So, the number of employees that sold more cars than trucks exists where the x - axis value is greater than its corresponding y-axis value.
The scatter plot points : (2,4) (4,3) (3,7) (3,9) (4,8) (5,6) (5,7) (6,6) (9,0) and (10,1)
Points where x-axis > y-axis with each coordinate representing an employee :
(4,3) ; (9,0) and (10,1) = 3 employees.
If you have four quarters and three nickles how much money do you have
Answers
Answer:
$1.15
Step-by-step explanation:
Answer:
1.15
Step-by-step explanation:
One quarter equals .25
One nickle equals .05
Add
0.25+0.25+0.25+0.25+0.05+0.05+0.05
^ ^ ^ ^
1.00 + 0.05+0.05+0.05
^ ^ ^
0.15
1.00 + 0.15 =
1.15
Hope this helped.
how to solve (n^(3)+3n^(2)+3n+28)-:(n+4) in long polynomial division?
Answers
Answer:
Open the image. (Hope you don't mind about bad writing)
Which equation represents the line that is parallel to and passes through (-12,36)?
Answers
Answer:
y=3/4x+45
Step-by-step explanation:
please can someone help me on this
Find the value of x that solves the system shown below. show the work that leads to your answer
y = 5x
2x - y = 18
thank you to anyone who helps !!!!
Answers
You plus in x as -6 and you already know that y=5x and you plug in x=-6
It should look like 2(-6)-5(-6)=18
b) 5(2x - 4)
Expand the following
Answers
Answer:
10x-20
Step-by-step explanation:
(5×2x)-(5×4)
10x-20
what is the prime factorization of 252 using exponents? -
Answers
Answer:
Step-by-step explanation:
252 = 2 * 126
= 2 * 2 * 63
= 2 * 2 * 3 * 21
= 2 * 2 * 3 * 3 * 7
= 2² * 3² * 7
Answer:
2^2 x 3^2 x 7
Step-by-step explanation:
2----252
2---- 126
3----- 63
3------ 21
7------ 7
1
2x2x3x3x7
In expotential form = 2^2 x 3^2 x 7
12) Calculate the expected value for a spin of this game. [A] $0.00 [B] $6.88 [C] $7.90 [D] $10.00 [E] $275.00
Answers
Answer:
[B] $6.88
Step-by-step explanation:
A mouse has made holes in opposite corners of a rectangular kitchen. The width of the kitchen is 2 meters and the distance between the mouse's holes is 3 meters. What is the length of the kitchen? If necessary, round to the nearest tenth.
Answers
Answer:
The length of the kitchen is 2.23 meters.
Step-by-step explanation:
Given that a mouse has made holes in opposite corners of a rectangular kitchen, and the width of the kitchen is 2 meters and the distance between the mouse's holes is 3 meters, the following calculation must be performed to determine what is the length of the kitchen, using the Pythagorean theorem:
Width = 2 meters
Hypotenuse = 3 meters
2 ^ 2 + X ^ 2 = 3 ^ 3
4 + X ^ 2 = 9
X ^ 2 = 9 - 4
X = √ 5
X = 2.236
Therefore, the length of the kitchen is 2.23 meters.
hellppp meeeeeee pleaseeee
Answers
Answer:
Step-by-step explanation:
abscissa = x coordinate
ordinate = y coordinate
table:
A( 2,-3) / (2, -3) / 2/ -3
B(-1,-7) / (-1, -7) / -1/ -7
C(2,0) / (2,0) / 2 / 0
D(-9, 6) / (-9,6) / -9 / 6
E(2,4) . / (2,4) . / 2 / 4
F(0,-5) / (0,-5) / 0 / -5
Solve this quadratic equation using the quadratic formula. 2x 2 - 2x = 1
Answers
Answer:
( 2 + √3 ) / 2, ( 2 - √3 ) / 2
Step-by-step explanation:
2x^2 - 2x = 1
2x^2 - 2x - 1 = 0
Here,
a = 2
b = - 2
c = - 1
D = b^2 - 4ac
D = ( - 2 )^2 - 4 ( 2 ) ( - 1 )
= 4 + 8
D = 12
x = - b ± √D / 2a
= - ( - 2 ) ± √12 / 2 ( 2 )
= 4 ± 2√3 / 4
= 2 ( 2 ± √3 ) / 4
= 2 ± √3 / 2
x = ( 2 + √3 ) / 2, ( 2 - √3 ) / 2
PLS HELP!
What effect will replacing x with (x + 7)have on the graph of the equation
y = x^2
Answers
Answer:
The answer would be C.
Compared to the original graph (red), the new graph (blue) is shifted 7 units to the left.
Step-by-step explanation:
Answer:
shift 7 units to the LEFT
Step-by-step explanation:
Si gasto el 90% de mis ahorros, me queda la decima parte de los que habia ahorrado?
Answers
Answer:
Si
Step-by-step explanation:
100% - 90% = 10%
10% = 0.10 = 1/10
Respuesta: Si
An auto dealership sells minivans and sedans. In January, they sold 10 minivans and 20 sedans. In February, they sold 7 minivans and 14 sedans. During which month did the auto dealership sell a lower ratio of minivans to sedans?
Answers
Answer:
january = 10/20 = 1/2
februry = 7/14 = 1/2
so, we conclude that the auto dealership didn't have a lower ratio, since the ratio is equal in both months.
hope it helps :)
Express 34C21 as a sum of two terms from pascals triangle.
Answers
Given:
The combination is:
[tex]^{34}C_{21}[/tex]
To find:
The [tex]^{34}C_{21}[/tex] as the sum of two terms from pascals triangle.
Solution:
According to the pascals triangle:
[tex]^{n+1}C_{r+1}=^nC_r+^nC_{r+1}[/tex]
We have,
[tex]^{34}C_{21}[/tex]
Using the pascals triangle formula, we get
[tex]^{34}C_{21}=^{33}C_{20}+^{33}C_{21}[/tex]
Therefore, [tex]^{34}C_{21}=^{33}C_{20}+^{33}C_{21}[/tex].
Help please i will give brainliest
Answers
Answer:
48
Step-by-step explanation:
To find how many 1/3 cm length cubes fill the prism, we first need to find the volume, which is equal to
length * width * height = 1 cm * (2 + 2/3) cm * (2/3) cm
= 1 cm * (6/3 + 2/3) cm * (2/3) cm
= 1 cm * (8/3) cm * (2/3) cm
= (8/3) cm ² * (2/3) cm
= (16/9) cm³
Therefore, the volume is 16/9 cm³.
Next, one cube with side lengths of 1/3 has a volume of ((1/3) cm)³ = (1/27)³
We thus need to find how many of 1/27 goes into 16/9
If we multiply 16/9 by 1=3/3 (as 9*3=27), we can equalize the bases, making 16/9 = 48/27
All that's left is to figure out how many times 1/27 goes into 48/27, which is equal to (48/27)/(1/27) = 48
At 11:30 a.m. the bottle is 1/4 of the way full. At what
time will the bottle be 1/2 full?
o 11:31 a.m.
11:35 a.m.
O 11:40 a.m.
1:00 p.m.
It’s B: 11:35 a.m.
Answers
Answer:
B. 11:35 am
Step-by-step explanation:
11:30 a.m. the bottle is 1/4 of the way full.
At what time will the bottle be 1/2 full?
Time required = 1/4 ÷ 1/2
= 0.25/0.5
= 0.5 minutes
Total time required for the bottle be 1/2 full
= 11:30 am + 0.5 minutes
= 11:35 am
B: 11:35 a.m
Answer:
A The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.
B The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes.
D Exponential growth involves a constant multiplicative rate of change.
Step-by-step explanation:
Edge 2021
what is x(2)+y(6) if x=4 and y=(-4)
Also, can anyone just talk?
Answers
Answer:
-16
Step-by-step explanation:
Follow . PEMDAS
plug the numbers in
4*2 =8 and -4*6=24
add both...
-16.
Step-by-step explanation:
4(2)+(-4)(6)
8-24
-16
hope it helps..
