Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3). What is the coordinates of the image if the parallelogram is dilated with a scale factor of -1/3
Answer: [tex](\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .[/tex]
Step-by-step explanation:
Transformation rule for dilation:
[tex](x,y)\to(kx,ky)[/tex] , where k = scale factor
Given : Scale factor = [tex]-\dfrac13[/tex]
Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3)
Vertices after dilation:
[tex](-1,6)\to(-1\times\dfrac{-1}{3},6\times\dfrac{-1}{3})=(\dfrac13,-2)[/tex]
[tex](0,9)\times(0\times-\dfrac13,9\times-\dfrac13)=(0,-3)[/tex]
[tex](6,-3)\to(6\times-\dfrac13,\ -3\times-\dfrac13)=(-2,1)[/tex]
[tex](3,-3)\to (3\times-\dfrac13,\ -3\times-\dfrac13)=(-1,1)[/tex]
Hence, the coordinates of the image if the parallelogram = [tex](\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .[/tex]
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:yz
Step-by-step explanation:
I need help please!!
Answer:
rotation
Step-by-step explanation:
tis is a rotation around line x=y
Write the repeating decimal as a fraction. -0.356 with 2 trailing repeating decimals plz help ill give branliest
Answer:
Fraction: 89/250
Percentage:35.6%
Step-by-step explanation:
- 71 = x/64
One step
Answer:
x=-4544
Step-by-step explanation:
- 71 = x/64
Multiply each side by 64
- 71 *64 = x/64 *64
x=-4544
Answer:
x=−4544
Step-by-step explanation:
HELP ASAP!!!
One crate can store 12^3 toys. A warehouse receives 12^7 toys. Enter the number of crates
needed to store all the toys the warehouse received.
Answer: The number of crates needed to store all the toys the warehouse received = [tex]12^4= 20736[/tex]
Step-by-step explanation:
Given: Total number of toys = [tex]12^7[/tex]
Number of toys in one crate = [tex]12^3[/tex]
The number of crates needed to store all the toys the warehouse received.
= (Total number of toys) ÷ (Number of toys in one crate)
[tex]=12^7\div 12^3 = 12^{7-3}\ \ \ [a^m\div a^n=a^{m-n}]\\\\=12^4[/tex]
Hence, the number of crates needed to store all the toys the warehouse received = [tex]12^4= 20736[/tex]
Answer:
12^4 or 20736
Step-by-step explanation:
Since the warehouse has 12^7 toys and you need to find how much crates that can fit 12^3 toys will store all the toys, you must divide 12^7 by 12^3.
When dividing radical expressions, remember:
a^3/a^2=a^1 This kind of acts like subtracting the squared number
a^3 * a^2 = a^5 This kind of acts like adding the squared number
(a^3)^2 = a^6 This kind of acts like multiplying the squared number
Therefore, if you use the methods above, 12^7 / 12^3 = 12^4
12^4= 20736
2+2+2......
please help ASAP................
Answer:
6
Step-by-step explanation:
2*3=6
I did the test
can you please explain?
Answer:
I THINK A AND E
Step-by-step explanation:
Sanjay consulted three electricians about upgrading the wiring in his home. Each electrician uses a linear formula that incorporates a flat base fee and an hourly rate to determine the cost of service. Those formulas are shown in the table.
Repair Cost Formulas
Electrician
Cost in y dollars for an x-hour service
1
y = 25 x + 30
2
y = 30 x + 25
3
y = 25 x + 20
Which statement is best supported by the table?
Each electrician charges a different hourly rate.
Each electrician charges a different base fee.
All three electricians charge the same hourly rate.
All three electricians charge the same base fee.
Answer: B: each electrician charges a different base fee
Step-by-step explanation:
Answer:
b.Each electrician charges a different base fee:
Explanation:
Each of the equations has two parts:
1- base fee that is independent of any variable (this would be the number that has no variable next to it)
2- an hourly rate depending on the number of hours x (this would be the number that has an x next to it)
For the first electrician:
y = 25x + 30
base fee = $30
hourly rate = $25
For the second electrician:
y = 30x + 25
base fee = $25
hourly rate = $30
For the third electrician:
y = 25x + 20
base fee = $20
hourly rate = $25
Now, let's check the choices:
a.Each electrician charges a different hourly rate:
This is incorrect as electricians 1 and 3 charge the same hourly rate ($25)
b.Each electrician charges a different base fee:
This is correct as all three base fees are different ($30, $20 and $25)
c.All three electricians charge the same hourly rate:
This is incorrect as electrician 2 has a different hourly rate
d. All three electricians charge the same base fee:
This is incorrect as the base fees for the three electricians are different ($30, $25 and $20)
1.(03.01 LC)
Which of the following sets represents the range of the function shown? (5 points)
{(-3, 4), (5, 11), (9, -1), (10, 13)}
{-3, 5, 9, 10}
O {-1, 4, 11, 13}
{(4, -3), (11, 5), (-1, 9), (13, 10)}
{-3, -1, 4, 5, 9, 10, 11, 13}
HELP ME
Answer:
-1, 4, 11, 13
Step-by-step explanation:
the range of the function is the y values in this scenario, which are the second numbers of the original points given
What is the value of 3,520 × 10³
Answer:
Actually, it's 324670
Step-by-step explanation:
The total charge on 7 particles is −42 units. All the particles have the same charge.
What is the charge on each particle?
6 units
5 units
−5 units
−6 units
7p = - 42
p = -42/7
p = - 6
lol
-2 1/3 - (-5) = ?
Please hurry
what slope-intercept form equation represents the line?
Answer:
The slope of this line equals 2.
Hope this helps :)
Step-by-step explanation:
What is an equation of the line that passes through the points (-4, 4) and (8, 1)?
Answer:
y=-1/4x +3
Step-by-step explanation:
See the attached above.
Hope it helps :-)
Look at the figure. Which ray is opposite of CD?
Strip malls appear to popping up everywhere. The relationship between the actual price of a strip mall and the listing price is modeled in the least-squares regression line Ĉ = 0.2 + 1.011. Both amounts are in hundred-thousands of dollars. Let L represent the listing price and C represent the sales price. Which of the following is the best interpretation of the slope of the regression line?
A)For each hundred-thousand-dollar increase in the listing price, the sales price will increase by $1.01.
B)For each hundred-thousand-dollar increase in the listing price, the sales price will increase by $101,000,
C)For each hundred-thousand-dollar increase in the listing price, the sales price will decrease by $101,000.
D)For each hundred-thousand-dollar increase in the listing price, the sales price is predicted to increase by $1.01.
E)For each hundred-thousand dollar increase in the listing price, the sales price is predicted to increase by $101,000.
Answer:
The correct option is;
E) For each hundred-thousand dollar increase in the listing price, the sales price is predicted to increase by $101,000
Step-by-step explanation:
Whereby the relationship between the actual price of a strip mall and the listing price is modeled according to the least squares regression line as follows;
C = 0.2 + 1.01·L
Where;
L = The listing price
C = The sales price
Where both amounts are in hundred-thousands of dollars;
Therefore, given that the slope is 1.01, we have that for an increase of $100,000 for the listing price, L, which is 1 unit increase the sale price increases as follows
C₁ = 0.2 + 1.01 × 1 = 1.21
While for an increase of an extra $100,000, to make the listing price. $200,000 or 2 units, we have;
C₂ = 0.2 + 1.01 × 2 = 2.22
The increase is C₂ - C₁ = 2.22 - 1.21 = 1.01
C₂ - C₁ = $100,000 × 1.01 = $101,000
The increase is C = $101,000
Whereby, the equation is a linear regression line which is a model for prediction, we have;
The predicted increase in the sale price is $101,000 for each $100,000 increase in the listing price.
x/6 = 3/8
(7th grade math)
Answer:
cross multiply so it becomes 8x=18 then divide both sides by 8 and x= 2 2/8
Step-by-step explanation:
Solve the equation using inverse operations. show your work
-x^2=-36
Answer:
x = 6, -6
Step-by-step explanation:
-x^2 = -36
~Take the square root of both sides
x = ±6
Best of Luck!
Jenna feeds her cat twice a day. She gives her cat 3/4 can of cat food each time. Jenna is having a friend take care of her cat for 5 days. To prepare, she bought 8 cans of cat food, did Jenna buy enough cat food?
Answer:
Number of times Jenna feeds her cat = 2
Cat food each time
Number of days = 5
Number of cans she bought = 8
Step-by-step explanation:
Required food for each time
Jenna feeds her cat twice a day
Required food for a day
Required food for 5 days
Since, 7.5 cans < 8 cans, therefore, Jenna did buy enough cat food for her cat.
17. Given that I ||m, find the value of 'X'.
(5x + 8)
m
53°
n
Answer:
40
Step-by-step explanation:
PLEASE HELP
BRAINLIEST GETS 25 POINTS
Answer: The second one
Step-by-step explanation:
1/2n+3<5
1/2n<2
n<4
HELP!HELP!HELP! HELP HELP HELP HELP HELP HELP HELP
Answer:
30 movies in 5 months
102 movies in 17months
192 movies in 32 months
If there are 4 ships at a port and the first one leaves and comes back every three weeks, the second one every nine weeks, the third one every 12 weeks, and the fourth every 24 weeks when will they all be in the port at the same time/when will they be there all at the same week
Answer: After 72 weeks they will be in the port at the same time.
Step-by-step explanation:
Given, Total ships = 4
The first one leaves and comes back every 3 weeks, the second one every 9 weeks, the third one every 12 weeks, and the fourth every 24 weeks .
So, the number of weeks they will take to be in the port at the same time = L.C.M. (3, 9, 12 , 24) (L.C.M. = least common multiple)
Since, 9= 3 x 3
12 = 2 x2 x 3
24 = 2 x 2x 2 x3
then, L.C.M. (3, 9, 12 , 24)= 2 x 2x 2 x 3 x3 =72
Hence after 72 weeks they will be in the port at the same time.
There can be only one diagram of a net associated with each three-dimensional figure. Group of answer choices True False
The answer to this is true
If you roll a regular die 5 times what is the probability of rolling a 6 at least twice?
Answer:
0.03215.
Step-by-step explanation:
what three numbers from the 8 times table can get you to 108
Answer:
8 doesn't go into 108n but 9 and 12 do.
Step-by-step explanation:
hope this helps! if i doesn't can u please clarify the question more and then i will help u
If you have to use 8 one time it if physically impossible, However if not you can do 6x6x3
Determine whether the relation is a function.
((-6,6),(-1, 2), (2,-3), (5,5)}
Function
Not a function
Answer:
function
Step-by-step explanation:
every x value has only 1 y value
(-7x + 6) - (-2x + 9x - 2)
Answer:
-14x+4
Step-by-step explanation:
So the first set of paranthese don't really matter so you can rewrite it to this
-7+6-(-2x+9x-2)
Then infront of the ( there is a - which means a -1. Now just do the disbutive property.
-7x+6+2x-9x+2
Now add like terms and you get your finial answer!
-14x+4
how do u divide decimals using long division like for example 9.6 ÷3
How to Divide Decimals
Move the decimal point in the divisor and dividend. ...
Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.
Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place.