The translated vertices from the given vertices are:
A(3, -4) → A'(-2, -6)
B(-4, -2) → B'(-9, -4)
C(1, 1) → C'(-4, -1)
What is the translation rule?The translation rule for the coordinates of a graph is given by
(x, y) → (x + a, y + b)
Here the coordinates (x, y) are translated by (a, b) units.
Calculation:The given vertices of a ΔABC are:
A(3, -4), B(-4, -2), and C(1, 1)
If the vertices are translated by T(-5, -2) units, then the new vertices after translation are calculated by using the rule (x, y) → (x + a, y + b). Here (a, b) is (-5, -2).
Thus,
A(3, -4) → (3 - 5, -4 - 2) ⇒ A'(-2, -6)
B(-4, -2) → (-4 - 5, -2 - 2) ⇒ B'(-9, -4)
C(1, 1) → (1 - 5, 1 - 2) ⇒ C'(-4, -1)
Therefore, the translated version of the ΔABC is ΔA'B'C' and its vertices are A'(-2, -6), B'(-9, -4), and C'(-4, -1).
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Jake ran 4% miles in % of an hour. How fast did he run in one hour?
Simplify the equation 3x-4+2=-2x-5+5x Down to its simplest form do not solve the equation
NEED THIS BEFORE 11:59 TODAY!!!
Answer:
the answer is 6x-7
Step-by-step explanation:
3x-4+2-2x-5+5x
3x-7-2x+5x
3x-7-2x+5x=
6x-7
find the measure of each numbered angle.
Choose an equation that would be used to solve 0 = -x2 + 10x – 8
Answer: the second choice
Step-by-step explanation:
Answer:
the second part is 0.9, and 9.1
Step-by-step explanation:
thank me later
A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 10%.
By what percentage does the volume of the can increase from the smaller can to the larger can? Round your answer to the nearest percent.
Answer:
Step-by-step explanation:
If the diameter increases by 10%,
new diameter = d+⅒ = 1.1d
also new radius = 0.55r
Height also increasesby 10%,
New height = h+⅒h = 1.1h
hence diameter of larger can =
π*(0.55)²*1.1= 1.0453
hence percentage change in volume
is 4.53% which can be rounded off to
Adding and Subtracting Algebraic Fractions Question.
I cant figure out how the answer: 2d + 3 over d² is found. Can someone explain it by solving the question in steps please. I think I have missed a step.
Answer:
to sum fraction of different denominator, we have to have the same denominator so we multiply d on top and bottom i.e 2d/d^2 +3/d^2 = (2d+3)/d^2
Step-by-step explanation:
multiply top and bottom does not change the equation.
Answer:
\( \dfrac{2d + 3}{d^2} \)
Step-by-step explanation:
\( \dfrac{2}{d} + \dfrac{3}{d^2} = \)
The denominators are d and d². To add fractions, you need a common denominator. The least common denominator (LCD) of d and d² is d². The second fraction already has the LCD as a denominator. We need a denominator of d² in the first fraction. We multiply the first fraction by d/d.
\( = \dfrac{d}{d} \times \dfrac{2}{d} + \dfrac{3}{d^2} \)
\( = \dfrac{2d}{d^2} + \dfrac{3}{d^2} \)
\( = \dfrac{2d + 3}{d^2} \)
Solve for m.
5m+72=−2m+52
Drag and drop the answer into the box.
Answer:
m= -20/7
Step-by-step explanation:
5m+72=−2m+52
Add 2m to each side: 7m + 72 = 52
Subtract 72 from each side: 7m = -20
Divide each side by 7: -20/7
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A homeowner bought a dryer from a discount appliance store for $813.99 and makes 12 monthly payments of $72.38 with a credit card. The store charges $1.25 for every purchase made with a credit card. The homeowner also had to pay late fees in the amount of $35 four different times. What is the total cost of the dryer?
$1,009.81
$1,023.56
$828.99
$918.56
The answer of the given question based on the discount is , the total cost of the dryer is $968.99, which is closest to option (d) $918.56.
What is Discount?A discount is reduction in price of product or service that is offered to customers. Discounts can be given for various reasons, like to increase sales, clear out inventory, reward loyal customers, or attract new customers. Discounts can be offered as a percentage of the original price, a fixed amount off the price, or as a bundle deal. For example, a store might offer a 20% discount on all items in the store during a holiday season to encourage customers to shop.
The total cost of the dryer can be calculated by adding the initial purchase price, the credit card fees, and the late fees.
The amount of credit card fees can be calculated by multiplying the number of payments by the fee per purchase:
12 payments x $1.25 per payment = $15
So, the total cost of the dryer including credit card fees is:
$813.99 + $15 = $828.99
To calculate the total cost including the late fees, we need to add the amount of late fees paid:
$828.99 + (4 x $35) = $968.99
Therefore, the total cost of the dryer is $968.99, which is closest to option (d) $918.56.
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O
Which of the following could be used to calculate the area of the sector in the circle sho
O
m(Sin)
O
WE OD
m(Sin)2
O n(30in)2
O
r-5 in 30
m(30in)
O
above? (5 points)
The Circle Sector Area correct answer is: O n(30in)2
To calculate the area of the sector in the circle, you would typically use the formula:
Area = (θ/360) * π *\(r^2\)
where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.
From the options you provided, the correct choice would be:
O n(30in)2
This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)
Therefore, the Circle Sector Area correct answer is: O n(30in)2
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A circle in the xy-plane has a center at (-32.7, -9.08) and a radius of V10. Which of thefollowing is an equation of the circle?А(x + 32.7)2 + (y +9.08)2 = V10B(x + 32.7)2 + (y +9.08)2 = V20(x + 32.7)2 + (y +9.08)2 = 10D(x +32.7)2 + (y +9.08)2 = 100
The general equation of a circle with the center at the point (a,b) and radius r is:
\((x-a)^2+(y-b)^2=r^2\)Since the coordinates of the center of this problem's circle are negative, they will be adding to the x and y variables. And the radius is sqrt(10) so when it's squared it gives 10. The equation is:
\((x+32.7)^2+(y+9.08)^2=10\)The correct answer is option C
help me find the volume because im bad at math :)
Answer:
v=2144.66
Step-by-step explanation:
V=4/3πr^3
sub in r which is 8
V=4/3 * π * 8^3
V=4/3 * π * 512
which graph represents the absolute value of -3
\(\sf\huge\underline\color{pink}{༄Answer:}\)
Slope: 0
y - intercept: (0, -3)
Kindly click the attached photo ^^
\(\color{pink}{==========================}\)
#CarryOnLearning
\(\sf\color{pink}{༄⁂✰Bae \: Yoonah}\)
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 20 miles per hour slower than the westbound train. If the two trains are 360 miles apart after 2 hours, what is the rate of the eastbound train?
Answer:
Westbound = x;
Eastbourne = x-20;
So they will have the common rate: 360/2 = 180;
x+x-20 = 180
2x = 200;
x = 100;
So Eastbourne will be 100-20 = 80 miles per an hour;
The graph of this system of equations is used to solve 4x^ 2 -3x+6=2x^ 4 -9x^ 3 +2x*
The solution of given system of equations are x = -1.146 and x = 4.833
In this question, we have been given a system of equations.
4x^ 2 -3x+6=2x^ 4 -9x^ 3 +2x
We can write it as:
y = 4x² - 3x + 6
y = 2x^4 - 9x³ + 2x
We need to find the solution of given system of equations.
Consider the following graph of given system of equations as shown below.
In graph both the equations intersect at two points (-1.146, 14.687) and (4.833, 84.945)
Point of intersection gives the solution of the equations.
x-coordinate of the intersection of graph gives the solution because function depends on x.
Therefore, the solution of given system of equations are x = -1.146 and x = 4.833
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I NEED ANSWER ASAP PLEASE WITH WORK PLEASE AND TY!!!!!! In the image the question is 32!! What is the factored form of x2 + 12x - 64?
A (x-4)(x + 16)
B. (x-2)(x + 32)
C. (x + 4)(x - 16)
D. (x-6)(x + 18)
Answer:
A) (x-4)(x+16)
Step-by-step explanation:
\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)
For each ordered pair (x, y), determine whether it is a solution to the inequality y≤0.
(8,-43)
(4.-22)
(-3,25)
(-7,45)
Is it a solution?
Answer:
(8,-43)
(4,-22)
Step-by-step explanation:
In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.
For example:
(4,-22)
x=4 ; y=-22
Plug y into the inequality
y≤0
-22≤0
Since the statement is true, I know that (4,-22) must be a solution to the inequality.
Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.
If this answer helped you, please leave a thanks or a Brainliest!!!
Have a GREAT day!!!
Answer:
Step-by-step explanation:
To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.
Let's check each ordered pair:
(8, -43):
The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.
(4, -22):
The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.
(-3, 25):
The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.
(-7, 45):
The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.
So, the solutions to the inequality y ≤ 0 are:
(8, -43) and (4, -22).
Sets Sets M and Fare defined as follows: M = {a,b,c,d} F = {c, d, e, f} Find the intersection of M and F.
The intersection of sets M and F contains the elements "c" and "d".
To find the intersection of sets M and F, we need to identify the elements that are common to both sets.
M = {a, b, c, d}
F = {c, d, e, f}
The intersection of M
and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.
Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".
Therefore, the intersection of M and F can be expressed as:
M ∩ F = {c, d}
So, the intersection of sets M and F contains the elements "c" and "d".
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mean of four numbers a ,b, c, and d is 8 and mean of seven
numbers x , y ,z ,a, b, c and d is 12 . Find the mean of x, y and z.
Answer:
17 1/3 or 17.33Step-by-step explanation:
Mean of four numbers a, b, c, and d is 8:
(a + b + c + d)/4 = 8 ⇒ a + b + c + d = 32Mean of seven numbers x, y, z, a, b, c and d is 12:
(x + y + z + a + b + c + d)/7 = 12Substitute the sum of 4 numbers:
x + y + z + 32 = 7*12x + y + z = 84 - 32x + y + z = 52Mean of x, y and z is:
52/3 = 17 1/3 or 17.3310^ 6 ( ten to the sixth power) equal to
A. 100
B. 10,000
B. 100,000
C. 1,000,000
Answer:
C, one million
Step-by-step explanation:
10x10x10x10x10x10 = 1,000,000
Answer:
The last choice (C?)
Step-by-step explanation:
10 to any power will have that many 0s after the 1
Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?
Answer:
No, it isn't.
Step-by-step explanation:
We have \(V=IR^{2}\) and let \(H\) be the subset of \(V\) of all points on the line
\(4x+3y=12\)
We need to find if \(H\) is a subspace of the vector space \(V\).
In \(IR^{2}\) all the possibilities for own subspace of the vector space \(IR^{2}\) are :
\(IR^{2}\) itself.The vector \(0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]\)All lines in \(IR^{2}\) that passes through the origin ( \(0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]\) )We know that \(H\) is the subset of \(IR^{2}\) of all points on the line \(4x+3y=12\)
If we look at the equation, the point \(\left[\begin{array}{c}0&0\end{array}\right]\) doesn't verify it because :
\(4x+3y=12\\4(0)+3(0)=12\\0=12\)
Which is an absurd. Therefore, \(H\) doesn't contain the origin (and \(H\) is a line in \(IR^{2}\)). Finally, it can't be a vector space of \(V=IR^{2}\)
Jackie has a box of mixed spring flower bulbs
containing 12 daffodils, 10 hyacinths, and 14
tulips. Jackie reaches into the box, randomly
chooses a bulb, plants it, then chooses
another, and plants it. What is the probability
that the first bulb Jackie plants is a daffodil
and the second is a hyacinth?
The probability that the first plant is daffodil and the second plant is hyacinth is 2/21
Let the number of flowers be denoted as ,
Number of daffodils, D = 12
Number of hyacinths, H = 10
Number of tulips, T = 14
Total number of flowers = 12 + 10 + 14 = 36
The probability is given as = (Number of favorable outcomes)/(Total number of outcomes)
Thus, the probability of planting daffodils, P(D) = 12/36 = 1/3
The probability of planting hyacinth, P(H) = 10/35 = 2/7
We have to find the probability that the first plant was daffodils and the second was hyacinth, that is,
Probability = P(D) * P(H)
= 1/3 * 2/7
= 2/21
Hence the probability that the first plant is daffodil and the second plant is hyacinth is 2/21
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Did i do this right?
Answer:
-7 = x +6
Step-by-step explanation:
Answer:
Step-by-step explanation:si
Need help with homework
Answer: A is (8.5,4) B is (2.5,1.5)
Step-by-step explanation:
Tammy has 4 more then five times the amount of dimes than nickels in her pocket. She has total of $1.50 in her pocket. Write an equation that could be used to determine the number of nickels(x) she has in her pocket.
In a case whereby Tammy has 4 more then five times the amount of dimes than nickels in her pocket and have total of $1.50 in her pocket the equation that could be used to determine the number of nickels(x) she has in her pocket is (0.05)(X+3) = 1.50.
How can the number of nickels(x) she has in her pocket been determined?The number of nickels(x) that can be found her pocket be determined by adding the the number of times the amount of dimes is than nickels, which can be expressed as :
let x will be number of dimes
let x+4 will be number of nickels
Therefore the number of nickels(x) that is required will be (0.10)X + (0.05)(X+3) = 1.50
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TRY IT Solve and support your thinking
A grasshopper weighs of an ounce. A beetle weighs
of an ounce. Which weighs more?
100
10
Answer:
45 hihihihihihihihihihihihih
Step-by-step explanation:
Answer:
Your answer doesnt say how much the beetle wighs, probably the grasshopper though
Step-by-step explanation:
Problems 14 and 15 pertain to the following situation: a woman buys 20 one-dollar lottery tickets per month. The probability of any ticket being a winning ticket is 0.10 or 10%.
14. The probability that in any one month at least three of the tickets that the woman buys are winning tickets is about?
15. The average number of winning tickets that the woman buys each month is about?
The required probability is P(X≥3) =0.3234
The average number of winning tickets that the woman buys each month is 2.
The binomial probability distribution is a discrete type of probability distribution with two parameters, n, and p. The probability mass function of the distribution is used to get the required probability. The average value of the winning number is the expected value of the binomial distribution.
The probability mass function of the binomial distribution is defined as:
\(P(X=x)=\frac{n}{x} p^{x} (1-p)^{n-x} , x =0,1,2,3,....,n.\)
Given that,
n = 20
p = 0.10
The required probability is P(X≥3)
P(X≥3) = 1-P(X<3)
P(X≥3)= 1-P(X=0)-P(X=1)-P(X=2)
P(X≥3)= 1- 0.1216- 0.270- 0.285
P(X≥3) = 0.3234
The mean of the distribution is defined as μ=n*p= 20*0.10= 2
The average number of winning tickets that the woman buys each month is 2.
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how many boxes are needed and how many popped kernels are in the last partially filled box?
Given:
A pound of popcorn is popped for a class party.
Each box holds 120 popped kernels.
There are 1450 kernels in a pound of unpopped popcorn.
All boxes are filled except for the last box
We will find the number of boxes, let the number of boxes = x
So, we can write the following equation:
\(120x=1450\)Solve the equation to find (x):
\(x=\frac{1450}{120}=12\frac{1}{12}=12+\frac{10}{120}\)So, the answer will be option 2
There are 13 boxes, 12 of them filled and 10 popped kernels in the last box
How do percents show the relationship between quantities?
9514 1404 393
Explanation:
A percentage is a representation of a fraction. Just as any fraction relates a quantity to a whole, so does a percentage.
Example:
3/5 represents 3 parts out of 5.
Its equivalent as a percentage is ...
3/5 · 100% = 60%
which also represents 3 parts out of 5, or 6 parts out of 10, or 60 parts out of 100.
__
Note that the percent symbol (%) can be considered to be a shorthand way to write /100. Similarly, the "mils" symbol (‰) can be considered a shorthand way to write /1000. That is, 60% is fully equivalent to 60/100, and vice versa.
A boat travels 432km in 24 hours how far can it travel in 16 hours?
Answer:
First find the distance per hour by dividing
432/24=18
multiply the rate with 16 hours
18 km per hour x 16 hours = 288 km in 16 hours
Step-by-step explanation:
Answer:
288km
Step-by-step explanation:
if a boat travels 432km in 24 hours .
then
it will cover x km in 16 hours
Using Direct Proportion:
\( \mathsf{x = \frac{432 \times 16}{24} } \)
\( \mathsf{x = \frac{432 \times 2}{3} }\)
\( \mathsf{ x = 144 \times 2}\)
\( \boxed{ \mathsf{ \implies \: 288km}}\)
hence the boat is gonna travel 288km in 16 hours
The length of the base of a triangle is twice it’s height. If the area of a triangle is 400 square kilometers find the height