a) In order to perform the translation (x, y) -> (x + 7, y - 5) we just have to add 7 to the x-coordinates of each point and subtract 5 from the y-coordinates of each point, like this:
G(-1, 6) -> G'(-1 + 7, 6 - 5) = G'(6, 1)
H(-1, 3) -> H'(-1 + 7, 3 - 5) = H'(6, -2)
I(-6, 6) -> I'(-6 + 7, 6 - 5) = I'(1, 1)
By plotting the points G'(6, 1), H'(6, -2) and I'(1, 1), we get:
b) In order to perform the refection through the line y = -3, we just have to subtract the y-coordinate of each point from -3, like this:
G'(6, 1) -> G'(6, -3 - 1) = G'(6, -4)
H'(6, -2) -> H'(6, -3 - (-2)) = H'(6, -1)
I'(1, 1) -> I'(1, -3 - 1) = I'(1, -4)
Then, the points we get after these transformations are G'(6, -4), H'(6, -1), and I'(1, -4)
Solve the equation e' = 120. Then find the approximate value of the solution
using a calculator.
The approximate value of the solution to the equation e' = 120 is e ≈ 120.the value of e by rounding it to a Reasonable number of Decimal places.
The given equation is e' = 120, where e represents some variable.
To solve for e, we can start by dividing both sides of the equation by the coefficient of e, which is 1:
e' / 1 = 120 / 1
Simplifying the right-hand side, we get:
e' = 120
This means that the value of e is equal to 120. So the solution to the equation e' = 120 is e = 120.
To find the approximate value of e, we can use a calculator to evaluate the expression. Since e is a variable, we cannot substitute it directly into the calculator. However, we can estimate the value of e by rounding it to a reasonable number of decimal places.
In this case, since e' is given as 120, we can assume that e is also in the same units. So we can round e to the nearest whole number:
e ≈ 120
Therefore, the approximate value of the solution to the equation e' = 120 is e ≈ 120.
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By what method can the triangles below be proven similar?
Answer:
The answer should be B. SAS
The total surface area of a solid cylinder is 484cm square. If it's base has a diameter of 14 cm . Find the length take(22/7)
Answer:
I believe that the answer is 22.
Step-by-step explanation:
The height would be 22, because the radius is 22, and 484/22 is 22, so I THINK this is the answer.
susan currently walks to school from her apartment, which is 1.3 miles away from her first class. she typically walks at a speed of 3 miles per hour. she is considering buying a used bicycle from deseret industries to ride to campus. susan assumes that if she were riding a bike, she could go about 5 miles per hour.How many minutes could susan save getting to class each morning if she were to ride the bike?
Susan could save 10.4 minutes getting to class each morning if she were to ride the bike.
As per the data given:
The distance is given between the school and the apartment = 1.3 miles
Susan's walking speed = 3 miles/hr
Now we know that speed = distance ÷ time
Putting values in the above formulae, we get the time for walking situation
3 miles/hr = 1.3 ÷ time
Time = 1.3 ÷ 3 miles
Time = (13 ÷ 30 )hr
= (13 ÷ 30) × 60 minutes
= 13 × 2
= 26 minutes
The time taken when she is walking is 26 minutes.
Here we have to determine how many minutes could Susan save getting to class each morning if she were to ride the bike.
Now if she uses a bike, the speed is 5 miles/hr
Again applying same formulae speed = distance ÷ time
5 miles/hr= 1.3 ÷ time
Time= 1.3 ÷ 5 miles
= (13 ÷ 50)hr
= (13 ÷ 50) × 60 minutes
= 15.6 minutes
Time taken by bike is 15.6 minutes
Total time saved = time taken when walking - time taken using the bike
= 26 - 15.6
= 10.4 minutes
Hence, Susan could save 10.4 minutes if she uses a bike.
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To simply a rational expression I should
Answer:
Factorize, then divide the common factors.
Step-by-step explanation:
A rational expression is one that involves the division of two polynomials. The two polynomial having the same variable in each expression.
To simplify a rational expression, the first thing to do is to factorize each expression. This would ensure that there exist a common factor between the numerator and denominator.
Then you can divide by the common factor.
The remaining expressions in the quotient would have been reduced to their simplest form.
The sum of a number and 9
Answer: look it up :)
Step-by-step explanation: click new tab. then type 'the sum of a number and 9'. the first or second result will come up with your answer, n+9 is the one I got.
Answer: x+9 or n+9
Step-by-step explanation: sum refers to addition you can put x for "a number" thus you get x+9 as your expression or n+9 for your teacher but both are variables so it doesn't matter if it's j, y, u, or p what's there functionality wise but your teacher might want it a certain variable like n
What is the order of the rotational symmetry for the figure?
The order of the rotational symmetry of the figure is
C. 1What is rotational symmetry?Rotational symmetry refers to the property of an object or shape that remains unchanged or appears the same after a rotation of a certain angle around a fixed point called the center of rotation.
The degree or order of rotational symmetry of an object is determined by the number of distinct positions in which it looks the same during a full rotation of 360 degrees (or 2π radians).
In this case the figure will have only one rotational symmetry
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As you can see in the photo I’m working on number 16. This is how I was taught to work out my problems. What happens if both statements are true as shown in my work. Where would I shade?
Step-by-step explanation:
you would shoade from -4
Answer:
shade under both lines and on the left side shade darker the part that's in both of them I think?
A cereal box has dimensions of 12 inches, (7)3/4 inches, and 2 inches. A pastry box has a dimensions of (3)2/3 inches, (3)1/2 inches, and (2)1/3 inches. What is the difference in volume, cubic inches, between the two boxes. show your work
The difference in volume between the two boxes would be = 156in³
How to calculate the difference in volume between the boxes?To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;
Volume = length×width×height.
For box 1 = length = 12in, width = 7¾in, height= 2in
Vol = 12×7¾×2 = 186in³
For box 2; length = 3⅔in, width = 3½in, height= 2⅓in
Volume = 3⅔×3½×2⅓ = 30
The difference = 186-30 = 156in³
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A student is ordering a flower arrangement. She can choose any combination of roses and carnations for her flower arrangement, and she does not want to spend more than $30.
If roses cost $3 each and carnations cost $2 each, which inequality represents all possible combinations of x roses and y carnations?
The inequality represents all possible combinations of x roses and y carnations is 3x+2y≤30.
What is meant by inequality?Different types of inequalities can be represented by a number of different notations. A relationship between two expressions or values that is not equal in mathematics is referred to as an inequality. To correct an inequality, take the following actions: Prior to subtracting any fractions, multiply each phrase by the sum of the least common denominators of all the fractions. Step 2: To make the inequality simpler, combine related terms on both sides. Step 3: To calculate the value of the unknown, subtract or add the amounts from the numbers on either side.
The cost of each rose flower is $3
The cost of each carnation is $2
The cost for x roses will be 3x$
The cost for y carnations will be 2y$
The overall cost must be less than or equal to $30
Therefore, 3x+2y≤30.
Hence, the inequality represents all possible combinations of x roses and y carnations is 3x+2y≤30.
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A box has a width of 10 cm and a length of 17 cm. The volume of the box is decreasing at a rate of 527 cubic cm per minute, with the width and length being held constant. What is the rate of change, in cm per minute, of the height when the height is 6 cm?
Round your answer to the nearest hundredth. (Do not include any units in your answer.)
Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.
Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.
Therefore, we can write the volume of the box as
:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.
Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:
527 = constant × dh/dt
We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:
V = l × w × hV = 17 × 10 × hV = 170h
We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:
527 = constant × 6 cm
constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get
-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min
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2x^2+8x = x^2-16
Solve for x
Answer:
x=-4
Step-by-step explanation:
\(2x^2+8x=x^2-16\)
Move everything to one side:
\(x^2+8x+16=0\)
Factor:
\((x+4)^2=0\)
By the zero product rule, x=-4. Hope this helps!
Answer:
x=-4
Step-by-step explanation:
Move everything to one side and combine like-terms
x²+8x+16
Factor
(x+4)²
x=-4
The population of a certain bacteria colony can be modeled by the functionf(x)=x^2 , where x is the number of hours after the colony started. What will the population of the bacteria colony be after 12 hours?
Answer:
The answer is 24
Step-by-step explanation:
Since the population after x hours is 2x, then after 12 hours, we'll substitute x = 12 into the function.
The population becomes 2 x 12 = 24
3.6x+(7.5*2736)=21600
Answer: We have to solve the given equation for x
\(3.6x+(7.5\times2736)=21600\)Simplification:
\(\begin{gathered} 3.6x+(7.5\times2736)=21600\rightarrow3.6x+20520=21600 \\ 3.6x=20520-21600=1,080 \\ x=\frac{1080}{3.6}=300 \end{gathered}\)This is the value fo x
Shamin Jewelers sells diamond necklaces for $442 less 10%. Jewelers offers the same necklace for $527 less 34%, 14% What additional rate of discount must offer to meet the competitor's price
Answer:
The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:
$442 * 0.9 = $397.80
The selling price of the same necklace at the competitor's store after 34% and 14% discount is:
$527 * 0.66 * 0.86 = $247.08
So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:
$397.80 - $247.08 = $150.72
To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:
($150.72 / $442) * 100 = 34.11%
Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.
Step-by-step explanation:
I need your help pls
Answer:
1. Let the number is x
a) 8 more than 4 times a number is 28
Required equation:
4x + 8 = 28b) Example would be:
Four teams of same number of members joined together and the team of eight joined them adding up to 28 people.
3.
Height - h, length - lh = 1/3lh = 5 feet, l = ?----
l = 3hl = 3*5 = 15 feet8.
Equation:
6a - 16 = bExample situation:
6 packs of each containing a number of items. It was reduced by 16 (sold) and b number of items left in the stock.
Note. You need to add your details to the examples.
HELP ME PLEASE HERE IS THE IMAGE I NEED THE HELP PLEASE
Answer: 1:3
Step-by-step explanation:
18 Spanish and 6 French
ratio of French to Spanish is 6:18 reduced to1:3
a tire plant makes 10 tires perm inute. If the tire plant runs for 10hours a day, how many days will it take to make 6 million tires?
Answer:
1,000 days
Step-by-step explanation:
6 tires per minute = 600 per hour
600 per hour times 10 hours = 6,000 per day
Divide 6,000,000 by 6,000 per day = 1000 days.
PLEASE HELP!!! due today!!
Answer:
The maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
Step-by-step explanation:
We are given that weight P is inversely proportional to the distance D between the supports of the beam, and for this certain type of wooden beam, we have:
P = 7200/D
To find the distance between supports needed to carry 1600 lb, we can substitute P = 1600 in the above equation and solve for D:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
So the distance between supports needed to carry 1600 lb is 4.5 feet.
To find the maximum distance between supports for the beam to support a weight of 1600 lb, we can use the same equation and solve for P = 1600:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
Therefore, the maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
find the value of x. 142 3x+22
Answer:
x = 40
you can guess and check.
What are the intercepts of the graph of
the equation 4y - x = 8
Answer:
x intercept: (-8,0)
y intercept: (0,2)
I don't need lengthy details I just want the answer
Answer:
Sue rode 1885 miles total
Step-by-step explanation:
There are 31 days in March, 30 in April, and 30 in May.
31 * 12 + 30 * 12 + 30 * 12 = 1092
There are 30 days in June and 31 in august.
30 * 13 + 31 * 13 = 793
Now we find the total:
1092 + 793 = 1885
Select the number that round to 387.4 when rounded to the nearest tenth.
A. 387.461
B. 387.344
C. 387.309
D. 387.352
E. 387.779
Answer:
D
Step-by-step explanation:
When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"
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help me please please please
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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What is the domain of the relation graphed below?
Answer:
you need to show us the graph
Which shows the correct solution of the equation 1/2 a + 2/3 b, when ? b=30
Answer:
The answer is 1/2a + 20
Step-by-step explanation:
Given;1/2a + 2/3bb = 30Now, Substitute value of b
1/2a + 2/3b
1/2a + 2/3(30)
1/2a + 2 × 10
1/2a + 20 = a/2 + 20 = (a + 40) ÷ 2
Thus, The answer is 1/2a + 20
-TheUnknownScientist 72
fractions 4/16 2/8 15/60 3/9 which fraction is not equivalent to 1/4
Answer:
3/9
Step-by-step explanation:
If x = 6, is the following equation True or False: -7x + 14 = 56
Answer:
False: x ≠ 6
Step-by-step explanation:
Step 1:
- 7x + 14 = 56 Equation
Step 2:
- 7x = 42 Subtract 14 on both sides
Step 3:
x = 42 ÷ - 7 Divide
Step 4:
x = - 6
Answer:
x ≠ 6
Hope This Helps :)
jope works 42 hours in a 6 day week, calculate the number of hours in a week he is not at work
Answer:
the number of hours in a week Jope, who is not at work, is 102 hours
Step-by-step explanation:
call X is the number of hours in a week Jope is not at work.
=> the number of hours in a week = X + the number of work hours in a week
=> 6*24 = X + 42
=> X = 6*24 - 42
=> X = 102 hours
On Halloween, Mr. McCoy and two of his children ate a 6 pound bag of
candy. On average, how many pounds of candy did each person eat?