Answers
Answer:
The translation rule is: (x,y) → (x-3, y+3)
Step-by-step explanation:
A translation rule in geometry is basically asking you what was done to move the shape to its new location on a graph.
In this particular problem, visualizing the graph isn't actually necessary. You only need to figure out what was added or subtracted to get the new numbers from the old ones.
In the beginning, point D was at the x coordinate 1. To make 1 into -2, you subtract three. The points E and F were also changed from their old numbers to the new ones by subtracting 3.
So, we know that the first half of our rule is x-3.
In the beginning, point D was at the y coordinate 3, but it changed to a 6. To get from 3 to 6, you add three more. Points E and F can also be made into their new numbers by adding 3.
So, we know that the second half of the rule is y+3.
I hope this helped. Please let me know if you have any questions :)
Related Questions
What is the volume of the cube below?
Answers
Answer:
27
Step-by-step explanation:
volume = side³
v = 3³
v = 27
i dont know how to convert to whatever h is so this is the best answer i can give
Volume of cube = length x width x height
= 3 x 3 x h
= 9h
Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to Yeony2202, tysm for the help!
Answers
Answer:
35449 people
Explanation:
Given equation: y = 1100.74x -1976.47
Here year '2005' represents x = 005 = 5
So, the year '2034' will represent x = 034 = 34
Insert this into equation:
y = 1100.74(34) -1976.47
y = 35448.69
y ≈ 35449 (rounded to nearest whole number)
Mr.david gave ross a number and asked him to divide it by 15. The quotient and remainder obtained by ross are 341 and 12 respectively. Find the number that teacher gave ross.
Answers
The number the teacher gave Ross is 5127
Word problems on linear equationsFrom the question, we are to determine the number that the teacher gave Ross
From the given information,
Mr. David gave Ross a number and asked him to divide it by 15.
Let the number be x
That is,
x/15
The quotient and remainder obtained by ross are 341 and 12 respectively
That is,
x/15 = 341 + 12/15
Now, we will solve the equation for x
x/15 = 341 + 12/15
Multiply through by 15
x = 15×341 + 12
x = 5115 + 12
x = 5127
Hence, the number the teacher gave Ross is 5127
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Amira's mother was in her garden, tying tomato plants to wooden stakes: it took her 10 minutes to stake each plant and she placed the plants 2 feet apart. IF she started at one end of the row at 8:00 am, how far from the first plant was the tomato plant she finished tying up at 9:00 am?
Answers
Answer:
12ft
Step-by-step explanation:
It takes 10 minutes for each plant and she spent 1 hour in total or 60 minutes: 60/10 = 6 plants
If each of the plants is 2 feet apart and there are 6 plants: 2ft*6 = 12ft
solve these linear equation
x + 4y = 16
3x + 5y = 27
Answers
Use elimination
x+4y=16--(1)3x+5y=27--(2)(1)×5 and (2)×4
5x+20y=80--(3)12x+20y=108--(4)(3)-(4)
-7x=-28x=4Putting in eq(1)
4y=16-44y=12y=3x + 4y = 16 __(1)
3x + 5y = 27 __(2)
Multiply the 1st equation by 3
3x + 12y = 48 __(3)
Solving (2) and (3)
3x + 12y = 48
3x + 5y = 27
__________
(-) (-) (-)
7y = 21
So, y = 3
By, putting the value of y = 3 in equation 1
x + 4(3) = 16
x + 12 = 16
x = 16 - 12
x = 4
We got -The value of x = 4 and y = 3
Hope it helps you any confusions you may ask!
use the substitution method to solve the system of equaltions. choose the correct ordered pair. 2y+4x=18 and 2y-3x=4
Answers
The solution of the system of equation is x = 7 and y = 12.5.
How to solve equation by substitution?2y + 4x = 18
2y - 3x = 4
2y = 4 + 3x
y = 2 + 3 / 2 x
Hence, let's substitute the value of y in equation(1)
2( 2 + 3 / 2 x) + 4x = 18
4 + 3x + 4x = 18
4 + 7x = 18
7x = 14
x = 14 / 2
x = 7
2y - 3(7) = 4
2y - 21 = 4
2y = 25
y = 25 / 2
y = 12.5
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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
Answers
The equations which gave the same solution as; 2.3p – 10.1 = 6.5p – 4 – 0.01p are;
2.3p – 10.1 = 6.49p – 4 and230p – 1010 = 650p – 400 – pWhich equations have the same solution as the given equation?It follows from the answer choices that the equation; 2.3p – 10.1 = 6.49p – 4 is equivalent to the given equation as the algebraic sum of p variables is evaluated on the right hand side.
The second equation; 230p – 1010 = 650p – 400 – p also is equivalent to the given equation, when multiplied through by 100.
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Evaluate the piecewise function at the indicated values from the domain:
ƒ(−1) = 1
ƒ(−1) = −1
ƒ(−1) = −2
ƒ(−1) = 0
Answers
The value of the piecewise function at the domain is f(-1) = 1
How to evaluate the piecewise function?The complete question is added as an attachment
At x = -1, the function is
f(x) = x^2
So, we have:
f(-1) = (-1)^2
Evaluate
f(-1) = 1
Hence, the value of the piecewise function at the domain is f(-1) = 1
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Find a28 of the arithmetic sequence given a1=1 and d=-9
Answers
The a28th term of a arithmetic sequence is -242.
According to the statement
We have given that :
a1 = 1 and d = -9. And by use of it we have to find the value of the a28th term in the arithmetic sequence.
So, arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
And the formula is
an = a1 +(n-1)d
here put the values in it
an = a28 , n = 28, d =-9, a1 =1
then
an = a1 +(n-1)d
a28 = 1 +(28-1)(-9)
a28 = 1 +(27)(-9)
a28 = 1 -243
a28 = -242.
So, The a28th term of a arithmetic sequence is -242.
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how do I find x on the attached right triangle
?
Answers
The value of x from the given triangle is 32√3/3
SOH CAH TOA identityIn order to determine the value of x, first we need to determine the hypotenuse side of the smaller triangle.
sin 60 = 8√2/H
H = 8√2/sin60
H = 8√2 * 2/√3
H = 16√2/√3
H = 16√6/3
For the value of x, we will use the expression
sin45 = (16√6/3)/x
1/√2 = 16√6/3x
3x = 16√12
3x = 32√3
x = 32√3/3
Hence the value of x from the given triangle is 32√3/3
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which function is greater at the given value y=3^x or y=x^3 at x=2
Answers
Answer:
[tex] {3}^{x} [/tex]
Step-by-step explanation:
[tex] {x}^{3} = 8[/tex]
[tex] {3}^{x} = 9[/tex]
The number of Minghua's stamps is 1 1/2 times that of John's.
Answers
Step-by-step explanation:
Let the number of stamps of John be x.
Then number of Minghua's stamps:
1 1/2 * x3/2 * x(3/2)xJohn's: x
Minghua's: (3/2)x
Select the correct answer. A linear function graph of the x-axis and y-axis has a diagonal line that passes the x-axis at (minus 0.5, 0), and the y-axis at (0, 1) In the function above, the slope will be multiplied by , and the y-value of the y-intercept will be increased by 3 units. Which of the following graphs best represents the new function?
Answers
Answer: Graph Y
Step-by-step explanation:
When an arithmetic expression contains two or more different operators, such as * and , the order in which the operations is done is determined by:_______
Answers
When an arithmetic expression contains two or more different operators, such as * and , the order in which the operations is done is determined by: Operator precedence
Precedence is known to be a kind of rule that tells the order in which a specific operations need to be carry out in an arithmetic expression.
The precedence of an operator specifies how tightly it binds two arithmetic expressions together.
In the arithmetic expression 4 + 5 * 3 , the answer is 19 and not 27 because the multiplication (*) operator has a higher precedence than the addition (+) operator.
Operator associativity is nothing but how operators of the same precedence are evaluated in an arithmetic expression. It can be either from left to right or right to left.
Therefore, when an arithmetic expression contains two or more different operators, such as * and , the order in which the operations is done is determined by: Operator precedence
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Need some help with trigonometry
Answers
Answer:
e) B. 45°
f) A. 30°
Step-by-step explanation:
e) sec theta = 1/ cos theta
the value of cos theta is 1/√2 at 45°
so , sec 45° = √2 and theta = 45°
f) cot theta = 1/ tan theta
the value of tan theta is 1/ √3 at 30°
so, cot 30° = √3 , theta = 30°
The answers are :
e) B
f) A
For part (e), convert into terms of cosθ.
secθ = 1/cosθcosθ = 1/√2θ = cos⁻¹ (1/√2)θ = 45°For part (f), convert into terms of tanθ.
cotθ = 1/tanθcotθ = 1/√3θ = cot⁻¹ (1/√3)θ = 30°Select the correct expressions.
A ladder that is 25 feet long is leaning against a pillar. The vertical height from the base of the pillar to the top of the ladder is 24 feet. Which
expressions represent the angle, 8, that the bottom of the ladder makes with the ground?
(answer options shown below)
Answers
Answer:
sin-1 (24/25).
Step-by-step explanation:
We are given the opposite side to the given angle (24 ft) and the hypotenuse (25 ft) .
sin = opposite / hypotenuse
- so it is sin-1 (24/25).
Can someone please solve this
Answers
Answer:
20
Step-by-step explanation:
a c will have the same angle as b d
Explanation: Vertically opposite angles are the same so add 20+25 = 45 which is x
Which transformation(s) can be used to map one triangle onto the other? select two options. reflection only translation only dilation, then translation rotation, then translation rotation then dilation
Answers
Transformation which can be used for mapping of one triangle to another are;
Only translationRotation then dilation.What does mapping mean in geometry?
Any method that is outlined for assigning a specific object from one (or the same) set to each object in another is known as mapping. Any set, including all whole integers, all the points on a line, or all the objects inside a circle, can be mapped.We need to map one triangle to another ;
Hence, for mapping of one triangle to another,
The transformation which can be used from the given options are;
Only translationRotation then dilationLearn more about mapping
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Answer:
B. translation only
E. rotation then dilation
Step-by-step explanation:
B. translation only
E. rotation then dilation
NEED HELP ASAP PLEASEE!!!!!!!!!
QUESTION #1
The decimal number 6.05 can be read as "six and five-hundredths."
True
False
QUESTION #2
The decimal number 11.8 can be read as "eleven and eight tens."
True
False
Answers
The statement 6.05 can be read as "six and five-hundredths" is true and 11.8 can be read as "eleven and eight tens" is false
Place value6.05
6 = ones
0 = tenths
5 = Hundredth
6.05 = six and five-hundredths
11.8
1 = Tens
1 = Ones
8 = tenths
11.8 = eleven and eight tenths
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Sonji bought a combination lock that opens with four-digit number created using the digits 0 through 9. The same
digit cannot be used more than once in the combination.
If Sonji wants the last digit to be a 7 and the order of the digits matters, how many ways can the remaining digits be
chosen?
O 84
• 504
• 3,024
• 60,480
Answers
Answer:
Step-by-step explanation:
This is what I am thinking. - ,- ,- , - I number goes in each space. There are 10 numbers to choose from and I cannot use a digit more than once. I only have 1 choice for last slot and that is the number 7. I have 9 numbers left . I could put any one of the 9 numbers in the first spot, then there are only 8 numbers to choose from, so I will put 8 in the second spot. I now have only 7 numbers that are left for the third spot.
If I multiple this together 9x8x7x1 = 504
The function ƒ (x) = (?)* is shown on the coordinate plane. Select the drop-down menus to correctly describe the end behavior of f (x)
1. As x decreases without bound, the graph of f (x)
A. Increases without bound.
B. Approaches y=0
C. Decreases without bound
2. As x increases without bound, the graph of f (x)
A. Approaches y=0
B. Increases without bound
C. Decreases without bound
Answers
Answer: 1. A
2. A
Step-by-step explanation:
Can someone help me do these problems I’m having a hard time doing it and show work please !
Answers
The expression which expresses the number of square feet of wallpaper needed is 12[tex]x^{2}[/tex]-21.
Given that the length of family room is 3x, breadth be 3x , height be x and the length and breadth of door be 7 feet and 3 feet.
We are required to find the expression which shows the square feet of wallpaper needed for the walls of the family room.
Because the wallpaper is not usually used on the floor and the ceiling and on doors so we will deduct the area of ceiling , floor and door from the surface area of whole room or we will just find the area of four walls one by one and then deduct the area of door from it.
Area of four walls only=2(lh+bh)
=2(3x*x+3x*x)
=2(3[tex]x^{2}[/tex]+3[tex]x^{2}[/tex])
=2*6[tex]x^{2}[/tex]
=12[tex]x^{2}[/tex]
Area of door=length*breadth
=3*7
=21 [tex]feet^{2}[/tex]
Required area=12[tex]x^{2}[/tex]-21.
Hence the expression which expresses the number of square feet of wallpaper needed is 12[tex]x^{2}[/tex]-21.
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Penny attended a four year state college. she took out a student loan to pay for her tuition and room & board for the four years she was attending the college. her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. now that she has graduated, she will have to start paying back her loan. fortunately, penny has a grace period of one year before she has to start paying back the loan. her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. during her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. her goal is to be able to payoff the loan in 10 years. what is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? this is the amount that she will be responsible for paying back. (round your answer to the nearest whole dollar)
Answers
The new loan amount is $113,797
What is compound interest?
Compound interest is the interest imposed on a loan or deposit amount. It is the most commonly used concept in our daily existence. The compound interest for an amount depends on both Principal and interest gained over periods. This is the main difference between compound and simple interest.
We can find new loan amount as shown below:
Total amount of loan=4*6,970+4*11,320
=27,880+45,280
=$73,160
Now, we will find new loan amount using compound interest formula.
Amount=[tex]P(1+\frac{r}{n})^{nt}[/tex]
P=$73,160
n=12
t=1 year
r=4.5%=0.045
Putting in formula
Amount[tex]=73,160(1+\frac{0.045}{12})^{12}[/tex]
=$113,797.039
Rounding to nearest dollar
=$ 113,797
Hence, new loan amount after one-year grace period is $113.797.
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Question 20
Points 3
The height of a lighthouse is 98 meters and the distance between the top of the lighthouse and boat is 125 meters. Find the distance
between the bottom of the lighthouse and the boat.
O 125 m
O 77.6 m
Answers
The distance between the bottom of the lighthouse and the boat is 77.6m.
What is the distance between the bottom of the lighthouse and the boat?
The lighthouse and the boat would form a right triangle. The height would be the height of the lighthouse. The distance between the top of the lighthouse and boat would be the hypotenuse. The distance between the bottom of the lighthouse and the boat would be the base.
In order to determine the required distance, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
where:a = lengthb = basec = hypotenuse
125² = 98² + b²
b² = 125² - 98²
b = √(25² - 98² )
b = 77.6m
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Find the slope of the line that passes through the points (7 , 4) and (-9 , 4).
Answers
Answer:
0
Step-by-step explanation:
The y values are the same so this line is a straight line with a slop of 0
To check:
To find the slope we use y1-y2/x1-x2
Plug in the numbers: 4-4/-9-7 = 0/-16 = 0
Of india’s more than 1.2 billion population, about _____ percent are muslims.
a) 4
b) 15
c) 26
d) 62
e) 88
Answers
Service organizations are often ideally suited for activity-based costing. In no less than 200 words, explain why the previous statement is true and discuss what some of the special considerations are in the design of cost accounting systems for service organizations
Answers
Service organizations are ideally suited for activity-based costing because virtually all of the costs for a service company are indirect and appear to be fixed.
What is activity-based costing?Activity-based costing is a method of assigning overhead and indirect costs such as salaries and utilities to products and services.
The ABC system of cost accounting is based on activities that are considered any event, unit of work, or task with a specific goal.
Here, activity-based costing has been used in manufacturing products but can also be applied to service industries, or businesses that provide a service instead of a product.
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PLEASE HELP WILL GIVE YOU ALL MY POINTS In the picture, t || s, mz1 = 10x + 2, and mz2 = 12x - 22. Find the measure of angle 2.
Answers
Answer:
[tex]\huge\boxed{\sf < 2 = 122\°}[/tex]
Step-by-step explanation:
From the figure,
∠1 = ∠2 (Alternate angles are equal)We know that:
∠1 = 10x + 2∠2 = 12x - 22So,
10x + 2 = 12x - 22Add 22 to both sides
10x + 2 + 22 = 12x
10x + 24 = 12x
Subtract 10x to both sides
24 = 12x - 10x
24 = 2x
Divide 2 to both sides
12 = x
OR
x = 12Given that,
∠2 = 12x - 22
Put x = 12
∠2 = 12(12) - 22
∠2 = 144 - 22
∠2 = 122°[tex]\rule[225]{225}{2}[/tex]
Answer: 122°
Step-by-step explanation:
∠1 an ∠2 are alternate interior angles, which are angles that are inside both parentheses and are on alternate sides of the transversal. The Alternate Interior Angles Theorem states that if two lines are parallel and cut by a transversal, then the alternate interior angles formed are congruent.
Since the lines are parallel as given in the question, ∠1 and ∠2 are of equal measure. We can solve for ∠2 by first solving for x, then plugging it in ∠2's measure.
[tex]10x+2=12x-22[/tex]
[tex]-2x=-24[/tex]
[tex]x=12[/tex]
Putting x in the expression 12x-22, we get
[tex]12(12)-22\\144-22\\122[/tex]
Hence, the value of ∠2 is 122°.
If the value of the sample standard deviation increases, what happens to the confidence interval?
Answers
If the value of the sample standard deviation increases, the confidence interval becomes wider and is denoted as option A.
What is Confidence interval?This term is used in statistics and refers to the probability that a population parameter will fall between two set values.
it has a direct relationship with standard deviation in which its increase will also lead to the set of values being wider thereby making it the most appropriate choice.
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The options are :
a. It becomes wider
b. It becomes more precise
c. It does not change
d. It narrows
please help thank you! will give brainliest!
Answers
A'(-6, -10), B'(-3, -13) and C'(-5, -1) are the vertices of the ΔA'B'C' given that the vertices of the ΔABC are A(-6, -7), B(-3, -10) and C(-5, 2) and translation rule (x, y) → (x, y-3) is applied. This can be obtained by putting coordinate values of vertices in the translation rule and then vertices of ΔA'B'C' are found.
Find the vertices of ΔA'B'C' :Given that,
In ΔABC, the vertices are A(-6, -7), B(-3, -10) and C(-5, 2)
The translation rule that must be applied is ⇒ (x, y) → (x, y-3)
By applying the translation rule to each of the vertices of ΔABC we get,
A(-6, -7) → A'(-6, -7-3) = A'(-6, -10)B(-3, -10) → B'(-3, -10-3) = B'(-3, -13)C(-5, 2) → C'(-5, 2-3) = C'(-5, -1)That is,
(-6, -7) → (-6, -10)(-3, -10) → (-3, -13)(-5, 2) → (-5, -1)These new coordinates are the vertices of ΔA'B'C'.
Hence A'(-6, -10), B'(-3, -13) and C'(-5, -1) are the vertices of the ΔA'B'C'.
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