Using translation concepts, the method that Howard could have used to determine the coordinates of the vertices of the image is:
(x,y) -> (-x,y).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
A reflection over the y-axis can be described according to the following rule:
(x,y) -> (-x,y).
Hence this rule can be applied to find the vertices.
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Given: JLM is equilateral. Z is the midpoint of JM.
Prove: JZL is congruent to MZL.
There are multiple ways to prove congruence between two triangles:
SSS - three sides are congruentSAS - two sides and the angle in between are congruentASA - two angles and the side in between are congruentAAS - two angles and one side are congruentHL - (applies only to right triangles) the hypotenuse and one leg are congruent.Keep in mind that the order of the letters matters.
Solving the Question
Given triangle JLM, we know that
S - Z is the midpoint of JM, meaning JZ is congruent to MZ.S - Both triangles share side LZ.S - Because JLM is an equilateral triangle, LJ is congruent to LM.This is only one of the ways to prove congruence with these two triangles.
Find each difference.
(-6s² + 12s-8) - (3s² +8s - 6) =
O-9s² + 4s-14
O-9s² + 4s-2
O-9s² + 20s - 14
O-9s² +20s-2
DONE ✔
Answer: [tex]-9s^2 + 4s-2[/tex]
Step-by-step explanation:
[tex](-6s^2 +12s-8)-(3s^2 + 8s-6)\\\\=-6s^2 + 12s-8-3s^2 - 8s+6\\\\=\boxed{-9s^2 +4s-2}[/tex]
Shreya and Shanice are selling pies for a
school fundraiser. Customers can buy
blueberry pies and lemon meringue pies.
Shreya sold 4 blueberry pies and 2 lemon
meringue pies for a total of $76. Shanice
sold 4 blueberry pies and 13 lemon
meringue pies for a total of $230. What is
the cost each of one blueberry pie and
one lemon meringue pie?
Answer:
$26
Step-by-step explanation:
Let blueberry pies = x and lemon pies = y.
4x + 13y = 230
4x + 2y = 76
Using elimination, we see that 11y = 154. Therefore, y = 14.
4x + 2(14) = 76
4x + 28 = 76
4x = 48
x = 12
x + y = 12 + 14 = 26.
$26 is your answer.
Answer:
Step-by-step explanation:
Let B be the price of a blueberry pie. Let L be the price of a lemon meringue pie.
We are told that Shreya makes a total of $76 by selling 4 blueberry and 2 lemon meringue pies. This can be made into an equation:
Shreya: 4B + 2L = $76
We also learn that Shanice is doing particularly well:
Shanice: 4B + 13L = $320
We want to determine the prices for each type of pie, B and L. We have two equations and two unknowns. That means we should be able to find the answers by substitution.
Rearrange Shreya's equation to isolate B:
Shreya: 4B + 2L = $76
4B = $76 - 2L
B = ($76-2L)/4
Now use this definition of B in Shanice's equation:
Shanice: 4B + 13L = $320
4( ($76-2L)/4) + 13L = $320
($76-2L) + 13L = $320
11L = 244
L = $22.18
Use L = $22.18 in either equation and solve for B:
4B + 2L = $76
4B + 2*($22.18) = $76
4B = $31.64
B = $7.91
---
Blueberry pies are $7.91 each.
Lemon meringue pies are $22.18 each
=========
CHECK: Do these prices provide the correct sales for each person?
Price($/pie) Shreya Shanice
Blueberry 7.91 4 4
Lemon Mer. 22.18 2 13
Blueberry Sales ($) 31.64 31.64
Lemon Mer. Sales ($) 44.3 288.36
Total Sales $76 $320
YES - These prices account for each person's sales.
Which ordered pair is included in the solution set to the following system?
y > x2 + 1
y < x2 – x + 1
(–3, 4)
(–2, 6)
(0, 2)
(2, 4)
Answer:
The answer is (-2,6)
Step-by-step explanation:
Answer: (-2, 6)
Step-by-step explanation:
An easy way to solve this is to plug in each answer into the system of inequalities to figure out with ordered pair adheres to the rules of both equation.
Let's use the first ordered pair as an example: (-3,4)
Is this true?:
4 > (-3)² +1
4 < (-3)² - (-3) + 1
No, it is not:
4 < 10
4 < 13
Let's try the second answer:
Is this true?:
6 > (-2)² + 1
6 < (-2)² -(-2) + 1
YES, it is!
6 > 5
6 < 7
(-2, 6) is your answer. To check, verify that the last two answer choices are wrong.
Let f(r) = 42 - 5, find f(3).
Solve the following:
a) 4x 3= 2x + 7
b) 2x+6= 7x14
[tex]4x - 2x = 7 + 3 \\ \\ 2x = 10 \\ \\ x = \frac{10}{2} \\ \\ x = 5.[/tex]
•••••••••••••••••••••••••••••••••••••••Correct Question : 2x + 6 = 7x - 14Solution : 2x + 6 = 7x - 14[tex]2x - 7x = - 14 - 6 \\ \\ - 5x = - 20 \\ \\ x = \frac{20}{5} \\ \\ x = 4.[/tex]
another equation for y = 8x + 7
Which function is positive for the entire interval [–3, –2]? On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3). On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5). On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5). On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2). Mark this and return
The function is shown to be positive throughout the whole range [-3, -2] in graph (B).
According to the question,
Four alternative graphs representing various functions are supplied to us; our task is to identify the function graph that is positive over the whole range [-3, -2]. A closed interval exists. Therefore, it includes both -3 and -2.The graph of the Y value must be in a positive area during this interval. Therefore, we must choose a function that is positive over the whole range [-3, -2].Looking at the graph, we can see that the graph B has positive y-values in the range [-3, -2].
Hence The function is shown to be positive throughout the whole range [-3, -2] in graph (B).
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The sum of 8 and a number is less than 15. Which of the following
inequalities expresses the solution?
The inequality which expresses the solution to the task is; x < 7.
Which inequality expresses the solution to the graph?According to the task content; The sum of 8 and a number is less than 15. Therefore, it follows that;
let
The unknown number = x
sum of 8 and a number:
8 + x
sum of 8 and a number is less than 15:
8 + x < 15
x < 15 -8
x < 7.
Ultimately, the required inequality is; x < 7.
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(x+y)(x+6y) pls help me solve question pls and pls also give explanation if possible
Step-by-step explanation:
[tex] = (x + y)(x + 6y)[/tex]
[tex] = x \times x + x \times 6y + y \times x + y \times 6y[/tex]
[tex] = {x}^{2} + 6xy + xy + 6 {y}^{2} [/tex]
[tex] = {x}^{2} + 7xy + 6 {y}^{2} [/tex]
this ven diagram shows sports played by 10 students.
let event a = the student plays basketball
let event b = the student plays soccer
what is p(A/B)?
Topic: Speed
Subject: Mathematics
Answer the Question
Q1: Express each of the following in km/h
a: 8.4 km/min b: 315 m/s
c: 242 m/min d: 125 cm/s
Hope this helps you
........
if x = 5 and y = 2 , work out the value of a) 3x+y b) 2x squared c) ( x-y) 2 squared out of the brackets
Answer:
a) 17
b) 50
c) 6
Step-by-step explanation:
a) 3x+y
3(5)+2
15+2
17
b) 2x²= 2×5²
2×25
50
c) (x-y)2= (5-2)2
(3)2
3×2
6
The average of three unique number is 50.if the loweat number is 30 what is the sum of other two numbers
Answer:
The sum of the other two numbers is 120.
Step-by-step explanation:
To find an average, you add all the numbers involved and divide it by the amount of numbers involved. in this case,
(x+y+z) ÷ 3 =50
x=30
Divide both sides by three to remove the denominator.
(30+y+z)÷ 3 (*3) = 50(*3)
(30+y+z)=150
Subtract 30 from both sides.
(30+y+z)-30= 150-30
y+z=120
the gomez family drove 476 miles in 7 hours. what was their average speed, in miles per hour?
The average speed is 68 miles per hour
How to determine the average speed?The given parameters are:
Distance = 476 miles
Time = 7 hours
The average speed is calculated as:
Speed = Distance/Time
So, we have:
Speed = 476 miles/7 hours
Evaluate
Speed = 68 miles per hour
Hence, the average speed is 68 miles per hour
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Plot the foci of the hyperbola represented by the equation x^2/625 − y^2/3600 =1 100pts
The attached image represents the foci of the hyperbola
How to determine the foci?The equation of the hyperbola is given as:
[tex]\frac{x^2}{625} - \frac{y^2}{3600} = 1[/tex]
Rewrite as:
[tex]\frac{x^2}{25^2} - \frac{y^2}{60^2} = 1[/tex]
A hyperbola is represented as:
[tex]\frac{(x - h)^2}{b^2} - \frac{(y - k)^2}{a^2} = 1[/tex]
This means that:
h = 0
k = 0
b = 25
a = 60
Next, calculate c the distance from the center to the focus using:
[tex]c = \sqrt{a^2 -b^2}[/tex]
This gives
[tex]c = \sqrt{60^2 -25^2}[/tex]
Evaluate
[tex]c = \pm \sqrt{2975}[/tex]
This means that:
Foci = (0, -√2975) and (0, √2975)
See attachment for the hyperbola and the foci
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A trash can is in the shape of a cylinder. It has a radius of 2 feet and a height of 5 feet. What is the volume of the trash can? Round to the nearest tenth. Use 3.14 for pi
Answer: 62.8 cubic feet
Step-by-step explanation:
R is radius
H is height
R=2ft
H=5ft
V=(3.14)(2)^2(5)
V=62.8 cubic feet
A circle of radius 1 is inscribed within a square. What is the probability that a randomly-selected point with the square is also within the circle?
A circle of radius 1 is inscribed within a square. What is the probability that a randomly-selected point with the square is also within the circle?
[tex] {p}^{2} > {p}^{2} \: \: and \: \: p {1}^{2} - \: p {2}^{2} \: < \frac{1}{3} [/tex]
Step-by-step explanation:
HOPE ITS HELP
I need help with a question
Answer:
y = 3
x = -15
Step-by-step explanation:
When substituting, we want to get rid of one of the variables. (It's easiest ot find the variable in terms of other variable)
so, we know that...
x + 5y = 0
- 5y - 5y
x = -5y
We can plug this x-value into the second equation to find our y-value:
3y + 2x = -21
3y + 2(-5y) = -21
3y - 10y = -21
-7y = -21
÷ -7 ÷ -7
y = 3
So, if x = -5y,
x = -5y
x = -5(3)
x = -15
(we can test these values in one of the original equations):
x + 5y = 0
(-15) + 5(3)= 0
-15 + 15 = 0
{true}
so, y = 3 ; and x = -15
hope this helps!! :)
PLEASE HELP FAST!!! A ladder leans against a building. The top of the ladder reaches a point on the building, which is 18 feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle of elevation from the ground to the top of the ladder.
The measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees
Angle of elevation and depressionThese method is used to determine the side and angles of a triangle
From the question given, we have the following parameters
Base of the building = 7feet (Adjacent side)
Height of the building = 18 feet (Opposite side)
Required
angle of elevation of the building
Using the SineOppositeHypotenuse CosineAdjacentHypotenuse TangentOppositeAdjacent identity
tanФ = opp/adj
tanФ = 18/7
Ф = 68.73 degrees
Hence the measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees
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Give me the hardest math equation you know and solve it
(Beware, if you joke and waste the points, I will not be very happy!)
1B + 26M - 26K
Answer That!! Hehehehe
Help i need it What is the product?
Answer:
[tex]12x^9+15x^8 -8x^6-10x^5[/tex]
Step-by-step explanation:
[tex]~~(x^4)(3x^3 -2)(4x^2 +5x)\\\\=(3x^7-2x^4)(4x^2 +5x)\\\\=12x^9+15x^8 -8x^6-10x^5[/tex]
Chocolate cost $1.50 and was paid for with $5 which three coins were given as change
Answer: $3.5
Step-by-step explanation:
If a product cost $1.50 and you paid $5, the change will be equal to
$5 - $1.50 = $3.5 for change
How many feet of fencing will George need for the dog run?
22 feet
68 feet
76 feet
82 feet
George will need to do 76 ft. of fencing , Option C is the correct answer.
What is a Rectangle ?A rectangle is a polygon with four sides , angles and vertices , the opposite sides are parallel and equal.
Area of the dog run = 240 sq.ft
Length of the run is 30 ft
Width is 30-x ft.
Area of a Rectangle = Length * Width
240 = 30 * (30-x)
8 = 30 -x
x = 22 ft.
Width is (30-220 = 8)
The perimeter of the rectangle is = 2(Length + Width )
Perimeter = 2( 30 +8)
Perimeter = 2 * 38 = 76 feet
Therefore George will need to do 76 ft. of fencing.
The complete question is
George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w. A rectangle labeled How many feet of fencing will George need for the dog run? 22 feet 68 feet 76 feet 82 feet
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Answer:
late a-s-f but 68 ft
Step-by-step explanation:
Need help (pic included)
The value of the coefficient of xy is 0.
What is an algebraic expression?It is an expression made of numbers and letters where the numbers are called coefficient.
Analysis:
(ax+by)(cx-dy)
ac[tex]x^{2}[/tex] -adxy +bcxy -bd[tex]y^{2}[/tex]
But, ac = 18, ad=bc, bd = 50
18[tex]x^{2}[/tex] -xy(bc -ad) - 50[tex]y^{2}[/tex]
since bc = ad, the coefficient of xy = 0
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Colton solved an equation incorrectly, as shown below: Step 1: x − 13 = 26 Step 2: x = 26 − 13 Step 3: x = 39 Which statement best explains why Step 2 is incorrect in Colton’s solution?
Answer:
Step 2 explains why Colton's solution is incorrect because he subtracted 13 on both sides instead of adding it on both sides.
Hope it helps!
Answer:
'Cause he didn't use the inverse operation! ^^
Step-by-step explanation:
Heres the correct way to solve it:
x-13=26
x=26+13
x=39
The correct way is to add 13 to both sides and not subtract.
--
Hope that this helped! Best wishes.
--
PLEASE ANSWER ASAP!!!!!!
The function f(x)=−6sin(7/3x+1/6)−5 models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.
Over what range of temperatures does the average rate of change in temperature fall?
Enter a value in each box to correctly complete the statement.
The range in the average rate of change in temperature of the substance is from a low
temperature of ____ F to a high of ________ F
The range in the average rate of change in temperature of the substance is from a low temperature of 1 F to a high of -11 F.
What is a formula for Fahrenheit?The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) ;
°F = (9/5 × °C) + 32.
Given function:
f(x)= -6 sin(7/3 x+ 1/6) -5
The function will be maximum at the 7/3 x +1/6= 3π/2
So, the maximum temperature will be
= -6 sin (3π/2) -5
= 6 -5
= 1 F
The function will be minimum at the 7/3 x +1/6= π/2
Therefore, the maximum temperature will be
= -6 sin (π/2) - 5
= -6 -5
= -11 F
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Question 9 of 10 Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value for PV as the expression ($505)((1+0.004) - 1) ? (0.004)(1+0.004) Question 9 of 10 Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value for PV as the expression ( $ 505 ) ( ( 1 + 0.004 ) - 1 ) ? ( 0.004 ) ( 1 + 0.004 )
The TVM solver is a tool found in graphing calculators, that solve Time Value of Money problems.
The group of values that will return the same value as the given expression is;
D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END
What is Present Value?
Present value (PV) formula finds application in finance to calculate the present day value of an amount that is received at a future date.
In the TVM solver, we have;
I = The annual percentage rate
N = n × t
t = The number of years
PV = Present value
PMT = Payment
P/Y = Number of payments per year = n
C/Y = Number of compounding periods per year = n
The formula for monthly payment is presented as follows;
[tex]P = \frac{M[(1+r/n)^{nt} - 1]}{(r/n)(1+r/n)^{nt}}[/tex]
M = [tex]\frac{P.(r/n)(1+ r/n)^{nt} }{(1+ r/n)^{nt} - 1}[/tex]
Therefore, we get;
Where;
M = PMT = -415
P = PV
r = I
P/Y = n = 12
Therefore;
0.003 = I/12
I = 0.003 X 12 = 3.6%
N = n X t = 24
The value of the equation is the present value, PV = ?
When payment are made based on the PV, we have FV = 0
The group of values the same value as the expression
P = [tex]\frac{(415)[(1+0.003)^{24}-1]}{(0.003)(1+0.003)^{24}}[/tex]
when plugged into the TVM solver of a calculator is;
D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END
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Drag each tile to the correct location. The labels can be used more than once.
Match each polynomial expression with its degree.
0, 1, 2
The degrees of each expression will be (x-9) degree 1, -4x²-6x+9 degree 2, x²-2x+9 degree 2, -3 degree 0, 3x-2 degree 1, 6x+2 degree 1 and 5 degree 0.
What is the degree of a polynomial?
The degree of the polynomial is defined as the highest power of the variable of the given polynomial or it is the maximum power of the polynomial.
The degree of the given expressions are shown as follows:-
(x-9) → degree 1,
(-4x²-6x+9) → degree 2,
(x²-2x+9) → degree 2,
(-3) → degree 0,
(3x-2) → degree 1,
(6x+2) → degree 1
(5) → degree 0.
Therefore the degrees of each expression will be (x-9) degree 1, -4x²-6x+9 degree 2, x²-2x+9 degree 2, -3 degree 0, 3x-2 degree 1, 6x+2 degree 1 and 5 degree 0.
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Solve these 2 problems hurrry!!!!!
Answer:
question 3: n is bigger than or equal to 0
question 5: n is bigger than or equal to 0 (the same as question 3)
Step-by-step explanation:
solve the same way as a equation. just remember the symbols
