The correct set of points that demonstrate a pre-image that has been reflected over x = -1 is A(0,-1) and A'(−2,−1).
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
To reflect a point over the line x = -1, we simply need to flip the x-coordinate of the point across the line. In other words, if a point has coordinates (x,y), its image after reflection over x = -1 will have coordinates (-x,y).
Using this rule, we can check each of the given options:
A(0,-1) and A'(4,-1): The reflection of A(0,-1) over x = -1 should have an x-coordinate of -0, which means it should be the same as the original point. A'(4,-1) does not fit this requirement, so this is not the correct set of points.A(0,-5) and A'(0,3): The reflection of A(0,-5) over x = -1 should have an x-coordinate of -0, which means it should be the same as the original point. A'(0,3) does not fit this requirement, so this is not the correct set of points.A(-5,0) and A'(3,0): The reflection of A(-5,0) over x = -1 should have an x-coordinate of 5, which means it should be (-5,0). A'(3,0) does not fit this requirement, so this is not the correct set of points.A(0,-4) and A'(0,4): The reflection of A(0,-4) over x = -1 should have an x-coordinate of -0, which means it should be the same as the original point. A'(0,4) does not fit this requirement, so this is not the correct set of points.Therefore, the correct set of points is A(0,-1) and A'(−2,−1).
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Please help out with this question! Thanks :)
Eight more than the quotient of a number and 4 equals 5
I need Geometry help!!!
The equation y=4.75x+20 gives the cost y of towing a car if the car is towed x miles.
According to to the model, what is the best estimate of the cost for towing a car 22 miles.
A. $24.75
B $46.25
C $104.50
D $124.50
Answer: $124.50
Step-by-step explanation:
We are given that the equation y=4.75x+20 gives the cost y of towing a car if the car is towed x miles.
To find the best estimate of the cost for towing a car 22 miles., we substitute x= 22 in the above equation, we get
Cost of towing a car 22 miles=[tex]y=4.75(22)+20=[/tex]
[tex]\rightarrow\ y=104.50+20=124.50[/tex]
Therefore, the best estimate of the cost for towing a car 22 miles = $124.50
The hypotenuse of a right triangle is 50 and the short leg is 30, find the projection of the leg onto the hypotenuse
The perimeter of the rectangle is 34 cm. Find the value of x.
A. 2
B. 17
C. [tex] \frac{34}{33} [/tex]
D. 20
jake plans to use a ramp to make it easier to move a piano out of the back of his truck the back of the truck is 33 inches tall and the ramp is 65 inches long. what is the horizontal distance from the end of the ramp to the back of the truck
Answer:
56 inches is the horizontal distance from the end of the ramp to the back of the truck.
Step-by-step explanation:
Height of the back of the truck =33 inches
Length of the ramp = 65 inches
Length of the end of ramp to the back of the truck =?
In triangle ABC:
AB = 33 inches
BC = ?
AC = 65 inches
[tex]AB^2+BC^2=AC^2[/tex] (Pythagoras theorem)
[tex](33 inches)^2+(BC)^2=(65 inches)^2[/tex]
BC = 56 inches
If the radius of the circle is doubled, by what number is the circumference multiplied?
The number by which the circumference is multiplied is:
2
Step-by-step explanation:We know that the circumference of the circle in terms of the radius r is given by:
[tex]\text{Circumference}=2\pi r[/tex]
Now, if the radius is doubled.
i.e.
[tex]r'=2r[/tex]
Hence, the circumference of the new circle is given by:
[tex]\text{Circumference of new circle}=2\pi (2r)\\\\i.e.\\\\\text{Circumference of new circle}=2(2\pi r)[/tex]
i.e.
[tex]\text{Circumference of new circle}=2\times \text{Circumference of original circle}[/tex]
The constant by which the circumference is multiplied is: 2
For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perimeter. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
The perimeter of the first figure is [tex]6\pi +12\sqrt{2}[/tex]
Step-by-step explanation:
Besides that, they got everything right.
6) Ethan uses the function f(x) = 2x2 + 2x + 4 to track the temperature of a substance over 8 hours. You know that f(3) = 28 meaning that the temperature of the substance is 28°C when you plug in a 3 for x. What is the domain of Ethan’s function?
The domain of Ethan's function f(x) = 2x² + 2x + 4 is all real numbers as it is a quadratic function.
Explanation:The domain of a function is the set of all possible input values (x-values) for which the function produces a valid output (y-value). In this case, the function f(x) = 2x² + 2x + 4 represents the temperature of a substance over time. Since temperature is a physical quantity and cannot be negative, the domain of the function must be restricted to non-negative values of x.
To determine the exact domain of the function, we can analyze the expression 2x² + 2x + 4. This expression is always non-negative for any real number x. Therefore, the domain of f(x) = 2x² + 2x + 4 is all real numbers x ≥ 0.
In mathematical notation, the domain of the function can be expressed as:
{x ∈ ℝ | x ≥ 0}
This indicates that the function is defined for all real numbers (ℝ) as long as the value of x is greater than or equal to 0 (x ≥ 0).
A chef has less than 25.8 pounds of rice. She takes out 5 pounds to use during the day and stores the rest in containers. Each container has 2.5 pounds of rice. Let x represent the number of containers. What is the maximum number of containers the chef will be able to fill with rice? 13 12 8 7
The chef has less than 25.8 pounds of rice.
She takes out 5 pounds to use during the day and stores the rest in containers.
Quantity of rice stored = 25.8 - 5 = 20.8 pounds
Each container can store 2.5 pounds of rice.
Let x represent the number of containers.
The number of containers that can be filled = 20.8/2.5 = 8.32
So, the maximum number of containers the chef will be able to fill with rice is 8
Write an equation for the translation of y = 4 x that has the given asymptotes. 15. x = 0, y = 3
look at the pictures bellow
What is 6/7 as a recurring decimal?
What is the area of a sector with a central angle of π3 radians and a radius of 12.4 m? Use 3.14 for π and round your final answer to the nearest hundredth.
Answer:
80.47
Step-by-step explanation:
This is correct! :D
How are the functions y=x and y=x+5 related? How are their graphs related?
Final answer:
The functions y=x and y=x+5 have the same slope but different y-intercepts. Their graphs are straight lines.
Explanation:
The functions y=x and y=x+5 are related in that they have the same slope of 1. This means that for every increase of 1 in the value of x, the value of y will also increase by 1. However, they have different y-intercepts. The function y=x has a y-intercept of 0, while the function y=x+5 has a y-intercept of 5.
Their graphs are related in that they are both straight lines. The graph of y=x is a line passing through the origin (0,0), while the graph of y=x+5 is a line shifted upward by 5 units compared to the graph of y=x.
A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standard deviation were calculated. Based on the results, the exam creator claims that on the same exam, nine times out of ten, seniors will have an average score within 6% of 80%.
Is the confidence interval at 90%, 95%, or 99%? What is the margin of error? Calculate the confidence interval and explain what it means in terms of the situation.
Please solve these for me. I need them for a quiz.
The original price of sn item is $25, but after the discount, you only have to pay $18.50. what is the discount (as a percent)?
The discount is 26%.
What is Discount?The discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product.
Given:
Marked price = $25
Selling price = $18.50
So,
Discount = MP - SP
Discount = 25-18.50
Discount = 6.50
Now,
D% = D/MP *100
D% = 6.5 /25*100
D% = 26%
Hence, the discount percent is 26%.
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Is it possible to toss a coin 20 times and have it land heads-up 20 times? Is this likely to happen? explain.
Find the nth term of the sequence
-3, 0, 5, 12
Work out the reciprocal of 2 x 10(9,as a power). Give your answer in standard form.
HELP QUICK PLEASE!!!!!
A proof for the Corresponding Angles Theorem is shown below. Next to each reason, choose the statement to which it applies.
helppppppppppppppppppppppppppppppppp
If the circumference of a circle is 11inches, which is closest to its area?a.380 square inchesb.95 square inchesc.17 square inchesd.35 square inches
Ninas car exponentially depreciates at a rate of 7 percent per year. If nina bought the car when it was 6 years old for 12000, what was the original price of the car
Answer:
[tex] A(6) = 12000 = A_o e^{-0.07 *6}[/tex]
And solving for the initial amount [tex] A_o[/tex] we got:
[tex] A_o = \frac{12000}{e^{-0.07*6}}= 18263.539[/tex]
So then the original price for the car would be approximately 18263.539$
Step-by-step explanation:
For this case we can use the exponential model given by:
[tex] A(t) = A_o e^{bt}[/tex]
Where:
[tex]A_o[/tex] represent the initial amount for the car
[tex]b=-0.07[/tex] represent the exponential growth/decay rate
t represent the number of years. With t =0 at the begin
After 6 year we have that t =6, and we know this condition:
[tex] A(6) = 12000[/tex]
So then we can use the exponential model formula and the condition given and we have this:
[tex] A(6) = 12000 = A_o e^{-0.07 *6}[/tex]
And solving for the initial amount [tex] A_o[/tex] we got:
[tex] A_o = \frac{12000}{e^{-0.07*6}}= 18263.539[/tex]
So then the original price for the car would be approximately 18263.539$
Which rule describes a translation that is 8 units to the right and 2 units up?
x, y (x + 8, y + 2)
maxine hosted a dinner party at her favorite restaurant. she had to pay $12 per guest. the restaurant took $72 off the bill due to a mistake in the order. if the finale bill is $300, which equation will help the restaurant determine the number of guests at the dinner party
what Is the product? 4n/4n-4*n-1/n+1
Answer:
n/(n+1) . . . . n ≠ 1
Step-by-step explanation:
As written, there is no product. There is ony the sum ...
[tex]4\dfrac{n}{4}-4n-\dfrac{1}{n}+1[/tex]
With appropriate parentheses, this becomes the product of rational functions ...
... (4n)/(4n-4)·(n-1)/(n+1)
[tex]=\dfrac{4n(n-1)}{4(n-1)(n+1)}=\dfrac{n}{n+1}[/tex]
_____
At n=1, the product has a "hole" where the denominator of the original expression is zero, so the expression is undefined. Hence the domain of the product must be restricted to n≠1 (as well as n≠-1).
Simplify. −5x4(−3x2+4x−2)
1:−8x^6−x^5−7x^4
2:15x^8−20x^4+10
3:15x^6−20x65+10x64
4:−15x^8−20x^5+10x^4
Answer:
[tex]15x^{6}-20x^{5}+10x^4)[/tex]
Step-by-step explanation:
We have been given an expression [tex]-5x^4(-3x^2+4x-2)[/tex] and we are asked to simplify our given expression.
We will use distributive property [tex]a(b+c)=a*b+a*c[/tex] to simplify our given expression.
Upon distributing [tex]-5x^4[/tex] we will get,
[tex](-5x^4*-3x^2)+(-5x^4*4x)-(-5x^4*2)[/tex]
Using exponent property [tex]a^b*a^c=a^{b+c}[/tex] we will get,
[tex](15x^{4+2})+(-20x^{4+1})-(-10x^4)[/tex]
[tex](15x^{6})+(-20x^{5})-(-10x^4)[/tex]
[tex]15x^{6}-20x^{5}+10x^4)[/tex]
Therefore, our given expression simplifies to [tex]15x^{6}-20x^{5}+10x^4)[/tex].
The area of a playground is 204 yards squared the width of a playground at 5 yards longer than its length whats the length and the width of the playground