By considering the reflection, the coordinates of the reflected square D'E'F'G' are:
D'(0,1) , E'(0,6), F'(5,6) and G'(5,1)
What is square?A square is a two-dimensional geometric shape that has four equal sides and four right angles. It is a type of rectangle, but with all sides equal. The opposite sides of a square are parallel and of equal length. A square can be defined by its side length or by the coordinates of its vertices.
What is reflection?Reflection is a type of transformation in geometry in which a shape is flipped over a given line, called the line of reflection. The image that is created is a mirror image of the original shape. The line of reflection can be a horizontal line, a vertical line, or any line that is not parallel to the axes. Reflecting a shape over a line involves taking the coordinates of each point of the shape and applying a specific rule (such as multiplying or adding a constant) to the x or y coordinate, depending on the line of reflection. This rule is often simple and easy to apply, such as reflecting over x = 1. The reflected shape will be in the same plane as the original shape but with a different orientation or position.
When a square is reflected in the line x=1, each of the points on the square will have their x-coordinate replaced by 1 subtracted from their original x-coordinate.
The coordinates of the reflected square D'E'F'G' can be found by applying this rule to the original coordinates of square DEFG:
D(1,1) => D'(1-1,1) => D'(0,1)
E(1,6) => E'(1-1,6) => E'(0,6)
F(6,6) => F'(6-1,6) => F'(5,6)
G(6,1) => G'(6-1,1) => G'(5,1)
So the coordinates of the reflected square D'E'F'G' are:
D'(0,1) , E'(0,6), F'(5,6) and G'(5,1)
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3 Write an equation for each function, where x is the
number of months and y is the amount owed.
Mr. Allen's plan:
Mr. Jessup's plan:
rriculum Associates, LLC Copying is not permitted.
In
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ODPPY LINAL
The y-intercept represents the loan amount initially. And the rate of change of the function will be negative The equation of Mr. Allen's plan will be y = - 80x + 560 and Mr. Jessup's plan will be y = - 40x + 400.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
From the graph, the y-intercept of the line represents the value of the loan initially.
From the graph, the slope of both lines is negative, then the rate of change of the function will be negative.
Let 'x' be the number of months and 'y' be the amount owed.
The two points are (0, 560) and (1, 480). Then the equation of the line is given as,
(y - 560) = [(560 - 480) / (0 - 1)](x - 0)
y - 560 = - 80x
y = - 80x + 560
And the equation of the line for Mr. Jessup's plan will be given as,
y = - 40x + 400
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Helppp I’m not sure which one it is !!!
what can 16 and 4 both be divided by
Answer: They can both be divided by 4, 2, and 1
Answer:
1, 2 and 4
explanation:
16/1, 16/2, 16/4
4/1, 4/2, 4/4
/=division sign
Which label on the cone below represents the radius?
Answer:
the radius found on the letter c
Answer:
the radius found on the letter c
On a coordinate plane, a line goes through (negative 12, negative 2) and (0, negative 4). A point is at (0, 6).Which point is on the line that passes through (0, 6) and is parallel to the given line? (–12, 8) (–6, 6) (2, 8) (6, 0)
Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Since, We know that;
Parallel lines have same slopes and different y-intercepts
The formula of the slope of a line which passes through points (x₁ , y₁) and (x₂, y₂) is,
⇒ m = (y₂ - y₁) / (x₂ - x₁)
Since, The given line passes through points (-12 , -2) and (0 , -4)
Hence, Use the formula of the slope above to find the slope of the given line as;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (-4 - (-2)) / (0 - (-12))
⇒ m = (-2) / 12
⇒ m = - 1/6
Since, The two lines are parallel.
Hence, Their slopes are equal
So, The slope of the parallel line = - 1/6
Here, The parallel line passes through point (0 , 6)
Since, The form of the linear equation is y = mx + b, where m is the slope and b is the y-intercept.
⇒ m = -1/6 and b = 6
Hence, The equation of the parallel line is,
⇒ y = x + 6
Now, Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line as;
Point (-12 , 8)
Substitute x = -12 and y = 8
⇒ y = (-12) + 6
⇒ y = 2 + 6 = 8
Clearly, The value of y is equal the y-coordinate of the point.
So, Point (-12 , 8) is on the line.
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Manny has 5 3/4 cups of sugar to make pies. If each pie uses 1/3 cup of sugar, how many pies can Manny make?
Answer:
well im pretty sure he can make like 7 pies
Step-by-step explanation:
If a rectangular plot measures 33 feet by 44 feet, what is
the length, in feet, of the diagonal of the plot?
Answer:
55 feet
Step-by-step explanation:
If you draw it out, the diagnonal along wiht 2 sides of the rectangle make a rigth angles traingle.
Using pythagoras theoreom, [tex]c^{2} =a^{2} +b^{2}[/tex], c is the length of the diagonal and a and b are 2 sides of rectangle.
So c=[tex]\sqrt{a^{2} +b^{2} }[/tex]
=[tex]\sqrt{33^{2} +44^{2} }[/tex]
put in alculator and get:
55
=55 feet
The measure of the diagonal of the rectangle plot which has the measure of 33 feet by 44 feet is 55 feet.
What is the diagonal of the rectangle?The diagonal of the rectangle is the distance from opposite vertices of it. There are two diagonals in a rectangle which are equal in measure.
To find the diagonal of the rectangle, the following formula is used.
[tex]d=\sqrt{l^2+w^2}[/tex]
Here, (l) is the length of the rectangle and (w) is the width of it.
The width of the rectangular plot measures 33 feet and length measure 44 feet. Plug in these values in the above formula to find the diagonal of the plot.
[tex]d=\sqrt{(44)^2+(33)^2}\\d=\sqrt{1936+1089}\\d=\sqrt{325}\\d=55\rm\; ft[/tex]
Hence, the measure of the diagonal of the rectangle plot which has measure of 33 feet by 44 feet is 55 ft.
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What is the equation for the linear relationship in slope intercept form?
Answer:
y=1/2x-3
Step-by-step explanation:
y=mx+b
y=1/2x-3
A pizza has an 18 inch diameter and is sliced into 12 pieces. What is the length of the crust on the edge of one piece of pizza?
answers:
3 pi
4.5 pi
6 pi
1.5 pi
The required length of the curst on the edge of one piece of pizza 1.5 π. Option D is correct.
What is the perimeter?Perimeter is the measure of the figure on its circumference. The perimeter of a circle is given as 2πr, where r is the radius of the circle.
here,
A pizza has an 18-inch diameter
Circumference of pizza = 18π
The pizza is sliced into 12 pieces, and the length of the crust on the edge of one piece of pizza is given as,
= 18π/12
= 1.5π
Thus, the required length of the curst on the edge of one piece of pizza is 1.5 π.
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How do you find the x-intercept and vertex of a quadratic function?
We can find the x-intercept by writing the equation in intercept form which is also known as factored form, y= (x-p) (x-q) where p, q are the x-intercepts.
To find the vertex of the quadratic function we can write the function in standard form , the vertex is located at the point where y=f (x).
A function which has a degree of two is known as a quadratic function.
Example, 3x² + 2 , here the maximum degree is 2 , hence the given function is quadratic. The general form of a quadratic equation is given as ,
f(x) = ax2 + bx + c .
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can some one help me on this
Answer:
480
Step-by-step explanation:
Find the difference between 2400 and 40 by dividing:
2400 / 40 = 60
Multiply each value by 60:
12 x 60 = 720 chocolate
15 x 60 = 900 caramel
5 x 60 = 300 banana
8 x 60 = 480 marshmallow
Question 1
Solve for x.
x(x + 6) = 0
Write your answers as integers or as proper or improper fractions in simplest form.
X =
|
X =
Answer:
[tex]x=-6, 0[/tex]
Step-by-step explanation:
Using the zero-product property, we know that [tex]x=0[/tex] or [tex]x+6=0[/tex].
This means [tex]x=-6, 0[/tex].
A highway noise barrier is 120 m long is constructed in 2 pieces. One piece is 45 m longer than the other one. Find the length of each piece. B)If you are to construct a rectangle with each of the sizes of the pieces beingthe length and width then what is the perimeter? C)What would be the area of that rectangle?
Answer:
37.5 and 82.5
Step-by-step explanation:
A local high school has a student population of 3,020. In a random sample, 42% of the students were female athletes. Approximately how many female athletes can be expected in the entire school population
Answer:
aboout 1268 students
Step-by-step explanation:
please help me :( thank u
It’s simple :(
Answer:
They Have 4 corners.
4 sides.
They are quadrilateral.
Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x is greater than or equal to 86)? A. 0.16 B. 0.475 C. 0.84 D. 0.975
Answer
0.975 is the probability value
Step-by-step explanation:
We start by getting the z score of 86
z-score = (x - mean)/SD
z-score = (86-98)/6 = -12/6 = -2
So we want to find the probability of z greater than or equal to 2
We shall be using the standard normal distribution table here
We have the answer as;
0.975
How do you identify an exponential graph?
Exponential graph is identified by its curve.
An exponential graph is a graph that shows a rapid increase or decrease of a value over time, where the rate of change is proportional to the current value. It is usually represented by a curve that bends upward or downward.
The key characteristic of an exponential graph is that the Y-axis is on a logarithmic scale, and the curve of the graph is a steep curve going either up or down. The equation of an exponential graph is usually of the form y = ab^x, where a is the initial value, b is the growth or decay factor, and x is the independent variable.
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1,0032.43+7,543323,4252,34= ?
Answer:
7.5433234e+12 is your answer
Step-by-step explanation:
Answer:
7.5433234e+12
Step-by-step explanation:
Which of the following is equivalent to 5 a) ²/3 + 2/1/1/0 4 b) 1/2 x 1/1/20 c) / x4 d) / x4 ÷ 4 ? Show your thinking.
HELPPPPP
Jada rode her bike 5 days in a row. She rode the same distance each day. This model represents the situation. Each column represents one mile and the shaded parts of each column represent the fraction of a mile that Jada rode her bike each day.
Which expression can be used to determine the total distance in miles Jada rode her bike over the 5 days?
(A: 5 × 4/5
(B: 5 + 4/5
(C: 5 × 1/4
(D: 5 + 1/4
PLSSSS HELP
Answer: 5 x 4/5
Step-by-step explanation:
In each column there is 4/5 shaded . There are 5 columns .
So , 5 x 4/5
Answer:
A) 5 × 4/5
Step-by-step explanation:
The shaded part each column in the model represents what fraction of a mile that Jada rode her bike each day.
There are 5 columns.
Therefore, to determine the total distance in miles that Jada rode over the days, we can multiply the distance that she rode each day by the number of days that she rode that distance (5 days):
A) [tex]5 \textrm{ days} \times \dfrac{4}{5} \textrm{ mile each day}[/tex]
I need help solving for x
To solve for x, bring the variable to one side, and bring all the remaining values to the other side by applying arithmetic operations on both sides of the equation. Simplify the values to find the result.
What Does Solve for x Mean?Let's begin with a straightforward equation: x + 2 = 7.
How do you obtain X on your own?
Take away two from both sides.
⇒ x + 2 - 2 = 7 - 2\s⇒ x = 5
Check the solution, x = 5, by reentering it into the equation. We get 5 + 2= 7.
R.H.S. L.H.S.
Utilizing triangle properties or the Pythagorean theorem, we can get a solution for the unknown side or angle of a triangle.
With the aid of an example, let's clarify how to solve for x in a triangle.
Two of ABC's legs, which measure 7 units and 24 units respectively, are right-angled at B. Look for the hypotenuse X.
By using the Pythagorean theorem to ABC,
We obtain AC2 = AB2 + BC2, where x2 = 72 + 242, 49 + 576, and 625 where x2 = 625.
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what is 1.65 meters tall measured in centimeters?
Answer:
165 centimeters
Step-by-step explanation:
An example of calculating BMI using the formula: Height = 165 cm (1.65 m), Weight = 68 kg One centimeter is equal to 0.01 meter: 1cm = 0.01m. You are 65 inches tall. 65 * (2.54) = 165.1 cm.
Answer:
165 cm
Step-by-step explanation:
1.65 meters = 1.65 × 100 = 165 centimeters
HELPPP answer A B C D PLEASEE DUE BY MIDNIGHT
Answer:
I'm not exactly sure what you were doing in class but this is what I would do.
I really hope it helps!! :)))
Step-by-step explanation:
for A I would connect the D point of the top angle to the D point of the bottom angle and draw the line across line t. For B the points all share the same angle because the figure is being reflected over line t the position of the figure changes but the size and angles stay the same. use a protractor in B to verify all the angles are the same. For C the only thing that would make sense is that all the lines are parallel because the figure was flipped. and for D just trace one on top of the other
A rectangle has the dimensions 2. 4 x 2. 2. If I want a rectangle that has the area
16 times the size of the original rectangle, what will be my new dimensions?
New dimensions:
The new dimensions of the rectangle will be 4.8 x 4.4.
To find the new dimensions, we need to find the area of the original rectangle (2.4 x 2.2 = 5.28), and then multiply it by 16 to find the desired new area (5.28 x 16 = 84.48).
Since the area of a rectangle is determined by the product of its length and width, we can find the new dimensions by taking the square root of the new area and dividing it by the original length.
So, √84.48/2.4 = 4.4 and √84.48/2.2 = 4.8.These are the new dimensions of the rectangle.
We have to make sure that the new dimensions are in the same proportion as the original one, we can use the same factor of multiplying to get the new length and width.
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Solve for x. 4 48 X 14
can someone solve this for me please?
Answer:
sure, the answer is 50
Step-by-step explanation: Because this is a right triangle, you can use the pythagorean theorem, which is a^2 + b^2 =c^2 so you square 48 and add it to 14 squared and then take the square roo t to get the value of the hypotenuse, note that c will always represent the hypotenuse or longest side, and that pythagorean theorem can only be used on right triangles
Evaluate the series. What is the sum?
23(4)*-*
1
DONE
Which shows the terms of the series?
4 + 12 +48 + 192
X 4 + 12 + 36
3 + 12 +48 + 192
O 3 + 12 +48
Answer:
255
Step-by-step explanation:
The summation value of the term in the series will be equal to
3 + 12 +48 + 192 after calculation.
Here, we have,
We know that, summation:
In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands.
Now we have a given term
∑(n = 1 to 4) 3(4)^n-1
By solving the above term;
∑(n = 1 to 4) 3(4)^n-1
=3 + 12 +48 + 192
Hence the value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.
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HELP DUE IN 10 MINS!
Quadrilateral MATH has vertices M(-3, 1), T(2, 6), H(1, 1).
Plot a point A to make MATH a parallelogram.
1. What are the coordinates of A ( , )??
Answer:
A = (6,6)
Hope this helps!
42/9 in mixed fraction
The temperature was recorded at midnight for 5 consecutive days. The
recorded temperatures are: -2°, 4°, 5°, -6°, and 9°. What is the average
temperature?
no links please and help
Answer:
x = 2
Step-by-step explanation:
(7x + 19) + 90 + 57 = 180
(7x + 19) + 147 = 180
7x + 19 = 33
7x = 14
x = 2
Have a nice day!