The correct set of image points for trapezoid WX'Y'Z' is the image points are W'(4,-2), X'(3, -4), Y'(1, -4), Z'(0, -2).
What is trapezoid?A trapezoid is a quadrilateral in American and Canadian English that has at least one set of parallel sides. A trapezium is the term used in British and other varieties of English. In Euclidean geometry, a trapezoid is invariably a convex quadrilateral. The parallel sides are referred to as the trapezoid's bases.The bases of a trapezoid (the top and bottom) are parallel to one another. A trapezoid's opposite sides are equal in length (isosceles). Angles close together add up to 180° Both bases and the median run parallel.A parallelogram has two pairs of parallel sides, whereas a trapezoid has one pair of parallel sides. A parallelogram is a trapezoid, therefore.Given data :
From the given figure, it is clear that the vertices of the trapezoid are W(-4,2), X(-3,4), Y(-1,4), Z(0,2).
If a figure is rotated 180 degrees about the origin, then
( x, y ) → ( -x, -y )
Using this rule, we get
W (-4, 2 ) → W' ( 4, -2 )
X ( -3, 4 ) → X' ( 3, -4 )
Y ( -1, 1 ) → Y' ( 1, -4 )
Z ( 0,2 ) → Z' ( 0, -2 )
Therefore, the image points are W'(4,-2), X'(3, -4), Y'(1, -4), Z'(0, -2).
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The average number of customers at the cafe fell by 10% in the month of May. If 140 fewer customers visited the cafe in May, how many customers visited in April?
Answer:
1400
Step-by-step explanation:
You want to know the number of customers in April if the number in May was 10% lower. That number was 140 fewer.
PercentThe problem statement is telling us ...
April - (10% × April) = April - 140
10% × April = 140 . . . . . . . . subtract April, multiply by -1
April = 140/10% = 1400 . . . . divide by 10%
The number of customer visits in April was 1400.
__
Additional comment
The 1400 customers in April fell by 140 to 1260 in may. That's 10% fewer than in April.
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The table below shows the number of bacteria in a laboratory sample after x minutes. Fill in the missing blanks (HELP!!!)
Answer:
2.25
4.5
9
18
36
72
144
288
Step-by-step explanation: you take the number and multiply it by itself. but went it comes to the negative numbers you have to divide the number by 2 then take the answer you get from that and add it by itself so 4.5+4.5=9. its pretty simply when you under stand how to do it.
Below are graphs of several functions. Which functions have the specified domain and range ? There may be more than one correct answer
For the given value of domain and range , By observing the figure, The correct answer are options B,C and E.
What do you mean by function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
What are domain and range of the function?A function's domain and range are the set of all possible inputs and outputs, respectively. A function's domain and range are crucial components. The range includes all of the function's output values, whereas the domain includes all potential input values from the set of real numbers.
domain : (x | x 3/2)
range : (-∞ , 2)
For these values, Option B , C and E holds that they exists when x 3/2 and it's output that is y exists between (-∞ , 2).
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Consider the line y = 8x-2.
Find the equation of the line that is parallel to this line and passes through the point (3, -2).
Find the equation of the line that is perpendicular to this line and passes through the point (3,-2).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Answer:
parallel line: y = 8x - 26
perpendicular line: y = -1/8 x - 13/8
Step-by-step explanation:
1.
Lines are parallel, so slopes are equal, and y-intercepts are different.
Given line:
y = 8x - 2
New line:
y = 8x + b
Use point (3, -2) and solve for b.
-2 = 8(3) + b
-2 = 24 + b
b = -26
Equation: y = 8x - 26
2.
Lines are perpendicular, so slopes are negative reciprocals.
Given line:
y = 8x - 2
New line:
m = -1/8
y = -1/8 x + b
Use point (3, -2) and solve for b.
-2 = -1/8 × 3 + b
-2 = -3/8 + b
b = -16/8 + 3/8
b = -13/8
Equation: y = -1/8 x - 13/8
4. There are 36 units in a case. You have 90 loose units of stock in the store. The store manager has requested a stock count in CASES. How many cases of stock will 90 units fill? CALCULATION:
There are 36 pieces in one case. The store has 90 loose storage units. The store manager requested an inventory count where 2.5 units would fill her 90 units.
What is the inventory process like?Typically, this process involves the retailer (or team of employees) walking through the retailer's warehouse and storefront, counting each item. Information is captured manually using pen and paper or electronically using a mobile device.
Create a storage location map showing each shelf, bin, drawer, receiving dock, and return area. Place geographic divisions, not product lines, between each storage area. Let's start counting! After each counter completes a certain range, allow a manager or someone else to check the count.
90/36 = 2.5
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Audrey mowed 12 lawns in 9 hours. What was her rate of mowing in hours per lawn?
On solving the provided question, we got to know that - arbitrary number So the money she earns is equal to 10 times w plus 15, which can be expressed as: 10w + 15
what is arbitrary number?A number is considered arbitrary if its only unique characteristic is that it has a high value. You can think of them informally as the numbers that your opponent picked. Any number appears to be worthless intuitively.
Since the question allows us to use any number, we decide to make the money she makes from washing the car equal $10. We'll also assume that she gets paid $15 to wax the car.
So the money she earns is equal to 10 times w plus 15, which can be expressed as:
10w + 15
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what does a duck say
Answer:
theres three possible answers, they either QUACK, HONK, or hum
Step-by-step explanation:
Show that 12 multiplied by 4 is 48, using at least three daily life examples.
Answer:
Step-by-step explanation:
If there are 12 cookies in a package and you want to buy 4 packages, you will need a total of 12 x 4 = 48 cookies.
If you have a dozen eggs and you want to make 4 omelets, you will need a total of 12 x 4 = 48 eggs.
If you have 12 pieces of fruit and you want to make 4 fruit salads, you will need a total of 12 x 4 = 48 pieces of fruit.
show that 2/4+1/4=3/4 and not 3/8 using pictures
Answer:
Here
Step-by-step explanation:
Step by step solution:
Fractions with the same denominators can be added together by simply adding the numerators while retaining the common denominator.
The numerators should be added together while maintaining a common denominator. Add fractions with the same denominators by following the methods shown below:
Given:
=2/4 + 1/4
=(2+1)/4
=3/4
Therefore, 2/4 + 1/4=3/4 and not 3/8
Note:
Keep the following in mind while adding fractions. Make sure that the fractions denominators match.If they don't share the same denominator, change them to compare fractions that do.Once the denominators are equal, add the numbers in the numerator.In your response, place the new numerator over the old one.The fractions denominators could have changed when you reduced them to the same common denominator.To read more about "Fraction" here:
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In 8 hours, Badria reads 48 chapters of a book. What is her rate in chapters per hour?
Answer:
6chapters per hour
Step-by-step explanation:
Take 48 chapters divided by the no hrs which are 8
Bookerville has a record of 12 inches of rain in 5 days. How much will it have to rain on Friday to beat the record by one tenth of an inch
The amount of rain required would be 2.5 inches.
What is the addition?
Addition is a mathematical operation that represents the process of combining two or more numbers together. The result of this operation is called the sum. The addition operation is often represented using the symbol "+", and it can be used to add any two or more numbers together.
To beat the record by one-tenth of an inch, an additional 0.1 inches of rain must fall.
Currently, the average amount of rain per day is 12 inches / 5 days = 2.4 inches per day.
So, the amount of rain that must fall on Friday to beat the record by one-tenth of an inch is 2.4 inches + 0.1 inches = 2.5 inches
Hence, the amount of rain required would be 2.5 inches.
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1/4×1/12 ÷ 1 page = blank
1page
Answer:
0.02083333333
A person is using a new teenis ball launching machine that is 15 inches by 14. Assuming the machine uses tennis balls that are spherical and 2.7 inches in diameter, how many tennis balls should fit in one of the top of the machine?
The number of tennis ball fit in the machine are 305 balls.
What is volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.
given dimensions of machine 15 x 15 x 14
volume of machine is 15 x 15 x 14 = 3150 cubic inches
and shape of ball is spherical,
with dia = 2.7 inches
radius of ball = 2.7/2 = 1.35 inches
volume of sphere is 4/3πr³
V = 4/3πr³
V = 4/3(3.14)(1.35)³
V = 4/3(3.14)(2.46)
V = 10.30 cubic inches
the area covered by 1 ball is 10.30 cubic inches
the number of ball in machine is 3150/10.30
the number of ball in machine = 305.82 = 305 approx
Hence 305 balls can be fit in machine.
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Which equation has two solutions? A. W=-1. B. W=1. C. W=-2. D. W=0
Answer: An equation has two solutions when it has two distinct values that can be assigned to the variable to make the equation true.
In this case
equation A. W=-1 is a single solution
equation B. W=1 is a single solution
equation C. W=-2 is a single solution
equation D. W=0 is a single solution
So none of the given equations have two solutions. they all have only one solution.
It's worth mentioning that, if the equation is a quadratic equation (in the form of ax² + bx + c = 0) and it has a non-zero discriminant (b² - 4ac) then the equation will have two distinct real solutions.
In this case the equations are not in that form, and also doesn't show any signs of having two solutions.
Step-by-step explanation:
Complete the following indirect proof (proof by contradiction).
Given: Adjacent angles LA and ZB, formed by the intersection of two lines
Prove: At least one of the angles LA and B has measure 90° or greater
First, we assume that this conclusion is false. In other words, we assume that the contrary statement "none of the two angles has measure [tex]90^{\circ}[/tex] or greater" is true.
The assumption is equivalent to the following two statements:
(1) [tex]m\angle A\text{ } \boxed{ < 90^{\circ}}[/tex]
(2) [tex]m\angle B\text{ } \boxed{ < 90^{\circ}}[/tex]
Using (1) and (2) and the addition properties of inequalities, we conclude that [tex]m\angle A+m\angle B \text{ } \boxed{ < } \text{ } 180^{\circ}[/tex].
On the other hand, two adjacent angles form a linear pair. Thus, the last statement contradicts the Linear Pair Property, which states that for a linear pair of angles [tex]\angle A[/tex] and [tex]\angle B[/tex], [tex]m\angle A+m\angle B \text{ } \boxed{=} \text{ } 180^{\circ}[/tex].
Therefore, the assumption made is false, and the statement "at least one of the angles [tex]\angle A[/tex] and [tex]\angle B[/tex] has measure [tex]90^{\circ}[/tex] or greater" is true.
What is 6,789,694,976 x 9,452,569,132
*Can not use calculator
The product of the given numbers can be represented in a scientific notation form as = 6418 × 10^19 (approximately)
What is multiplication?Multiplication can be defined as the repeated addition of a given value with the purpose of arriving to an expected value.
The multiplication of two given numbers is the same thing as the products of the given number and it's represented by the sign (X)
The product of 6,789,694,976 x 9,452,569,132 = 6418 × 10^19
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salve for y √(7-x)²+(9-y)²
The solution for y in the equation √(7 - x)² + (9 - y)² is infinite many solutions
How to determine the solution for yFrom the question, we have the following parameters that can be used in our computation:
√(7-x)²+(9-y)²
Express tthe equation properly
So, we have the following representation
√(7 - x)² + (9 - y)²
The above is an expression, not an equation
This means that the value of the variable y can take any value and the equation will be true
In other words, it means that the variable y has infinite many solutions because it is not an equation but it is an expression
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Let L be the line through A = (1, 2,−1) and B = (5,−3, 4).
Answer the following questions below:
1. Find a direction vector of L
2. Find a parameterization of L.
3. Find the two points on L that are at distance 2 away from A.
4. Find a unit speed parameterization of L.
Answer:
(4, -5, 5)L = (1+4t, 2-5t, -1+5t)(1+4√66/33, 2-5√66/33, -1+5√66/33), (1-4√66/33, 2+5√66/33, -1-5√66/33)(1-2t√66/33, 2+5√66/66, -1-5√66/66)Step-by-step explanation:
Given L is the line through A(1, 2, -1) and B(5, -3, 4), you want its direction vector, a parameterization of L, 2 points on L that are 2 units from A, and a unit speed parametrization of L.
1. Direction vectorA direction vector for L will be the vector AB.
[tex]\overrightarrow{AB}=B-A=(5,-3,4)-(1,2,-1)\\\\\boxed{\overrightarrow{AB}=(4, -5,5)}[/tex]
2. Parameterized lineThe parameterized equation will be ...
[tex]L=A+t\cdot\overrightarrow{AB}\\\\\boxed{L=(1+4t,2-5t,-1+5t)}[/tex]
3. Distance 2The direction vector has length √66, so we can find two points on L that are 2 units from A by using t = ±2/√66 in the parameterized equation.
Here, they are:
P1 = L(2/√66) = (1 +8/√66, 2 -10/√66, -1 +10/√66)
P2 = L(-2/√66) = (1 -8/√66, 2 +10/√66, -1 -10/√66)
In the Answer section above, these are written with rationalized denominators.
4. Unit speedThe unit speed parametrization uses the unit direction vector instead of the unnormalized direction vector in the parameterized equation. Effectively, t is scaled by a factor of 1/√66.
L = (1 +4t/√66, 2 -5t/√66, -1 +5t/√66)
In the Answer section above, this is written with rationalized denominators.
You might notice here that it is easier to answer part 3 if you have this equation. You need only substitute t=±2 to get the points 2 units from A.
Ques below: please answer that
You want to compare the ratios 3:12 and 7:28 to see if they're equal. You know that you need to compare the products of the extremes against the product of the means. Which two values are the means for this comparison? A. 3 and 7 B. 12 and 28 C. 3 and 28 D. 12 and 7
Answer:
Step-by-step explanation:
3:12 7:28
The means are the second and third terms in the proportion.
The extremes are the two outside terms.
12 and 7 are the means.
(3 and 28 are the extremes.)
So thre answer is D. 12 and 7.
‼️PLEASE HELP ASAP!!!!‼️
Select the table that represents a linear function. (Graph them if necessary.)
You select a family with four children. If M represents a male child and F a female child, the set of equally likely outcomes for the children's genders is {FFFF, FFFM, FFMF, FMFF, MFFF, MFFM, MFMF, MMFF, FFMM, FMFM, FMMF, FMMM, MFMM, MMFM, MMMF, MMMM. Find the probability of selecting a family with exactly four female children.
Malia signed up for a gym membership 14 weeks after Jane.
Let a represent the number of weeks Malia has been a member and b represent
the number of weeks Jane has been a member.
Find the value of b when a = 9.
When Malia joined a gym 14 weeks after Jane did, the value of b was 5.
What does "proportional relationship" mean?Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them.
What is a good illustration of an unproportional relationship?A car's fuel capacity and efficiency, as well as how far it can go on a single charge of its electric battery, are important considerations. A nonproportional connection can be used to describe this.
a + b = 14
9 + b = 14
b = 14-9 = 5
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The student council is responsible for setting up the tables for
an awards banquet at the end of the year.
There are 144 people
who confirmed that they would attend the banquet.
The equation
8x +12y = 144 models this situation, where x is the number of
circular tables and y is the number of rectangular tables.
Find the x- and y-intercepts.
On solving the provided question, we can say that - here in the slope intercept [tex]2y / 2 = -4x /2 + 24 / 2 = > y = -2x + 12\\[/tex]
what is slope intercept?The point on the y-axis where the slope of the line passes is known as the intersection point in mathematics. the location on a line or curve where the y-axis crosses that point. This is demonstrated by putting y = mx+c as the equation for the straight line, where m denotes the slope and c the y-intercept. In the intercept form of the equation, the slope (m) and y-intercept (b) of the line are highlighted. The slope is m, and the y-intercept is b for equations in the intercept form (y=mx+b). Additionally, certain equations may be recast to seem like slope intercepts. For instance, if y=x is rewritten as y=1x+0, the slope becomes 1 and the y-intercept becomes 0.
y = mx + c
m = slope, c = y-intercept
[tex]4x + 2y = 24\\2y = -4x + 24\\2y / 2 = -4x /2 + 24 / 2\\y = -2x + 12\\[/tex]
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use partial quotients to solve
5,140÷9=
Answer: 571.11111...(Fraction: 9/28)
Step-by-step explanation:
5,140÷9 = 571.11111...
HELP with this equation
Answer:
83°
Step-by-step explanation:
-4m+51-4m+42= 158°
-8m+94= 158
-8m= 64
m= -8
JMK= -4m+51
= -4(-8)+51
= 32=51
= 83°
what is 3 3/4 - 1 1/4?
Answer:
2 2/4 or 2 1/2
Step-by-step explanation:
3-1=2
3/4-1/4=2/4
2/4=1/2
BRAINLIST! Please help
In the right triangle ABC with altitude BD on hypotenuse AC, the length of AC is 40.
what is triangle ?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. Triangle angles add up to 180 degrees when combined together.
given
Use similar triangles,
BAC and DAB are similar
therefore
CA/AB = BA/AD
CA/20 = 20/10
cross multiply
AC = CA = 20*20/10 = 40
Or use metric relations
CA*AD = BA^2
CA = BA^2/AD = 20^2/10 = 40
In the right triangle ABC with altitude BD on hypotenuse AC, the length of AC is 40.
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Whoever answers the previous question after this gets 50 points and brainliest if correct.
Step-by-step explanation:
I said it I knew it I did it I submit for you so I'm the one that is if if you know me.
2 Log y= 1/2 Log 16-Log 2 + 2 Log 3
Answer:
Based on the given equation, the function g is an exponential function with base 2. The y-intercept of the function g is at (0, 4).
The graph of function f is not described, so it is not possible to accurately compare the two functions. In order to accurately compare the two functions, it would be helpful to have more information about the graph of function f, such as the vertex and any other points that the graph passes through.