The polygon's WXYZ and ABCD are similar.
What is similar figures?
The same shape between two figures is referred to as similarity. If two figures have congruent corresponding angles and equivalent length ratios on their corresponding sides, they are said to be similar mathematically. The scale factor is the name of this often used ratio.
Consider, the polygons WXYZ and ABCD
The angles, "∠W and ∠A" and "∠Y and ∠C" are congruent to each other.
Also, the angles "∠Z and ∠D" and "∠X and ∠B" are congruent to each other.
Now consider, the sides
The sides "WZ and AD", "XY and BC" and "WX and AB" , "ZY and DC" are having the equivalent ratio.
Therefore, the polygons WXYZ and ABCD are similar.
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Decide whether each equation is true for all, one, or no values of x.
Answer:
Theres nothing to see?
Step-by-step explanation:
Answer:
First is one value of x
Second is no values of x
Third is all values of x
Step-by-step explanation:
Please give brainliest!
What is the area of a triangle if the vertices are at
A(-11, 4)
B(-7, 8)
C(-4, 4)
Answer:
14 square units
Step-by-step explanation:
You want the area of the triangle whose vertices are the points A(-11, 4), B(-7, 8), C(-4, 4).
Area formulaThe area of a triangle is given by the formula ...
A = 1/2bh
where b is the base of the triangle, and h is the height, the1 perpendicular distance to the opposite vertex.
DimensionsThe diagram shows one side is the horizontal line AC. The length of that is the difference of the x-coordinates of the end points:
b = -4 -(-11) = 7
The opposite vertex, B, has a y-coordinate of 8, so the height of the triangle is ...
h = 8 -4 = 4
ApplicationWe now have the information we need to use the area formula:
A = 1/2(7)(4) = 14 . . . . square units
The area of ∆ABC is 14 square units.
__
Additional comment
You can use the diagram and count grid squares to find the dimensions of the triangle.
The president of the Huerta Middle School science club suggested a field trip to the local
aquarium. Tickets will cost $21.25 for the club adviser and $14.75 for each student who
goes.
Write an equation showing how the total cost, y, depends on the number of students going,
X.
Do not include dollar signs in the equation.
►
y =
The equation that shows the total cost, depends on the number of students going is y = 21.25 + 14.75x
Equation:
An equation is made up of two expressions connected by an equal sign.
For example, y = 3x + 6 is an equation.
Given,
The president of the Huerta Middle School science club suggested a field trip to the local aquarium. Tickets will cost $21.25 for the club adviser and $14.75 for each student who goes.
Here we need to find the equation that shows the total cost depends on the number of students.
Let us consider x be the number of students and y be the cost for x number of students.
Here we know that, there is one club advisor whose ticket cost is $21.25 and the cost per student is $14.75.
So, based on these details, the equation for the total cost is calculated as,
=> y = 21.25 + 14.75x
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Little Johnny spent $240 on candy today. If his amount is 2/5 the amount of money his dad gave him, how much did his dad give him orginally
Answer: 600$
Step-by-step explanation:
2/5 of 600 is 240
(100 POINTS) HELP ASAP
Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents.
y to the three fourths power, all over y to the one half power
the eighth root of y to the third power
the square root of y to the three fourths power
the fourth root of y
the square root of y
Answer:
[tex]^4\sqrt{2}[/tex]
Answer: Option C
Step-by-step explanation: just took the test.
What is the equation in standard form of the line that passes through the point (6,-1) and is perpendicular to the line represented by 8x + 3y=1
The required equation of line in standard form that passes through the point (6,-1) and is perpendicular to the line represented by 8x + 3y = 1 is
y = (3/8)x - 13/4
How to find equation of line if one point and equation of perpendicular line is given?
To find the equation of line which is perpendicular to another line
Find slope of the required line using m₁. m₂ = -1Using the given point find y-intercept by substituting in the equation of line.According to the given question:
Let the required equation of line be y = mx + b
where m is the slope of line and b is the y-intercept
Now, 8x + 3y = 1 is perpendicular to the line. Hence, the slopes of both line will satisfy m₁. m₂ = -1
Standard form of the given line is
y = (-8/3)x + 1/3
∴ m₁ = -8/3
Finding m₂, (-8/3). m₂ = -1
∴ m₂ = 3/8 ------ (1)
Using the given point (6, -1) to find y-intercept in the equation
y = (3/8)x + b
-1 = (3/8)(6) + b
∴ b = -13/4
Therefore the required equation of line in standard form is
y = (3/8)x - 13/4
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The length of the base of a triangle with
constant area varies inversely as the height.
When the base is 18 cm long, the height is 7
cm. Find the length of the base when the
height is 6 cm.
The length of the base when the height is 6 cm is 21 cm .
In the question ,
it is given that ,
the length of the base(b) of the triangle varies inversely with the height(h) ,
which is represented as
b ∝ 1/h
b = k/h
where k is the constant of variation
given that when b = 18 , h is = 7
18 = k/7
k = 18 × 7
k = 126
Substituting , the value of k = 126 in the equation b = k/h ,
we get ,
b = 126/h
So, the length of the Base When h = 6,
b = 126/6
b = 21
Therefore, the length of the base when the height is 6 cm is 21 cm .
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a random sample of 26 checking accounts at a bank showed an average daily balance of $300 and a standard deviation of $45. the balances of all checking accounts at the bank are normally distributed. develop a 95% confidence interval estimate for the mean of the population.
The confidence interval estimate for the mean of the population at 95% is [$282.70, $317.30].
Confidence interval is defined as the range of values where a parameter might fall at a given confidence level. It can be calculated using the formula below.
CI = μ ± z x (SD / √n)
where CI = confidence interval
μ = sample mean
z = found by using a z-score table
SD = sample standard deviation
n = sample size
At 95% confidence level, the area in each tail of the standard normal curve is 2.5, and the cumulative area up to the second tail is 97.5.
(100 - 95) / 2 = 2.5
100 - 2.5 = 97.5
Find 0.975 in the z-table to get the value of z.
At p = 0.95, z = 1.96
Plug in the values and solve for the confidence interval.
CI = μ ± z x (SD / √n)
CI = 300 ± 1.96 x (45 / √26)
CI = 300 ± 17.30
CI = [$282.70, $317.30]
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The length of a rectangle is the sum of the width and 2. The area of the rectangle is 63 units. What is the width, in units, of the rectangle?
Answer:
WITDTH=7
Step-by-step explanation:
width = w
length = w + 2.
w(w + 2) = 63 (area)
quadratic equation in w:
w2 + 2w = 63
w2 + 2w - 63 = 0
FACTOR:
(w + 9)(w - 7) = 0
9-7=2
9x(-7) = -63
Two possible solutions:
w + 9 = 0 (solution w = -9) or
w - 7 = 0 (solution w = 7)
The width must be positive, the answer is 7 units.
length = w+2
length = 9
Noble-gas notation: [ar]3s1 [he]2s22p63s1 [ne]3s23p4 [ne]3s1
In longhand notation, the electron configuration is
1s² 2s² 2p6 3s¹
Noble gas configuration
[ Ne ] 3s¹
Complete question:
Choose the electron configuration for sodium (Na) in both longhand notation and noble-gas notation.
What is electron configuration?
The arrangement of electrons in atomic or molecular orbitals of an atom, molecule, or other physical structure is referred to as the electron configuration in atomic physics and quantum chemistry.
In longhand notation, the electron configuration is
1s² 2s² 2p^6 3s¹
Noble gas configuration
[ Ne ] 3s¹
Here, the configuration 1s² 2s² 2p^6 is replaced by [ Ne ].
[ Ne ] represents the electron configuration of [ Ne ].
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Answer:
D) [Ne]3s1
☆
EDGE2023; Good Luck :D!!!
nikolai and teresa are trying to decide which restaurant they should take their friend thomas to for his birthday. nikolai wants to take thomas to a vietnamese restaurant (which serves generous portions of inexpensive but delicious food), and teresa wants to take thomas to a french restaurant (which serves expensive and beautifully presented food). to resolve the issue, they decide to flip a coin. if nikolai wins the coin toss they will take thomas to the vietnamese restaurant and the next time a friend of theirs has a birthday they will take her or him to the french restaurant teresa likes. if teresa wins the coin toss, they will go to the french restaurant first and the vietnamese restaurant later. the conflict style they used is best described as:
The conflict style they used is Collaboration.
Given, that Nikolai wants to take Thomas to a Vietnamese Restaurant (which serves generous portions of inexpensive but delicious food), and Teresa wants to take Thomas to a French restaurant (which serves expensive and beautifully presented food)
To resolve the issue, they decide to flip a coin.
If Nikolai wins the coin toss they will take Thomas to the Vietnamese restaurant and the next time a friend of theirs has a birthday they will take her or him to the French restaurant Teresa likes and If Teresa wins the coin toss, they will go to the French restaurant first and the Vietnamese restaurant later.
Here, we can see that this is a win-win situation as both can go to their favorite restaurant.
So, the conflict style they used is Collaboration. As, Collaboration generates solutions that satisfy both the parties’ needs.
Hence, the conflict style they used is Collaboration.
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Which statement best analyzes the role this event plays in the plot?
In "The Necklace" Mathilde realizes too late that the necklace is a fake.
The statement that best analyzes the role this event plays in The Necklace plot is A. It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.
How to illustrate the information?There are both planned and unplanned events, and the start and end times may be noted. Event types include accidents, celebrations, natural disasters, and rallies. The event is the occurrence of the event.
Loisel is well-liked and adored by all. As she walks away, she searches for the pendant and discovers it has gone missing. After days of searching, she and her husband decide to replace it with something similar. It takes her ten decades to pay for the successor, which costs the same as your salary.
In this case, it best analyzes the role this event plays in leading to the resolution where Mathilde learns a lesson about the downfall that can come from vanity and greed The plot of The Necklace.
Therefore, the correct option is A.
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Complete question
Which statement best analyzes the role this event plays in The Necklace plot?
“Oh, my poor Mathilde! Why, my necklace was paste! It was worth at most only five hundred francs!”
It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.
It is the climax of the story since the reader is most excited at this point.
It serves as a complicating incident because Mathilde will have to suffer the consequences of her actions.
It serves as the falling action because it shows that Mathilde will have to get used to her place in life.
Larissa is standing at point L Pj is standing at point P and Raelynn is standing at points are on segment LR as shown in the figure If LR equals 12 and PR equals 4, find LP. explain
If LR equals 12 and PR equals 4, then: LP = 8 because LP + PR = LR according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution.
What is the Segment Addition Postulate?The Segment Addition Postulate states that when there are two endpoints on a line segment (L) and (C), a third point (P) would lie on the line segment (LR), if and only if the magnitude of the distances between the endpoints satisfy the requirements of this equation LP + PR = LR.
This ultimately implies that, the Segment Addition Postulate is only applicable on a line segment that contains three collinear points.
By applying the Segment Addition Postulate to the given endpoints, the value of LP is given by:
LP + PR = LR
LP = LR - PR
Substituting the given parameters into the formula, we have;
LP = 12 - 4
LP = 8.
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Complete Question:
Larissa is standing at point L. Pj is standing at point P and Raelynn is standing at points are on segment LR as shown in the figure If LR equals 12 and PR equals 4, find LP. explain
LP = 16 because 12 + 4 = 16 according to the addition property of equality.
LP = 8 because 12 - 4 = 8 according to the subtraction property of equality.
PR = 16 because LR + LP = PR according to the Segment Addition Postulate, and 12 + 4 = 16 using substitution.
PR = 8 because LP + PR = LR according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution.
Answer: Lp = 8
Step-by-step explanation:
Got it right
What Two numbers multiply to get 20 and add to get 17?
Step-by-step explanation:
x + y = 17
x = 17 - y
xy = 20
(17 - y)y = 20
-y² + 17y = 20
-y² + 17y - 20 = 0
the general solution to such a quadratic equation
ax² + bx + c = 0
is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
y = (-17 ± sqrt(17² - 4×-1×-20))/(2×-1) =
= (-17 ± sqrt(289 - 80))/-2 =
= (-17 ± sqrt(209))/-2
y1 = (-17 + sqrt(209))/-2 = 1.271583853...
y2 = (-17 - sqrt(209))/-2 = 15.72841615...
the 2 numbers are
1.271583853...
15.72841615...
what are the coordinates of the image of vertex after a reflection of r x-axias (x,y)
The coordinates of the image of vertex after a reflection of r x-axias (x,y) is (x, -y).
To get the coordinates of a point reflected on the x - axis, some important rules be considered here:
1. The x - coordinate of the reflected point is the same as the x - coordinate of the original point.
2. The y - coordinate of reflected point has opposite sign of y-coordinate of original point.
Example:
(1,9) when reflected on the x - axis it will be (1,-9).
Therefore the coordinates of the image of vertex after a reflection of r x-axias (x,y) is (x, -y).
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6 in each of these numbers: 364 346 which sentence correctly compares the values? a. the value of the 6 in 364 is the value of the 6 in 346. b. the value of the 6 in 364 is 100 times the value of the 6 in 346. c. the value of the 6 in 364 is the value of the 6 in 346. d. the value of the 6 in 364 is 10 times the value of the 6 in 346.
The correct answer to this question is d. the value of the 6 in 364 is 10 times the value of the 6 in 346.
The place value of the 6 in 346 is six because it is in the place of ones, whereas the place value of the sixth in 364 is 60 because it is in the place of tens. As a result, the value of 60 is ten times that of the value of 6.
The value of each digit in a number is known as place value. Every digit in a number has a distinct value depending on where it is located. The value of a digit depends on its position in the number, which can result in a number having two similar digits with different values.
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Write 8433 in scientific notation.
I know the answer but can someone give me an explanation and steps.
Answer:
8.433 to the power of 4
Step-by-step explanation:
The reason is because the nukber written in scientific notation always has to be between 1-10. It can't be 84.33 or 843.3. The number has to be between 1 and 10.
0 . 476 × 10 to the 1st power
Answer:
4.76
Step-by-step explanation:
had this on a test today!
together, katya and mimi have 480 pennies in their piggy banks. after katya loses 1/2 and mimi losses 2/3of her pennies, they have an equal number of pennies left. how many pennies did they lose altogether?
The number of pennies they lose altogether is 288 pennies.
How to find the number of pennies they lost together?
Together, Katya and Mimi have 480 pennies in their piggy banks.
Therefore, there total amount of pennies is 480.
After Katya loses 1/2 of her pennies and Mimi loses 2/3 of her pennies, they have an equal number of pennies left.
Therefore,
let
x = number of pennies Katya have
y = number of pennies Mimi have
Hence,
x + y = 480
x = 480
Katya pennies left = x - 1 / 2x = 1 / 2x
Mimi pennies left = y - 2 / 3 y = 1 / 3 y
1 / 2 x = 1 / 3 y
2y = 3x
y = 3 / 2 x
Substitute the value in equation(i)
x + 3 / 2 x = 480
2.5x = 480
x = 480 / 2.5
x = 192
Therefore,
192 + y = 480
y = 480 - 192
y = 288
The number of pennies they lose can be calculated as follows;
Katya losses = 1 / 2 × 192 = 96
Mimi losses = 2 / 3 × 288 = 192
Therefore, they lost 96 + 192 = 288 pennies altogether.
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19)
By which rule are these triangles congruent?
A)aas
B)asa
C)sas
D) SSS
Step-by-step explanation:
Angel side angle rule (ASA)
Mr. solo invested in the certificate of deposit that pays 8% interest investment was $325 how much interest will she receive in one year
Using the simple interest formula, Mr. Solo received $26 interest.
In the given question we have to find how much interest Mr. Solo received.
The investment(P) = $325.
Interest rate(R) = 8%
Time(T) = 1 year
Finding the interest using the simple interest formula.
I = PRT/100
where I = interest
P = Principal Amount
T = Time
R = Interest Rate
Putting the value
I = 325*8*1/100
I = 26
Hence, Mr. Solo received $26 interest.
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Hershey’s Chocolate World is located in Hershey, PA. The cost, , for any large chocolate bars is per bar, . Write a rule to represent this relationship.
. Hershey’s Chocolate World is located in Hershey, PA. The cost, c, for any large chocolate bars is $ 2.25 per bar, b. Write a rule to represent this relationship.
The equation to represent the expression is C ( b ) = 2.25b , where C ( b ) is the cost of b number of chocolate bars
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of b chocolate bars be = C
Let the cost of 1 bar of chocolate bar be = $ 2.25
Let the number of chocolate bar be = b
Now , the equation to find the cost of b number of chocolate bars is ,
The cost of b number of chocolate bar =
cost of 1 bar of chocolate bar x number of chocolate bar
So , the equation is
The cost of b number of chocolate bar = 2.25b
So , the equation to find the cost of b number of chocolate bars is ,
Cost of b chocolate bars C = cost of b number of chocolate bar
C ( b ) = 2.25b
Therefore , the expression is C ( b ) = 2.25b
Hence , The equation to represent the expression is C ( b ) = 2.25b , where C ( b ) is the cost of b number of chocolate bars
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5(x - 3) = - 4(x - 2) + 9x
consider the mad statistic. what would happen if you did not take absolute values before calculating the sum of differences between group means? why would this not be a useful calculation without taking absolute values?
This type of calculation will not give the accurate values and hence, it is not useful to do calculation without taking absolute values.
We are asked that, what would happen if you did not take absolute values before calculating the sum of differences between group means.
As, when we calculate the differences between group means then, some of the values may be negative.
When we add those negative values while evaluating the sum then the sum can be less than the absolute and to get over from this type of problem we always take absolute values of the differences between group means and then get the sum.
Also, this type of calculation will not give the accurate values and hence, it is not useful to do calculation without taking absolute values.
Hence, this type of calculation will not give the accurate values and hence, it is not useful to do calculation without taking absolute values.
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in a certain industrial facility, accidents occur infrequently. it is known that the probability of an accident on any given day is 0.005 and accidents are independent of each other. what is the probability that in any given period of 400 days there will be an accident on one day? use binomial approximation to poisson distribution.
The probability that in any given period of 400 days there will be an accident on one day is 0.2707
Given that;
In a certain industrial facility, accidents occur infrequently. it is known that the probability of an accident on any given day is 0.005 and accidents are independent of each other.
n = 400, p = 0.005
Poisson distribution is given by;
e P(x) = (λˣe^λ ) / x!
Here, Mean(λ) = np
= 400*0.005
=2
The probability that there will be an accident on one day;
(P(x = 1)) = (λxe-λ)/x!
= 2*e-2
= 0.2707
The probability that in any given period of 400 days there will be an accident on one day is 0.2707
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What is the perimeter of pentagon ABCDE with the given vertices?
A (4,2)
B(4, 10)
C (7, 10)
D (15, 4)
E (7, - 2)
Answer:
36
Step-by-step explanation:
The perimeter of ABCDE is equal to AB + BC + CD + DE + AE.
AB = 10 - 2 = 8 (The x values of A and B are the same, therefore the distance between them is the difference between their y values.)
BC = 7 - 4 = 3 (The y values of B and C are the same, therefore the distance between them is the difference between their x values.)
CD = [tex]\sqrt{(X_D - X_C)^2 + (Y_D - Y_c)^2} = \sqrt{(15 - 7)^2 + (4 - 10)^2} = \sqrt{8^2 + (-6)^2} = \sqrt{64 + 36} = \sqrt{100} = 10[/tex]
DE = [tex]\sqrt{(X_E - X_D)^2 + (Y_E - Y_D)^2} = \sqrt{(7 - 15)^2 + (-2 - 4)^2} = \sqrt{(-8)^2 + (-6)^2} = \sqrt{64 + 36} = \sqrt{100} = 10[/tex]
AE =
[tex]\sqrt{(X_E - X_A)^2 + (Y_E - Y_A)^2} = \sqrt{(7 - 4)^2 + (-2 - 2)^2} = \sqrt{3^2 + (-4)^2} = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]
[tex]\Delta \text{ABCDE} = \text{AB} + \text{BC} + \text{CD} + \text{DE} + \text{AE} = 8 + 3 + 10 + 10 + 5 = 36[/tex]
If a person spins a six-space spinner and then flips a coin, describe the sample space of possible outcomes using 1, 2, 3, 4, 5, 6 for the spinner outcomes and H, T for the coin outcomes.
The sample space is S={__}
(Use a comma to separate answers as needed.)
Answer:
Step-by-step explanation:
If one spins a six-space spinner and then flips a coin, then the sample space (S) of possible outcomes using (1, 2, 3, 4, 5, 6) for the spinner outcomes and (H, T) for the coin outcomes will be [S = {(1H), (1T), (2H), (2T), (3H), (3T), (4H), (4T), (5H), (5T), (6H), (6T)}]
As per the question statement, a person spins a six-space spinner and then flips a coin,
And we are required to determine the sample space (S) of possible outcomes using (1, 2, 3, 4, 5, 6) for the spinner outcomes and (H, T) for the coin outcomes.
Now, on spinning a six-space spinner, any one of the 6 faces will come as outcomes, and if these outcomes are denoted by (1, 2, 3, 4, 5, 6).
And after spinning the six-space spinner, if one flips a coin, either of "heads" face or "tails" face will come as outcome, which can be denoted by {H, T}.
Therefore, If one spins a six-space spinner and then flips a coin successively as mentioned above, every possible outcome of the spinner will be accompanied by one of two the possible outcomes the coin. Hence, the sample space (S) of possible outcomes will be [S = {(1H), (1T), (2H), (2T), (3H), (3T), (4H), (4T), (5H), (5T), (6H), (6T)}]
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When f(x) equals X -7/2, what is the value of (F•F^-1) (3)
The value of [tex]f.f^{-1}(x)[/tex] is 3 from the given function.
The given function is f(x)=x-7/2.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The inverse of the given function is
y=x-7/2
Replace y with x and x with y, we get
x=y-7/2
y=x+7/2
[tex]f^{-1}(x)[/tex]=x+7/2
When x=3
[tex]f^{-1}(3)=3+7/2[/tex]
=6.5
f(6.5)=6.5-7/2
=6.5-3.5
=3
Therefore, the value of [tex]f.f^{-1}(x)[/tex] is 3 from the given function.
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Zyndy is twice the age of Vyndel. The sum of their age is twenty-one. Determine their ages.
Pa sagot po pls pasahan na po namin bukas :
Answer:
Zyndy is 14, Vyndel is 7.
Step-by-step explanation:
Let Zyndy's age be represented by 'z', and Vyndel's age be represented by 'v'.
Zyndy is twice the age of Vyndel, so z=2v
The sum of their age is twenty-one, so z+v=21
Sub the first equation above into the second to get:
2v+v=21
3v=21
v=7
Knowing v=7, we can say z=2(v)=14.
Q1 Write a quadratic polynomial
, sum of whose zeroes is 3 and product is -40
The quadratic polynomial for the given conditions of zeros is found as x² - 3x + -40 = 0.
Define the term quadratic polynomial?When a variable term as in polynomial expression has a highest power of 2, the polynomial is said to be quadratic. A second-order polynomial is another name for a quadratic polynomial. A quadratic equation or quadratic function is created if a quadratic polynomial becomes equal to 0. The roots or zeros of both the quadratic equation are the name given to the solutions of this equation.For the stated values,
Sum of zeroes is 3 and product is -40
Use formula,
x² - x (sum of zeros) + (product of zeros) = 0.
Put the values.
x² - x (3) + (-40) = 0.
x² - 3x + -40 = 0.
Thus, the quadratic polynomial for the given conditions of zeros is found as x² - 3x + -40 = 0.
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