Why is the vertex of vertex form y=a(x-h)^2+k (h,k) rather than (-h,k)? If that was y=2(x-5)^2+6, the vertex would be at (5,6) which is (-h,k).
Answers
9514 1404 393
Answer:
(5, 6) is (h, k)
Step-by-step explanation:
Vertex form is an instance of the transformation of parent function f(x) = x². It is vertically scaled by a factor of 'a', and translated so the vertex is point (h, k). That is, the transformed vertex is h units right and k units up from that of the parent function (0, 0).
Parent:
f(x) = x^2
Transformed:
f(x) = a(x -h)^2 +k
__
When you compare the form to your specific instance, you need to pay attention to what it is that you're comparing. As the attachment shows, ...
a = 2-h = -5 ⇒ h = 5k = 6Hence the vertex is (h, k) = (5, 6). The second attachment shows this on a graph.
Related Questions
If A, B, and C represent three matrices of the same size and (A + B) + C = 0, then which statement is true?
Answers
Answer:
Statement c:
a₁₁ + ( b₁₁+ c₁₁ ) = 0
Step-by-step explanation:
The options are:
a: a₁₁ = 0 and b₁₁ = 0
b: a₁₁ - ( b₁₁ + c₁₁ ) = 0
c. a₁₁ + ( b₁₁+ c₁₁ ) = 0
d. a₁₁x( b₁₁ + c₁₁) = 0
We know that A, B, and C are matrices of the same size, so we can write:
[tex]A = \left[\begin{array}{ccc}a_{11}&a_{21}&...\\a_{21}&a_{22}&...\\...&...&...\end{array}\right][/tex]
[tex]B = \left[\begin{array}{ccc}b_{11}&b_{21}&...\\b_{21}&b_{22}&...\\...&...&...\end{array}\right][/tex]
[tex]C = \left[\begin{array}{ccc}c_{11}&c_{21}&...\\c_{21}&c_{22}&...\\...&...&...\end{array}\right][/tex]
And here we have the sum of matrices, remember that:
[tex]A + B = \left[\begin{array}{ccc}a_{11}&a_{21}&...\\a_{21}&a_{22}&...\\...&...&...\end{array}\right] + \left[\begin{array}{ccc}b_{11}&b_{21}&...\\b_{21}&b_{22}&...\\...&...&...\end{array}\right] = \left[\begin{array}{ccc}a_{11} + b_{11}&a_{21} + b_{12}&...\\a_{21} + b_{21}&a_{22} + a_{22}&...\\...&...&...\end{array}\right][/tex]
And we know that (A + B) + C = 0 (a matrix full of zeros)
then:
[tex]\left[\begin{array}{ccc}(a_{11} + b_{11}) + c_{11} &(a_{21} + b_{12}) + c_{12}&...\\(a_{21} + b_{21}) + c_{21}&(a_{22} + b_{22}) + c_{22}&...\\...&...&...\end{array}\right] = \left[\begin{array}{ccc}0&0&...\\0&...&...\\...&...&...\end{array}\right][/tex]
Then:
(a₁₁ + b₁₁ )+ c₁₁ = 0
These are real numbers, so we can rewrite this as:
a₁₁ + ( b₁₁+ c₁₁ ) = 0
Then statement c is the correct one.
Answer:
C
Step-by-step explanation:
unit test review edge 2021
Mr cam bought 6 pizza for the che club if each of the 10 member ate 1/4 of the pizza how many pizza were eaten
Answers
The total number of pizzas consumed by the 10 members of the club is 2.5 and 3.5 pizzas remain, as Mr. Cam bought 6 pizzas and each of the 10 members ate 1/4 of a pizza.
Mr. Cam bought 6 pizzas for the club and each of the 10 members ate 1/4 of the pizza. To find out how many pizzas were eaten, we can use the formula:
Number of members x Pizza per member = Total Pizzas Consumed
In this case, we can substitute the given values in the formula:
10 members x 1/4 pizza/member = 10/4 = 2.5 pizzas
This means 2.5 pizzas were consumed by the members. Since Mr. Cam bought 6 pizzas and 2.5 pizzas were eaten, the total number of pizzas remaining is 6 - 2.5 = 3.5 pizzas.
This equation works because it uses the concept of the unitary method, where we find the total number of pizzas consumed by multiplying the number of members by the number of pizzas each member ate. This way we can find the total amount of pizza consumed.
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Given the sequence : 25, 21, 17,13,... Write the explicit equation that models the sequence.
Answers
Answer:
25,21,17,13,9,5,1
Step-by-step explanation:
Mrs. Read can knit one pair of children's mittens with a ball of yarn six inches in diameter. How many pairs of identical mittens can she knit with a ball of yarn twelve inches in diameter
Answers
She can knit total 8 pairs of identical mittens with a ball of yarn twelve inches in diameter
In the given question, Mrs. Read can knit one pair of children's mittens with a ball of yarn six inches in diameter.
We have to find how many pairs of identical mittens she can knit with a ball of yarn twelve inches in diameter.
The radius of a ball of yarn six inches in diameter is
r = 6/2 = 3 inches
The radius of a ball of yarn twelve inches in diameter is
r = 12/2 = 6 inches
Now, the volume of the six inches yarn = [tex]\frac{4}{3} \pi r^3[/tex]
The volume of the six inches yarn = [tex]\frac{4}{3} \pi (3)^3[/tex]
The volume of the six inches yarn = 36π
Now, the volume of the twelve inches yarn = [tex]\frac{4}{3} \pi r^3[/tex]
The volume of the twelve inches yarn = [tex]\frac{4}{3} \pi (6)^3[/tex]
The volume of the twelve inches yarn = 288π
Now we finding the numbers of pairs of identical mittens she can knit with a ball of yarn twelve inches in diameter
= 288π/36π
= 8
Hence, she can knit total 8 pairs of identical mittens with a ball of yarn twelve inches in diameter.
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Andy wants to find the distance across a river. In
order to find the distance CD, Andy stands at point
D, directly across from point C, and walks 200 feet
to the left, placing a marker at a point E. Andy
continues walking another 300 feet to point A, and
then follows the path to the left, walking until the
markers at points and C line up. Andy marks this
location B and measures AB. What is CD?
Answers
Answer: The answer is C, I just took it.
Step-by-step explanation:
Try to anwer this! i need helo alot of points if its correct <3
Answers
Answer: john spend less then 1/4 of hhis income on blah blah and balh
Step-by-step explanation:
LCM of 2, 6 and 11 must show work
Answers
The Least Common Multiple (LCM) of 2, 6, and 11 is 66.
What is the LCM of 6 and 11?We shall divide the numbers (6, 11) by their prime factors in order to determine the LCM of 6 and 11 using the division method (preferably common). The LCM of 6 and 11 is determined by the product of these divisors.
Step 1:Find the smallest prime number that at least one of the numbers, 6, or 11, can be factored into. As indicated by the ladder arrangement, place this prime number (2) to the left of the supplied numbers (6 and 11).
Step 2: Divide any of the supplied integers (6, 11) by 2 and write the quotient below it if it is a multiple of 2. Any number that is not divisible by the prime number should be brought down.
Step 3: Continue the procedure until there are only 1s left in the
The LCM of 6 and 11 is the product of all prime numbers on the left, i.e. LCM(6, 11) by division method = 2 × 3 × 11 = 66
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A. (3,1)
B. (3,-1)
C. (-3,-1)
D.(-3,1)
Answers
Step-by-step explanation:
D) (-3, 1)
I is 3 steps away from the y axis, so counting 3 steps further you'll have (-3,1)
simplify- -2w - 27 less then or equal to 12
Answers
Answer:
-29w ≤ 12
Step-by-step explanation:
just subtract -2 by 27 then the w at the end and put the less than or equal to 12
use numbers from 1 to 13 you can only use 9 numbers. each row, column. and diagonal has to equal 27
Answers
Answer:12+13+2=27
Step-by-step explanation: pretty self-explanatory
Help me im struggling
Answers
Answer:
XZ/PR = XY/PQ
Step-by-step explanation:
because those are the only variables that lines up with the triangle and goes in order.
please help I found this one a bit confusing
Answers
Answer:
7.2
Step-by-step explanation:
To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.
The Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex]. If we plug the side lengths in for a and b, we get [tex]4^2 + 6^2 = c^2[/tex]. This can be simplified to [tex]16+36=c^2[/tex], or [tex]52 = c^2[/tex]. If we root both sides, we find that c is equal to [tex]\sqrt{52}[/tex], which is slightly more than 7, at around 7.2.
The sum of 7 and 12x is equal to 67.
By constructing an equation, find the value of x.
Answers
Answer:
X = 5
Step-by-step explanation:
67 - 7 =
60 / 12 =
x = 5
Answer:
7+12x=67
12x=67-7
x=60/12
x=5
Step-by-step explanation:
What's an algebraic expression for:
Four times the combined number of apples and pears?
*no links allowed* .
Answers
Answer:
4(a+p) or 4a+4p
Step-by-step explanation:
por que el grado relativo de una EA no puede ser negativo
Answers
Answer:
La F se considera separada ya que denota una calificación reprobatoria y no es necesario que vaya en orden alfabético. Da la casualidad de que "fallar" comienza con una letra que se salta una letra alfabéticamente en la escala. Dicho esto, se usó E en un momento.
Step-by-step explanation:
What is the height formula of isosceles triangle?
Answers
The formula for finding the height of an isosceles triangle is h = (2*A)/b, where h is the height, A is the area of the triangle, and b is the base of the triangle.
The formula for finding the height of an isosceles triangle is h = (2*A)/b, where h is the height, A is the area of the triangle, and b is the base of the triangle. To use this formula, the area of the triangle must first be calculated. To do this, multiply the base of the triangle by its altitude, or the perpendicular distance from the base to the vertex opposite it. Once the area is known, the height of the triangle can be calculated by multiplying the area by two and dividing it by the base. This will give the height of the triangle. For example, if a triangle has a base of 5 and an area of 10, then the height of the triangle is (2*10)/5, or 4.
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F18) if y varies jointly as x and the inverse of z, and y = -5 and z = 6, find y when x = 5 and z = -8
Answers
Answer:
gfifhdrtjttt9668ztjt*
If the ratio between students to female adults is 7:6 while female adults to male adults is 4:1. What is the ratio of students to male adults?
Answers
Answer: 14:3
Step-by-step explanation:
Given
Ratio between students(s) to female(f) adults is 7:6
while ratio between female(f) to male(m) is 4:1
So, we can write
[tex]\Rightarrow \dfrac{s}{f}=\dfrac{7}{6}\quad \ldots(i)[/tex]
Also, we can write
[tex]\Rightarrow \dfrac{f}{m}=\dfrac{4}{1}\quad \ldots(ii)[/tex]
Multiply both equations
[tex]\Rightarrow \dfrac{s}{f}\times \dfrac{f}{m}=\dfrac{7}{6}\times \dfrac{4}{1}\\\\ \Rightarrow \dfrac{s}{m}=\dfrac{14}{3}[/tex]
So, the ratio of the students to male adults is 14:3 .
In ΔNOP,
m
∠
N
=
(
9
x
+
8
)
∘
m∠N=(9x+8)
∘
,
m
∠
O
=
(
4
x
+
13
)
∘
m∠O=(4x+13)
∘
, and
m
∠
P
=
(
2
x
−
6
)
∘
m∠P=(2x−6)
∘
. Find
m
∠
N
.
m∠N
Answers
Answer: 15
Step-by-step explanation: In ΔNOP,
m
∠
N
=
(
9
x
+
8
)
∘
m∠N=(9x+8)
∘
,
m
∠
O
=
(
4
x
+
13
)
∘
m∠O=(4x+13)
∘
, and
m
∠
P
=
(
2
x
−
6
)
∘
m∠P=(2x−6)
∘
. Find
m
∠
N
.
m∠N
A fish swims at an altitude of -20. 2 meters. A bird flies at an altitude of 38. 1 meters. Which animal is closer to sea level?
Answers
The fish is closer to sea level. Sea level is defined as the mean sea level, which is a fixed point of reference for measuring altitude.
The altitude of the fish is -20.2 meters, which is closer to sea level than the altitude of the bird at 38.1 meters. This means that the fish is closer to sea level than the bird. To explain further, sea level altitude is a point of reference that is used to measure the altitude of other objects. Sea level altitude is defined as the mean sea level which is a fixed point.
Therefore, when trying to determine which animal is closer to sea level, it is important to look at the altitude of both the fish and the bird. The altitude of the fish is -20.2 meters, which is closer to sea level than the altitude of the bird at 38.1 meters. This means that the fish is closer to sea level than the bird.
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g Suppose that the retail price of a product has a normal distribution with a mean of $37 and a standard deviation of $20. Approximately, what is the probability that the price grows beyond double the mean
Answers
Retail price of the product will be double its mean will have a prbability of 0.0401.
What is Normal Distribution ?An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.
A probability distribution that is symmetric around the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.
The value of the product considering = $37*2 = $74(x)
Mean = $37
Standard Deviation (SD)= $20
here z= [tex]\frac{x - mean}{SD}[/tex] = [tex]\frac{74 - 37}{20} = \frac{37}{20} = 1.75[/tex]
P(z>1.75) = 1 - [tex]\phi(1.75)[/tex] = 1 - .9599 = 0.0401
Retail price of the product will be double its mean will have a prbability of 0.0401.
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10 POINTS. Answer please.
Answers
The two sets A and B triangle must have identical items, but this does not require that they be put in the same order for the sets to be equal.
Describe the triangle.A triangle is a 2D shape with three vertices, three straight edges, and three straight edges. A key feature of these shapes is that each type of triangle has three inner angles that add up to 180° in these designs. during their math lectures about these angles and how to use this quality to spot missing values.
Here,
Triangle 1 in this instance has two angles, one of 34 degrees and the other of 48 degrees.
The third angle is therefore 180-34- 48=98.
The angles in Triangle 2 are 34 and a, where an is 48, respectively.
In other words, the third angle is 180−34−a=146−a≠146−48=98.
Jennifer claims that given the information at hand, triangles 1 and 2 cannot be compared.
If 34,98,48=34,a,146a., they are equivalent.
How many degrees will Jennifer's claim be ruled untrue? To compare the triangles, use the formula a.
It is crucial to understand that while components in two sets A and B must match, the sets are not always equal if they are not listed in the same order.
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Determine which relation is a function. {(0, 0), (1,−1), (2,−4), (3,−9), (4,−16)} {(2,−6), (2,−2), (2, 0), (2, 3), (2, 7)} {(2, 2), (1, 1), (0, 0), (1, −1), (2,−2)} {(3, 2), (4, 3), (5, −4), (5, 4), (6, 5)}
Answers
Answer:
1
Step-by-step explanation:
{(0, 0), (1,−1), (2,−4), (3,−9), (4,−16)}
Rami practices his saxophone for 56 hour on 4 days each week. How many hours does Rami practice his saxophone each week
Answers
This tells you he practiced for 3 2/6
How many hours does rami practice his saxophone each week?A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.
We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value.
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
Given,
you take 5/6 and multiply it by 4/1.
which gives you 20/6
then reduce it by dividing the top number by the bottom number
which gives you 3 with a remainder of 2
you then place the remainder over the
This tells you he practiced for 3 2/6
The complete question is :Rami practices his saxophone for 5/6 hour on 4 days each week.
How many hours does Rami practice his saxophone each week?
[] 2/[] Hr
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The product (-9 )x(-5) x(-6)x(-3) is positive whereas the product (-9)x(-5)x6 x(-3) is negative. Why?
Answers
Answer:
Answers below!
Step-by-step explanation:
-9 x -5 = 45
45 x - 6 = -270
-270 x -3 = 810
The answer is positive because a negative multiplied by a negative equals a positive number.
-9 x -5 = 45
45 x 6 = 270
270 x -3 = -810
This answer is negative because a negative multiplied by a positive equals a negative number.
Find the volume of a pyramid with a square base, where the side length of the base is 6.1\text{ m}6.1 m and the height of the pyramid is 4.7\text{ m}4.7 m. Round your answer to the nearest tenth of a cubic meter.
Answers
Answer:
58.3m^3
Step-by-step explanation:
volume of a pyramid = 1/3 x length x width x height
1/3 x (6.1 x 6.1 x 4.7) = 58.3 m^3
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
find the area of the rectangle whose length is 16cm and breath is 8am
Answers
Answer:128 cm^2
Step-by-step explanation:
Find the mean of the data in version a and round to the nearest tenth 20,20,24,24,25,25,25,25,26,26,26,27
Answers
Answer:
27 27 27
Step-by-step explanation:
as u can see it is going 25 25 25 three times so what u do with the 27 is this
27 27 27 three times. Hope This Helps
A large helium balloon is tethered to the ground by two taut lines. One line is 100 ft. Long and makes an 80 degree angle with the ground. The second line makes a 40 degree angle with the ground. How long is the second line?
Answers
The second line is 153ft long.
We are making a figure out of the given statment. Where we have the Triangle ABC and other two Triangle ADB and ADC inside Triangle ABC. Here Angle ADC = 80 degress and Angle ACD = 40 egress.
According to given statement and figure,
In triangle ABO, AD= 100 ft
Hence, BD/AD = Cos80
or, BD = (100 * Cos80)
or, BD = 17.36 ft
Now, AB/AD = Sin80
or, AB = (100* Sin 80)
or, AB = 98.48
Now, In case of triangle ABC
AB/AC = Sin40
or, AC = AB/ Sin 40
or, AC = 98.48/ Sin40
or, AC = 153.2 ft (nearly equal to 153 ft)
The second line is 153ft long.
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Figure S is reflected over the y-axis and then rotated 90 clock wise. Which sided of figure T is congruent to side 1 of figure S.
Answers
Answer:
KL
Step-by-step explanation: