if you're good at parabolas please help meeeee
Find the equation of the following parabola
Answers
Answer:
Step-by-step explanation:
it is symmetric about y-axis and its axis is x=0
and vertex is (0,2)
so parabola is y=a(x-0)²+2
(2,4) lies on it.
4=a(2)²+2
4a=2
a=1/2
so y=1/2 x²+2
Related Questions
A bag contains 5 red, 8 black, 7 purple, and 10 yellow marbles. what is the probability of first selecting a purple marble, replaced gn it and then selecting a red marble?
Answers
Answer:
7/30 purple and 5/30 red or 1/6 red
Step-by-step explanation:
if u have a total of 30 marbles and 7 are puple the odds are 7/30 and if u put it back and take out another one the odds of getting a red are 5 out of 30 because there are still 30 and 5 out of the 30 are red but 5/30 = 1/6
Consider a circle whose equation is x2 + y2 + 4x - 6y - 36 = 0. Which statements are true? Check all that appl"
To begin converting the equation to standard form, subtract 36 from both sides.
mu To complete the square for the x terms, add 4 to both sides.
Answers
Answer:
To complete the square for the x terms, add 4 to both sides.To convert the given equation of the circle to standard form we should do as follows.
1. Add 36 to both sides of the equation.[tex]x^{2} +y^{2}+4x-6y-36+36=36\\ x^{2} +y^{2}+4x-6y=36[/tex]
2. We order the terms according to their variables.[tex]x^{2} +4x +y^{2}-6y=36[/tex]
3. Divide the linear term by 2, then elevate it to the square power.[tex]x^{2} +4x + (\frac{4}{2} )^{2} +y^{2} -6y+(\frac{6}{2} )^{2} =36[/tex]
4. Solve operations, and add the same units to the other side of the equation.[tex]x^{2} +4x+4+y^{2} -6y+9=36+4+9\\[/tex]
5. Now, we sum costant terms, and factor both trinomials.[tex](x+2)^{2} +(y-3)^{2} =49[/tex]
As you can observe, the circle has center at (-2,3) and it has a radius of 7 units.
Notice that the second choice is correct, because we added 4 units to both sides to complete the square for the x terms.
Which number is a solution of the inequality −7x−3.5<−10.5
A. −3
B. −1
C. 1
D. 3
Answers
Answer: x > 1
Step-by-step explanation:
Which missing piece of information would allow the triangles in the figure to be proven congruent by AAS? answer: A) ∠C ≅ ∠L B) ∠B ≅ ∠K C) cb ≅ lk D) ab≅ jk
Answers
Answer:
B) ∠B ≅ ∠K
Step-by-step explanation:
The Angle-Angle-Side Postulate (AAS) states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
Given that ∠A ≅ ∠J and AC ≅ JL, then we need that ∠B ≅ ∠K to satisfy postulate AAS (the two angles are ∠A and ∠B in one triangle and ∠K and ∠J in the other one, and the non-included side is AC in one triangle and JL in the other one).
Answer:
A) ∠C ≅ ∠L
Step-by-step explanation: I took the test
Inductive reasoning is when someone uses lots of data to make a conjecture
A. True
B. False
Please answer this I need help now
Answers
The answer to that question is true.
We have given that,
Inductive reasoning is when someone uses lots of data to make a conjecture.
What is the Inductive?Inductive is most often used to describe a kind of reasoning or logic where general theories are formed from specific examples or incidents.
We have to determine whether the statement is true or false.
The answer to that question is true.
To learn more about the inductive visit:
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The graph of any nonvertical line can be represented by an equation in the form_________________________.
Answers
Answer:
Ax+By=C
Step-by-step explanation:
Answer:
an equation
Step-by-step explanation:
just did it
If a line has a slope of 2 and contains the point (-2,1), what is its equation in point-slope form?
A. y+ 2 = -2(x-1)
B. y-1 = 2(x-2)
C. y-2 = -2(x-1)
D. y- 1 = 2(x+2)
Answers
Find three consecutive integers that sums to 15. Show your equation and all work.
Answers
Answer:
4, 5, 6
Step-by-step explanation:
Represent the first number by x. Then the next two consecutive integers are x + 1 and x = 2.
THEN x + x + 1 + x + 2 = 15, WHICH REDUCES TO 3x + 3 = 15.
Then 3x = 12, and x = 4.
The consecutive integers are 4, 5 and 6.
Declan needs euros to go on holiday. He can buy 46 euros for £40. How much will 805 euros cost at the same rate?
Answers
Answer:
700 pounds
Step-by-step explanation:
if 46 euros cost 40 pounds
then 805 euros will cost 805 multiplied 40
whatever answer you get divide it by 46
which statement best describes the function below? \f(x)=2x^2-3x+1
Answers
Answer:
what are the two answers?
Need help with this question
Answers
Answer:
700
Step-by-step explanation:
100+600. = 700 total points
Answer:
700
Step-by-step explanation:
100 + 600 =700 total
What is the domain of the function on the graph?
Answers
Answer:
D: [-3, ∞)
Step-by-step explanation:
The x values go from -3 to infinity
The domain is the set of valid x values. That's all real numbers -3 and up, last choice.
Line segment AB is the diameter of circle C. If the endpoints of the diameter are (3, -4) and (7,2), what are the coordinates of the center of the circle
Answers
Answer:
(5, -1)
Step-by-step explanation:
You find the center of both the coordinates. For the x axis: 3+7 = 10. 10/5=2. For the y axis: -4+2=-2. -2/2 = -1. Put them together and get the answer! :)
What is the measure of 0?
Answers
Answer:
C. 4
Step-by-step explanation:
arc length = radius*θ ,
where θ is an angle in radians.
12 = 3*θ
θ = 12/3 = 4
A line passes through the point (–7, 5) and has a slope of One-half. Which is another point that the line passes through?
A. (–13, 9)
B. (–9, 13)
C. (9, 13)
D. (13, 9)
Answers
Answer:
C. (9, 13)
Step-by-step explanation:
y = mx + b
y = (1/2)x + b
(-7, 5)
5 = (1/2)*(-7) + b
5 = - 7/2 + b
b = 5+ 7/2 = 10/2 + 7/2 = 17/2
y = (1/2)x + 17/2
C. (9, 13)
13 = (1/2)*9 + 17/2
13 = 26/2
13=13 True
Answer:
It is C (9,13)
Step-by-step explanation:
took the test on edge
The figure shown represents the pattern of a glass ceiling. Based on the markings shown, which triangles can be proven congruent? answers: A) ΔQNI ≅ ΔNPK by SSS B) ΔJKL ≅ ΔNKP by SSA C) ΔJKL ≅ ΔNKP by AAS D) ΔPNK ≅ ΔIKN by SAS
Answers
Answer:
D) ΔPNK ≅ ΔIKN by SAS
Step-by-step explanation:
The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
In this case, the congruent sides are IK with NP and NK with itself. And the included angle is ∠K in ΔIKN and ∠N in ΔPNK.
Answer:
answer is C PNK=IKN by SAS
What is the explicit formula for the sequence?
7, 2, –3, –8, –13, . . .
Answers
===========================================================
Explanation:
[tex]a_1 = 7[/tex] is the first term
[tex]d = -5[/tex] is the common difference, telling us to add -5 to each term to get the next term. This is the same as subtracting 5 from each term
The nth term of the arithmetic sequence is,
[tex]a_n = a_1 + d(n-1)\\\\a_n = 7 + (-5)(n-1)\\\\a_n = 7-5(n-1)\\\\a_n = 7-5n+5\\\\a_n = -5n+12\\\\[/tex]
----------------
As a check, let's plug in n = 4 and we should get -8 as our fourth term
[tex]a_n = -5n+12\\\\a_4 = -5(4)+12\\\\a_4 = -20+12\\\\a_4 = -8\\\\[/tex]
so that confirms that portion of the sequence. I'll let you check the other values.
Select two ordered pairs that satisfy the function y = –4x – 1.
Answers
I’m not sure if this helps
Answer:
(-0.25,0) and (0,-1)
Step-by-step explanation:
I used a graphing calculator.
Put function the the calculator
then ind two points on the function and that is your answer
Before a geometric object goes through a transformation it is called which of the following?
(1) the initial image
(2) the beginning image
(3) the pre-image
(4) the preliminary image
Answers
Answer:
The pre-image
Step-by-step explanation:
Hope this helps ya!
Thanks?
What is the r-value of the following data, to three decimal places?
X, 4 5 8 9 13
Y, 26, 11, 13, 2, 1
O A. -0.686
OB. 0.828
O C. 0.686
O D. -0.828
Answers
Answer:
The correct option is D
D) -0.828
Step-by-step explanation:
Step 1:First find the mean of both x data set and y data set
x(mean) = 39/5 = 8
y(mean) = 53/5 = 11
Step 2:(find the values given in table attached below. The formation of table is step 2)
Step 3:Substitute ∑x, ∑y, ∑xy, ∑x² & ∑y² value in the below correlation coefficient formula
r = ∑XY/(√∑X². ∑Y2²
∑XY = -119.4,∑X² = 50.8, ∑Y² = 409.2
r = -119.4/(√50.8 x 409.2)
Simplify above expression
r = -119.4/√20787.36
r = -119.4/144.1782
r = -0.8281
Thus -0.8281 is the correlation between x = {4, 5, 8, 9 and 13} & y = {26, 11, 13, 2 and 1}
Which equation has a k-value of -5? A y=5x+3 B y=5x+5 C y=3x−5 D y=−5x
Answers
Answer:
NANI!?5
Step-by-step explanation:
if (4,5) is on the graph of a function what is the equation
Answers
Answer:
4 × 5 = 20
Step-by-step explanation:
Imagine this: the X is 4 and the Y is 5.
You want to find the area of it, so the equation would be
4 × 5 = 20
HOPE THIS WAS HELPFUL!!!!
Hellllp someone please
Answers
Answer:
296
Explanation:
To solve this problem, subtract 128 from 424.
424 - 128
296
Therefore, Jacobs total score is 296 after he loses 128 points from 424 points.
Answer: 296 points
Step-by-step explanation:
424 - 128 = 296
30 POINTS!!!!Twice the sum of a number and eleven is more than negative two. Boundary point:
Answers
Answer:
2(x + 11) > -2
_________________________________________________________
I feel like we are missing information here, can you comment it down below.
Answer
13
Step-by-step explanation:
question in attachment
Answers
Answer:
1. a= 7, A = 49 degrees
Side A = 7 , Side B = 24, Side C = 25
A= 49 degrees, C = 90 degrees , B=41
2. A= 4, B = 6.9, C=8
A= 22 degrees, B = 68, C= 90
3. A= 7, B = 14.4, C=16
A= 45 , B=45 , C=90
pick a pair of alternate exterior angles
Answers
Answer: angles 1 and 7
Which of the following are characteristics of the graph of the quadratic parent
function?
Check all that apply.
O A. It has a slope of 1.
O B. It goes through the origin.
C. It is a parabola.
D. It is in quadrants I and II.
Answers
Answer:
B, C, and D
Step-by-step explanation:
of this form is y = x2. The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.
The graph of the quadratic parent function is:
A. It is a parabola.
B. It is in quadrants I and II.
What is Function?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.
To check the characteristics of the quadratic parent function,
let us take the basic quadratic function : y = x²
Below is a graph for this parent quadratic function:
Currently, as shown on the graph below:
Basic parabola, that is. Moreover, the quadratic function's graphs typically have the shape of a parabola.
The graph is located in quadrants I and II.
So. These can only be the features of the quadratic parent function's graph.
Learn more about Parabola here:
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Work out the value of x
Answers
[tex]x = 67.5 \\ solution \\ x + 3x + 90 = 360(sum \: of \: complete \: turn) \\ or \: 4x + 90 = 360 \\ or \: 4x = 360 - 90 \\ or \: 4x = 270 \\ or \: x = \frac{270}{4} \\ x = 67.5 \\ hope \: it \: helps[/tex]
Answer: x = 67.5°
Step-by-step explanation:
Is this for area or the magnitude of the angle? Ill solve for the angle. A circle has a total degree of 360. And they give us the right angle of 90°.
So the equation we have here is 90 + 3x + x = 360. Subtract 90 from both sides to get 3x + x = 270. Combine the like terms to get 4x = 270. Now just divide each side by 4 to get 67.5°
x + 13 = 7x+1
Solve for x and show steps
Answers
x + 13 = 7x+1
Subtract x from both sides:
13 = 6x +1
Subtract 1 from both sides:
12 = 6x
Divide both sides by 6:
x = 2
Answer:
x=2
Step-by-step explanation:
x+13=7x+1
6x=12
x=2
Help please! Will give brainly! Take a look at the figure below, which is made up of many small squares. How does each expression (A-D) represent the number of small squares in the figure? Explain?
Answers
Answer:
Step-by-step explanation:
A: Take 8*6 which build a rectangle, then take out 2*3 squares to create the same shape as in the picture
B: split the shape into two pieces, so one rectangle has the sides 4 and 8 and the rectangle has 2 and 5. Multiply the 4 with 8 and 2with 5 then add them together
C: Add the amount of squares in a layer one by one together
D: split the shape into 2 rectangles but instead of a horizontal split, do a vertical split so first rectangle has the sides 5 and 6 and the other has 3 and 4. Multiply 5 with 6 and 3 with 4 and add both results together
you may have to change the english a bit since english is not my first language
