Answer: 2,-6
Step-by-step explanation:
The vertex of the parabola defined by the equation x² - 4x + y + 10 = 0 is (2, -6).
To maintain the equality of the equation, we need to add and subtract 4 within the parentheses.
3. Rewrite the equation by adding and subtracting 4 within the parentheses: x² - 4x + 4 + y = -10 + 4.
Now, we can factor the perfect square trinomial (x - 2)² and simplify the right side of the equation.
4. Factor the perfect square trinomial: (x - 2)² + y = -6.
The equation is now in the form (x - h)² + k = y, where (h, k) represents the vertex of the parabola. Therefore, the vertex of the parabola is (2, -6).
To learn more about parabolas;
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The complete question:
Complete the square to find
the vertex of this parabola.
x² - 4x + y + 10 = 0
Construct a circle and divide it into six congruent arcs. Inscribe an equilateral triangle. Draw diameters from each vertex of the triangle > Inscribe a circle in the triangle. (Hint: the inscribed circle will have the same center as the original circle.) ► Inscribe an equilateral triangle in the second (smaller) circle, with endpoints on the diameters previously drawn. Shade to highlight the pattern.
A cylinder with radius 6 cm and height h cm has the same volume as a sphere with radius 4.5cm
Find the value of h.
(The volume, V, of a sphere with radius r is V=4/3pie r^3)
Answer:
h = 4.22 cm
Step-by-step explanation:
Mathematically, we have the volume of a cylinder as;
V = pie * r^2 * h
We have it that the radius is 6 cm
V = pie * 6^2 * h
for the sphere, we have it that;
V = 4/3 * pie * r^3
V = 4/3 * pie * 4.5^3
We can proceed to equate both volumes;
pie * 6^2 * h = 5/3 * pie * 4.5^3
pie on both sides cancel out
6^2h = 5/3 * 4.5^3
36h = 151.875
h = 151.875/36
h = 4.22 cm
On Tuesday, there were 400 customers at a movie theater, and each customer paid $8 for a ticket. On Wednesday, the owner of the movie theater reduced the regular ticket price from $8 to $6 for tickets that were purchased before 6 p.m. If the daily ticket sales for the two days were the same, and 100 people paid $8 for a ticket on Wednesday, how many people paid $6 for a ticket on Wednesday?
Answer:
400
Step-by-step explanation:
6x + 800 = 3200
6x = 3200 - 800
6x = 2400
= 2400 / 6
x = 400
Hope this answer helps you :)
Have a great day
Mark brainliest
The number of people who paid $6 for a ticket on Wednesday are 300.
What is subtraction?The act or process of subtracting is a mathematical operation in which the difference between two numbers or quantities is calculated.
According to the given question.
Number of tickets sales for Wednesday = 400
Also, on Wednesday number of people who paid $8 for tickets = 100
Therefor,
The number of people or customer who paid $6 for a ticket on Wednesday = Total number of people who purchased tickets - total number of people who purchased tickets for $8
[tex]= 400 - 100\\= 300[/tex]
Hence, the number of people who paid $6 for a ticket on Wednesday are 300.
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PLEASE I NEED HELP!! NO LINKS!!
Answer:
m<N = 32°
m(NQ) = 106°
Step-by-step explanation:
Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)
<N is an inscribed angle
It's intercepted arc = arc MP = 64°
Therefore,
m<N = ½(64°)
m<N = 32°
m<P = ½(m(NQ)) (inscribed angle theorem)
53° = ½(m(NQ))
Multiply both sides by 2
2*53° = m(NQ)
106° = m(NQ)
m(NQ) = 106°
solve each equation using the substitution method.
42=3p
Answer:
14
Step-by-step explanation:
42=3p
42/3=3p/3
14=p
Use the function below to find F(2)
F(x)=1/3•4^x
Answer
The answer is 16/3
Step-by-step-explain
F(x) = ⅓ • 4ˣ, F(2)
F(2) = ⅓ • 4²
F(2) = ⅓ • 16
F(2) = 16/3
Thus, The answer is 16/3
-TheUnknownScientist
Answer:
Step-by-step explanation:
16/3
I hope it's helpful
PWEASE HELP ILL GIVE BRAINLIEST
Rhona decided to buy a larger 1 1/4 pound package of baking flour rather than a 5/8 pound package. How much heavier is a larger package than a smaller one?
Answer:It is 5/8 of a pound heavier
Step-by-step explanation:
1 1/4 - 5/8=5/8
Answer:
The larger package is twice as heavy
Step-by-step explanation:
first make 1 1/4 into 5/4 and then multiply the top and the bottom by 2 to get a common denominator of 8. you will end up with 10/8. you can then subtract 5/8 from 10/8, leaving you with 5/8.
5. Find dy/dx of
of the following
the following functions
y²= 4ax
Answer:
A general rule for functions of the general form:
y = A*x^n
is:
dy/dx = n*A*x^(n - 1)
Then, for the function:
y^2 = 4*a*x
Then we can rewrite this as:
y = (4*a*x)^(1/2) = √(4*a)*x^(1/2)
Then we have:
A = √(4*a)
n = 1/2
Now we can use the above rule to get
dy/dx = (1/2)*√(4*a)*x^(1/2 - 1)
dy/dx = (1/2)*√(4*a)*x^(-1/2)
dy/dx = (1/2)*√(4*a/x)
dy/dx = √(1/4)*√(4*a/x)
dy/dx = √( (1/4)*4*a/x)
dy/dx = √(a/x)
5.5555 pounded to the nearest
hundredth
IS
Answer:
5.55000
Step-by-step explanation:
i think
Answer:
5.56
Number:
5.555
Nearest:
Hundredths (2 decimals)
Mode: Round
=5.56
Can someone please explain Conditional probability to me
Answer:
conditional probability is probability based on logic and past events instead of your current data which you got from whichever experiment you did (that is experimental probability)
Step-by-step explanation:
If the graph of a function increases as x increases and decreases
as x decreases, the degree must be _____
Answer:
Degree must be odd.
Step-by-step explanation:
In the end behavior of quadratic functions, the graph will either rise or fall as x increases infinitely. Likewise it will also rise or fall as x decreases infinitely.
Now, when x increases or decreases up to infinity(∞) and f(x) increases up to infinity (∞), it is said to be an even powered function and thus the degree is said to be even.
Similarly, when x increases up to infinity(∞) and f(x) increases up to infinity(∞), it is said to be an odd powered function and degree is odd.
(3,5) and (9,10) find the slope that passes through the given points
Answer:
5/6
Step-by-step explanation:
slope = (difference in y)/(difference in x)
slope = (10 - 5)/(9 - 3) = 5/6
Answer: 5/6
Answer:
Hi! The answer to your question is [tex]m=5/6[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
The following are the temperatures of 10 days in winter in °C. 5, 4, 4, -1, 4, 10, 9, 8, 6, 4 Work out the mean temperature.
Answer:
Answer is 5 °C.
Step-by-step explanation:
5 is answer
Answer:
The mean temperature is 5.3 degree Celsius
Step-by-step explanation:
5+4+4-1+4+10+9+8+6+4
= 53
So,
53/10
= 5.3
mark me brainliest plss :))
The relationship between the length and weight of certain sea turtles can be approximated by the equation L = 0,55 W,
where L is the length in feet and W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?
Answer:
4.55 pounds
Step-by-step explanation:
From the above question , we are told that:
The relationship between the length and weight of certain sea turtles can be approximated by the equation
L = 0.55 W,
where
L is the length in feet
W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?
L = 2.5 feet
Hence,
2.5 = 0.55W
W = 2.5/0.55
W = 4.5454545455 pounds
Approximately, weight of the sea turtle in pounds = 4.55 pounds
Beverly wants to list the following numbers in order from greatest to least l. Place the rational number in order from greatest to least? 1/6 6% 0.012 1/12
Answer:
0.012, 1/12 , 6% , 1/6
Step-by-step explanation:
To put these numbers in order, you need to first put them in the same form. Let's turn them all into decimal form.
* To put fractions in decimal form you need to divide the numerator into the denominator.
* To put a percent into a fraction you need to understand that this percent is out of 100. ex: 6% = 6/100 , 3% = 3/100 11% = 11/100. so in order to put the new fraction into a decimal, you put it in the correct decimal place. This is wrong 6/100 = .60 this reads 6 tenths so we need to go over a decimal place.
This is correct 6/100 = .06 This is 6 tenths.
So let's go through: _
1 divided by 6 equals 0.16
6% is equal to .06
0.012 is already in decimal form 0.012 _
1 divided by 12 equals 0.083
#Always remember you have to put the numbers in the original form that they were given.
# Also the more decimal places a number has behind the decimal the less the number
Ex: 0.012 > 0.011 Even though these have the same decimal place 0.012 is greater because it's a greater number.
0.12 > 0.012
If mL DOC = 44º and mL COB = 80°,
find the measure of the indicated arc
in circle o.
D
с
O
E
B
mDB = [?]°
Answer:
124°
Step-by-step explanation:
measure of arc DC = 44 because the measure of central angle equals the measure of its arc.
measure of arc CB = 80 because the measure of central angle equals the measure of its arc.
measure of arc DC = measure of arc DC + measure of arc CB
= 44 + 80 = 124°
The Chess Club has 24 members, 14 girls and 10 boys. What is the ratio of
girls to boys in the Chess Club?
A. 3:4
O B. 7:5
O C. 5:7
Answer: I think it would be 7:5 because half of 14=7 and half of 10=5. by the way, are you good at algebra II by any chance? if so can you help me out in return for me helping you out please?
Select the equivalent expression.
(54.6-10) “ =?
Choose 1 answer:
54. 660
524.860
360
524
Answer:
©
[tex]( {5}^{4} . { {b}^{ - 10}) }^{ - 6} = ( {5}^{4. - 6} ).( {b}^{ - 10. - 6} ) \\ = {5}^{ - 24} . {b}^{ 60} \\ = \frac{ {b}^{60} }{ {5}^{24} } [/tex]
How many possible passwords can you have if you can use numbers, letters, or capital letters but you must have at least one capital letter and your password needs to be exactly 5 characters long.
Answer:
628 possible passwords.
What are the solutions of the equation 12 + 15 - 79?
jake plays baseball with two wooden bat one made from hickory and one made from white ash what is the weight of the white ash if his hikory bat weght 32.4 ounse and both bat togethere weight 64.33
Need help fast what are values of x and y
Answer:
y = 52
x = 5
Step-by-step explanation:
14 x + y = 122
y = 52
x = 5
factorise
3(m-4)+b(4-m)
Answer:
-(m-4)(b-3)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping
Answer:
(m-4) (3-b)
Step-by-step explanation:
See the steps below:)
Help pleaseeee, I am lost and need help
Answer:
I'm pretty sure it is the second one because > means it won't be filled in and it means greater than so greater than 2
A manager of a telemarketing firm is trying to increase his employees' productivity. The table shown indicates the number of months the employees have been working and the number of calls they successfully complete with customers per day.
a. Construct a scatter plot of the data.
b. Based on the shape of the scatter plot, is a linear regression appropriate? What type of correlation appears to be present?
c. W rite a function c(m) to represent the line of best fit. Then interpret the function in terms of the problem situation.
d. Compute and interpret the correlation coefficient.
e. Calculate the residuals for the data and create a residual plot of the data.
f. Based on the residual plot, is a linear model appropriate for the data? Explain your reasoning.
g. Should the manager use a linear regression equation to predict how many successful calls an employee will make if they have been employed for 36 months? Explain your reasoning.
i got it right cus im smart
Triangle A'B'C' is the image of ABC under a rotation about point P.
Determine the angle of rotation.
-75
-45
45
75
Answer:
its 45
Step-by-step explanation
It's right I did it on khan
A machine packages bags of almonds. The weights of the bags are normally distributed with a mean of 14 ounces and a standard
deviation of 1.2 ounces.
Enter the Z-score of a bag of almonds that weighs 12.2 ounces.
Answer: -1.5
Step-by-step explanation:
took the test
The z-score of a bag of almonds weighing 12.2 ounces will be negative 1.5.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
A machine packages bags of almonds.
The weights of the bags are normally distributed with a mean of 14 ounces and a standard deviation of 1.2 ounces.
Then the z-score of a bag of almonds weighing 12.2 ounces will be
z-score = (x - mean) / SD
z-score = (12.2 - 14) / 1.2
z-score = -1.8 / 1.2
z-score = -1.5
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can someone please tell me what angle x is
Answer:
it's an angle X duh he he he be
Please help me with this question
Answer:
I think B .......................................
find the length of the segment from A to B, round to the nearest tenth.
Answer:
Length AB = square root [5^2 + 3^2]
AB = square root [34]
AB = 5.8309518948
= 5.8 rounded
Step-by-step explanation: