Answer:
The answer is B.
Step-by-step explanation:
Complete the square to find
the vertex of this parabola.
x2 - 6x – y + 17 = 0
Answer:
(3, 8)
Step-by-step explanation:
x² - 6x - y + 17 = 0
x² - 6x = y - 17
x² - 6x + 9 = y - 17 + 9
(x - 3)² = y - 8
The vertex is (3, 8)
The vertex of the parabola given by the equation x² - 6x - y + 17 = 0 is (3, 8).
To complete the square and find the vertex of the parabola given by the equation x² - 6x - y + 17 = 0, we can follow these steps:
1. Rearrange the equation: Move the constant term (17) to the other side of the equation by subtracting it from both sides. This gives us x² - 6x - y = -17.
2. Group the x-terms together: Rearrange the equation so that the x-terms are next to each other. This gives us x² - 6x = y - 17.
3. Complete the square: Take half of the coefficient of x (-6) and square it. Add this value to both sides of the equation. Half of -6 is -3, and (-3)² is 9. So we add 9 to both sides: x² - 6x + 9 = y - 17 + 9.
4. Simplify the equation: On the left side, the expression x² - 6x + 9 can be factored as (x - 3)². On the right side, -17 + 9 simplifies to -8. So the equation becomes (x - 3)² = y - 8.
5. Rewrite the equation in vertex form: The vertex form of a parabola is (x - h)² = 4p(y - k), where (h, k) represents the vertex of the parabola. Comparing this with our equation, we have (x - 3)² = y - 8, which matches the vertex form.
6. Identify the vertex: By comparing the equations, we can see that the vertex of the parabola is at the point (h, k) = (3, 8).
Therefore, by completing the square, we have found that the vertex of the parabola given by the equation x² - 6x - y + 17 = 0 is (3, 8).
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Please help I’ll mark you as brainliest if correct
Answer:
I think it is option B
Step-by-step explanation:
I dont know if I am right
if I am your welcome
Answer:
16.33 inches
Step-by-step explanation:
circumference = πd = (3.14)(5.2) = 16.33 inches
The origin of a coordinate plane is (0,0)
True or False
Answer:
true
hope it is helpful to you
Answer:
The Answer is gonna be True
36’s square root is what??? This is literally due in 15 minutes!
Answer:
square root of 36 is 6
Step-by-step explanation:
because 6 x 6 =36
Answer:
the square root is of 36 is 6
1x5x89x78x0x6x8x67x87x897x7799
Answer:
just use the calculator
The answer is 0 because the equation has something being multiplied by zero, and anything multiplied by 0 is 0, and the same applies to any subsequent multiplications..
A right triangle has a height of 18 inches and a base of 12 inches. Find the area of the triangle in square inches. Enter only the number. The solution is
Answer:
A=108in^2
Step-by-step explanation:
The area of a triangle is given by:
[tex]a = \frac{b \times h}{2} [/tex]
So,
[tex]a = \frac{12 \times 18}{2} = 108 \: {in}^{2} [/tex]
SOME HELP HERE PLEASE?!!
Solve for x:
x+2 / x+5 = 2/3
A. -11
B. - 3
C. 2
D. 3
E. 4
Thanks!!
Step-by-step explanation:
Your answer is 4. Hope you like my answer.
Answer:
x+2 / x+5 = 2/3
2x + 10 = 3x + 6
•°• x =4
correct option → E
Hope it helped :)
help me please will give brainliest
Answer:
0.4
Step-by-step explanation:
1. −5tan 2 θ+3=8tanθ+6
2. 2cosθ-3=5cosθ-5
Answer
(tan x + 3)=5
Step-by-step explanation:
find the area of the triangle ! include the unit in the answer (cm) (cm2) (cm3)
Answer:476
Step-by-step explanation:
if you multiply 14 times 17 times 4 it equals 952 but if you divide it it equals 476
Answer:
the answer is 34[tex]cm^{2}[/tex]
Step-by-step explanation:
You would treat the question as 2 different problems, a small and big triangle. You use the the Pythagorean theorem to find base of the big triangle which would be 13.4(rounded) meaning that the base for the small triangle would be 3.6. From here you would use the equation to find the area of a triangle a = 1/2 bh. Find the area of each triangle separately and then add them together to get 34.
given that alpha and beta are roots of the quadratic equation ax²+bx+c=0, show that alpha+beta=-6÷a and alphabeta=c÷a
Answer:
[tex]\alpha + \beta = -\frac{b}{a}[/tex]
[tex]\alpha \beta = \frac{c}{a}[/tex]
Step-by-step explanation:
Given
[tex]ax^2 + bx + c = 0[/tex]
[tex]Roots: \alpha \& \beta[/tex]
Required
Show that:
[tex]\alpha + \beta = -\frac{b}{a}[/tex]
[tex]\alpha \beta = \frac{c}{a}[/tex]
[tex]ax^2 + bx + c = 0[/tex]
Divide through by a
[tex]\frac{a}{a}x^2 + \frac{b}{a}x + \frac{c}{a} = \frac{0}{a}[/tex]
[tex]x^2 + \frac{b}{a}x + \frac{c}{a} = 0[/tex]
The general form of a quadratic equation is:
[tex]x^2 - (Sum)x + (Product) = 0[/tex]
By comparison, we have:
[tex]-(Sum)x = \frac{b}{a}x[/tex]
[tex]-(Sum) = \frac{b}{a}[/tex]
Sum is calculated as:
[tex]Sum = \alpha + \beta[/tex]
So, we have:
[tex]-(\alpha + \beta) = \frac{b}{a}[/tex]
Divide both sides by -1
[tex]\alpha + \beta = -\frac{b}{a}[/tex]
Similarly;
[tex]Product = \frac{c}{a}[/tex]
Product is calculated as:
[tex]Product = \alpha * \beta[/tex]
So, we have:
[tex]\alpha * \beta = \frac{c}{a}[/tex]
[tex]\alpha \beta = \frac{c}{a}[/tex]
eight (8)÷ by nine (9)
Answer:
[tex]8 \div 9 \\ = 0.888....[/tex]
A survey was run by a high school student in order to determine what proportion of mortgage-holders in his town expect to own their house within 10 years. He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51. The student decides to construct a 95% confidence interval for the population proportion. a)Calculate the margin of error that the high school student will have. Give your answer as a decimal to 2 decimal places. Margin of error
Answer:
The margin of error is of 0.17.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51.
This means that [tex]n = 35, \pi = 0.51[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
a)Calculate the margin of error that the high school student will have.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.51*0.49}{35}}[/tex]
[tex]M = 0.1656[/tex]
Rounding to 2 decimal places, the margin of error is of 0.17.
HELPP!!! 65 points GIVIN
its 3 1/4 you will thank me later :)
Answer:
the third one
3 1/4
Step-by-step explanation:
The points A, B, and D are on circle C, AB=BD, and m ABD = 194°.
What is the measure of AB?
Answer:
AB = 97
Step-by-step explanation:
AB is half of mABD.
Find the area of the following parallelogram:
Answer:
216
Step-by-step explanation:
18 which is the base will be multiplied by the height which is 12 giving you
18 x 12 = 216
250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table. If a person is selected at random, what is the probability that the person is taller than 180 centimeters and has black hair?
A) 0.257
B) 0.351
C) 0.360
D) 0.116
Answer:
Option D
Step-by-step explanation:
Total number of employees in the organization = 250
Total person who have height greater than 180 centimeters and also have black hair = 29
Probability of choosing a person who is taller than 180 centimeters and has black hair is
[tex]\frac{29}{250} = 0.116[/tex]
Hence, option D is correct
Answer:
The correct answer is D
Step-by-step explanation:
D) 0.116
You have to find the probability of choosing a person at random taller than 180 cm and with black hair.
In the data provided 29 people meet that criteria. Out of 250 people in total you just divide.
29/250=0.116
PLS TELL ME WHAT IT IS
Answer: J
Step-by-step explanation: Find out what 85% of 320 is.
Joanna needs a book to prop up a table leg. There are 8 Math books, 4 science books, and 5 history books. She
randomly selects a book, removing it from the shelf, and then selects another book. What is the probability that
Joanna selected two math books?
Answer:22% or 64/289
Step-by-step explanation: you take 8/17 which is math books over the total of books and multiply it together. simplify into a percent (if thats allowed)
8/17 x 8/17 = 64/289
\frac{5}{2}\mathrm{g}-\frac{1}{2}\mathrm{g}= 2 5 g− 2 1 g simlily
Answer:
ok
Step-by-step explanation:
Can someone please help me I will mark u brilliant
Answer:
8
Step-by-step explanation:
NO LINKS OR ELSE YOU'LL BE REPORTED! Please give me the correct answer.Only answer if you're very good at math.
Answer:
positive
Step-by-step explanation:
hope this helps :)
Answer:
positive
Step-by-step explanation:
because your adding +2 when ur at 0
Which of the following sentences describes an equilateral triangle?
A:
Two sides are the same length.
B:
Each angle is less than 90 degrees.
C:
One of the angles equals 90 degrees.
D:
The lengths of all three sides are the same.
Consider the figures shown to answer Part A and Parts B.
Which figures have a volume greater than 600 cubic inches?
Select all that apply.
A. Cylinder #1
B. Cone #1
C. Cylinder #2
D. Cone #2
E. Sphere
volume of sphere is 4.8 times the volume of cone (1).
A). Options (C) and (E) is correct.
B). 4.8 times
To choose the figure.
What is mensuration?The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.
Given that:
Part A
Volume of cylinder (1) = πr²h
= π*(6)²*(5)
= 565.5 cubic inches
Volume of cone (1)=π*r²*h/3
=π*6²*5/3
= 188.5 cubic inches
Volume of sphere =4π*r²*r/3
=4π*6²*6/3
= 904.8 cubic inches
Figure having volume greater than 600 cubic inches are cylinder (2) and sphere.
Part (B)
Volume of sphere/Volume of cone (1)=904.8/188.5 =4.8
Therefore, volume of sphere is 4.8 times the volume of cone (1).
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i need help! i provided the problem in the picture
Step-by-step explanation:
[tex] \frac{30}{wz} = \frac{40}{32 + 40 } \\ wz = 54[/tex]
[tex] \frac{40}{40 + 32} = \frac{28}{xz} \\ xz = 50.4[/tex]
So the Perimeter is
[tex]54 + 50.4 + (40 + 32) = 176.4[/tex]
Which of the following is the solution to 8 - 3x =41
A) X=11
B) x=16
C) X=-5
x=-11
Answer:
x = -11
Step-by-step explanation:
Because 3 x -11 = -33 and
8 -(-33 = 41
Answer:
x=-11
Step-by-step explanation:
8_3x=41
_3x=41-8
_3x=33
Scroll on _3x For both parties
x=11
Johnson Electronics makes calculators. Consumer satisfaction is one of the top
priorities of the company’s management. The company guarantees the refund of
money or a replacement for any calculator that malfunctions within two years from
the date of purchase. It is known from past data that despite all efforts, 12% of the
calculators manufactured by this company malfunction within a 2-year period. The
company recently mailed 550 such calculators to its customers.
a. Find the probability that exactly 32 of the 550 calculators will be returned for
refund or replacement within a 2-year period.
b. What is the probability that 30 or more of the 550 calculators will be returned for
refund or replacement within a 2-year period?
a. What is the probability that 15 to 35 of the 550 calculators will be returned for
refund or replacement within a 2-year period?
Answer:
later ill answer this .. read and understand
By midweek, Wendy had spent $46.65. At the end of the week, she had spent $23.35 more. How much did Wendy spend that week?
70 dollars because addition
T what do you guys think of this (I know this is for help with math but I have no socail media.)
Answer:
This is very cute.
Step-by-step explanation:
Answer:
Cute
Step-by-step explanation:
Ella ate half of her gummy bears before adding thirteen more to the bowl. If she now has 25 gummy bears, how many did she start with?
Answer:
24 gummy bears
Step-by-step explanation:
25-13= 12
12 x 2 = 24