What is the coordinate of the focus
for the following parabola:
(x - 1)^2 = 12(y + 2)
Answers
Answer:
D
Step-by-step explanation:
The required focus of the parabola (x - 1)^2 = 12(y + 2) is (1, 1). Option D is correct.
Given that, equation of the parabola,
[tex](x - 1)^2 = 12(y + 2)[/tex]What is a parabola?
A parabola is cross-section cut out of the cone and represented by an equation [tex]y = 4ax^2[/tex]. Where a is focus.
Here,
[tex](x - 1)^2 = 12(y + 2)[/tex]
Simplify the above parabola equation to stand equation
[tex]y = \frac{1}{4(f-k)} (x-h)^2 + k[/tex]
[tex]y =\frac{1}{4(1-(-2))} (x - 1)^2 - 2[/tex]
Now comparing above the equation,
vertex of a parabola,
h = 1 and k = -2
And focus
So the coordinate of the focus of the parabola = (h, f)
= (1, 1)
Thus, the required focus of the parabola (x - 1)^2 = 12(y + 2) is (1, 1). Option D is correct.
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Related Questions
[tex]4(3-5x)=15-(8x-25)[/tex]
Answers
Exact form: x= -7/3 _
Decimal form: x= -2.3
Mixed number form: -2 1/3
The graph represents the length and
I height of a wheelchair ramp. Find the
slope of the ramp.
Answers
Answer: 1/4
Step-by-step explanation: Take point (1,1) put the rise (2) over the run (8) and then simplify.
At Marco’s Pizza House it costs $4.00 to make a small pizza. If they intend to mark-up the pizza by 80% what will the cost be for customers?
Answers
Answer:
$7.20
Step-by-step explanation:
4 times 0.8 is 3.20
Add them together to get the new cost
Answer:
$7.20
Step-by-step explanation:
The seagull population on a small island in the Atlantic Ocean can be calculated using the formula
P(t) = 5.3/11/?, where P is the population in hundred thousands, and t is in years. What will the seagull
population on the island be after 5 years? (Round to the nearest tenth.)
a. about 41.6 hundred thousand
c. about 172.4 hundred thousand
about 3.7 x 10' hundred thousand d. about 66.5 hundred thousand
Answers
The correct relation for the sea gull population is: P(t) = 5.3t^(11/7)
Answer:
d. about 66.5 hundred thousand
Step-by-step explanation:
Given that :
P(t) = 5.3t^(11/7)
Population, P is in hujdred thousand ; t = number of years
Population after 5 years ;
t = 5
P(5) = 5.3 * 5^(11/7)
P(5) = 5.3 * 5^1.5714285
P(5) = 5.3 * 12.542422
P(5) = 66.474840
P(5) = 66.5 (approximately)
Hence, population after 5 years will be about 66.5 hundred thousand.
Which exponential expression is equivalent to the one below? (6x3)^5
25 POINTS!!!!!!
Answers
Answer:
D) 6^5 · 3^5
Step-by-step explanation:
(6 · 3)^5 = 1889568
A) WRONG
(5 · (6 · 3)) = 90
B) WRONG
9^5 = 59049
C) WRONG
6 · 3^5 = 1458
D) CORRECT
6^5 · 3^5 = 1889568
URGENT!!!! BRAINLIEST FOR CORRECT ANSWER!
At the Little Rock Zoo, the cost for one children's ticket is $10 and the cost for one adult's ticket is $13. On Saturday, the zoo had a total of 1,465 people visit the zoo and took in a total of $16,603. How many CHILDREN visited the zoo? (Number Only)
Answers
Answer:
1663
Step-by-step explanation:
Find the surface area of the cone. Use 3.14 for π.
Answers
Answer:
S.A. = 138.16
Step-by-step explanation:
S.A. = πrl+πr²
3.14 x 4 = 12.56
12.56 x 7 =87.92
3.14 x 4 = 12.56
12.56 x 4 = 50.24
87.92 + 50.24 = 138.16
Let me know if this helps!
Find the volume of a cylinder with a diameter of 14mm and a height of 3.4mm Round to the nearest tenth.
Answers
Answer:
V≈5.23×10-7m³
Step-by-step explanation:
V=π(d
2)2h=π·(0.014
2)2·3.4×10-3≈5.23389×10-7m³
Answer: 523.1 mm^2
You first want to find the radius for the volume of cylinder formula. You first do 14 divided by 2 to get the radius. You should get 7. Then after you find the radius you then put it into the formula which is v=3.14 x radius^2 x height. The equation with all the numbers from the problem is 3.14 x 7^2 x 3.4. After you put the equation into your calculator you should get 523.1 mm^2.
Smart people of Brainly who know math
Plot function G on the graph
(Picture provided)
Answers
Answer:
Down below
Step-by-step explanation:
The graph is attached to the answer.
What is function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Given is a function,
g(x) = -3, -8≤x-2
1, -2≤x≤4
5, 4≤x≤10
The function g(x) is a discrete function. It is continuous between -8 to -2, -2 to 4, and 4 to 10.
And the open circle at -8, -2, 4, and 10.
More about the function; click,
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The two legs of a right triangle measure 7 inches and 5 inches. Find the measure of the acute angle that is included between the longer leg and the hypotenuse. WILL GIVE BRAINIEST TO FIRST RIGHT ANSWER
Answers
Answer:
44.4 degrees
Step-by-step explanation:
Given the following
Hypotenuse = 7
Longer leg = 5 (adjacent])
Let the acute angle angle between both sides be x
According to SOH CAH TOA
Cos theta = adj/hyp
Cos x = 5/7
x= arccos (5/7)
x = arccos (0.7143)
x = 44.4degrees
Hence he measure of the acute angle that is included between the longer leg and the hypotenuse is 44.4 degrees
write an expression for the number of days in y hours.
Answers
Answer:
The number of days in y hours is y/24
Step-by-step explanation:
Here, we want to write an expression
Mathematically;
1 day = 24 hours
? days = y hours
? days = (y * 1)/24
? days = y/24
Please help me. I will marks as Brainly if correct
Answers
What is the Mode? 21,28.27.26.27.27.33.28.26.31
Answers
Answer:
The mode is 27.
Step-by-step explanation:
To find the mode we must first put them in order from least to greatest.
21, 26, 26, 27, 27, 27, 28, 28, 31, 33
The mode means the most common number out of the data. Therefore since 27 is the most common number, it is the mode.
Hey there!
The mode is basically the number you see MORE THAN ONCE.
So, the numbers in your data plot is/are
“21, 28, 27, 26, 27, 27, 33, 28, 26, 31”
(I’m assuming)
21 is shown ONE TIME
28 is shown TWO TIMES
27 is shown THREE TIMES
26 is shown TWO TIMES
33 is shown ONE TIME
31 is shown ONE TIME
THE BIGGEST ONE THAT’S SHOWN IS: 27 because it was shown in your data plot three times
Answer: 27
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
what is 5^2 simplified
Answers
Answer:
25
Step-by-step explanation:
Find the solution of this system of equations.
Separate the x- and y-values with a comma.
x = -10 + y
-16x – 2y = -2
Answers
Which number is located between 19 and 20 on a number line?
A. √(298)
B. √(340)
C.√ (391)
D. √(402)
Answers
Answer: C
Step-by-step explanation: 19² =361 and 20² = 400
Find the slope of the line through the points (4,5) and (-7,6)
Answers
Answer:
m = -1/11
Step-by-step explanation:
m = rise/run = (y2-y1)/(x2-x1)
I just wanna make sure i’m doing this right
Answers
Answer:
175%
Step-by-step explanation:
The first one is a whole=1
the second one is cut in four but only 3 are shaded so 1/4=0.25 0.25*3=0.75
3/4/0.75 is shaded
so 1+0.75=1.75
1.75=175%
What are the values of x and y if you answer is not a whole number write it as a decimal and round if neccasasry
Answers
a) 3x + 5y = 26
b) 2x + 2y = 12
First, we need to find a way to equate either the x terms or the y terms in each equation. a) 6x + 10y = 52
b) 6x + 6y = 36
Then take equation b) from the equation a) to eliminate the x component.
a) 6x + 10y = 52
- b) 6x + 6y = 36
0x + 4y = 16
y = 4 ?
Then substitute the value of y into either equation to find the value of x.
b) 2x + 2y = 12
2x + (2x4) =12
2x + 8 = 12
2x = 4
x = 2
I hope this new information i read helps you maybe understand it and as an example!
At sunrise the temperature was -12 C. By sunset the temperature had increased 5 degrees. What is the temperature at sunset? *At sunset the temperature was 19 C. By sunrise the temperature had decreased 4 degrees. What is the temperature at sunrise?
Answers
Answer:
-17°C at sunset
15°C at sunrise
This is for today someone can help me pls!!!
Answers
Answer:
sdf
Step-by-step explanation:
sdfgh
Find the scale factor that was used
Answers
30/15 = 2
20/10 = 2
15/10=1.5
30/20=1.5
Jack is learning to save, spend, and give his money away. He has determined to give away 10% of his summer earnings. If he gives away 256 dollars, then how much did he each this summer?
Answers
Answer:
$2,560
Step-by-step explanation:
Just multiply 256 by 10, and you get his money earned.
There are 25 questions in a quiz.
Every correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0 points.
It is possible to finish the quiz with a negative score.
a) What is the maximum score you could get on the quiz?
b) What is the minimum score you could get on the quiz?
c) A student answers 15 questions.
10 are correct. How many points does he score?
d) Another student answers 21 questions.
6 are correct. How many points does she score?
Answers
Answers of the quiz are as follows
A. 75
B. -50
C. 20
D. -12
We have been given that -
Number of questions= 25
Correct answers= x and score= 3
Incorrect answers= y and score= -2
Not answered= z and score= 0
We can calculate the score as:
A) What is the maximum score you could get on the quiz?
Maximum score one can get on the quiz if he / she correct all i.e. -
25 × 3 = 75.
B) What is the minimum score you could get on the quiz?
Minimum score one can get on the quiz if he / she correct all i.e. -
25 ×-2 = -50.
C) A student answers 15 questions.10 are correct. How many points does he score?
Scored points = (10 × 3) + (5 × -2)
= 30 -10
=20 points
D) Another student answers 21 questions. 6 are correct. How many points does she score?
= 6 × 3 + (15 × -2)
= 18-30
= - 12 points
Hence, the answer are a- 75 , b- -50 , c - 20, d- -12.
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Find the volume of the figure. A) 288 cm^3 B) 480 cm^3 C) 544 cm^3 D) 640 cm^3
Answers
Answer:
Step-by-step explanation:
7680 i think
Volume of figure1=(4x4)x 10
=160
Volume of figure2= (8x4) x 4
=128
Total volume= 160+ 128=288
if (1x2y6z) is a number divisible by 9 , then what os the least value of x+ y+z ?
Answers
Given:
Number 1X2Y6Z is divisible by 9.
To find:
The least value of X+Y+Z = ?
Solution:
First of all, let us learn the divisibility rule of 9.
A given number will be divisible by 9 if and only if the sum of digits of the given number is also divisible by 9.
For example:
Let us consider a number 923463.
The sum of digits = 9 + 2 + 3 + 4 + 6 + 3 = 27
27 is divisible by 9 so the number 923463 will also be divisible by 9.
Let us consider another example 8972.
Sum of digits = 26
26 is not divisible by 9 so the number 8972 will also be not divisible by 9.
Now, we are given the number 1X2Y6Z.
Sum of digits = 1 + X + 2 + Y + 6 + Z = 9 + X+Y+Z
The number 1X2Y6Z will be divisible by if 9+X+Y+Z is divisible by 9.
The least value of X+Y+Z can be zero, so the sum of digits = 9 + 0 = 9
which will make the number 1X2Y6Z divisible by 9.
So, the answer is:
Least value of X+Y+Z = 0 so that the number 1X2Y6Z is divisible by 9.
9514 1404 393
Answer:
0
Step-by-step explanation:
For a number to be divisible by 9, the sum of the digits must be divisible by 9. The given digits total 9, so x+y+z must be a multiple of 9. The least possible multiple of 9 is 0.
The least value of x+y+z is 0.
_____
102060/9 = 11340
Sarah used 3.25 meters of fabric to make a costume. How many centimeters of fabric did she use?
Answers
Answer:
325 centimeters
Step-by-step explanation:
Plzz help will mark brainiest Don't do it for the points
Answers
Answer:
I think the answer is B
Step-by-step explanation:
What's the distance between (5, 13) and (9, 1)
Answers
Answer: 16
Step-by-step 8+8
Q1 - What is the area of a circle with a diameter of 6.2 inches?
Q2 - A round table has a radius of 15in a round tablecloth hangs 2in over the edge of the entire table.what is the area of the tablecloth
Answers
Answer:
Q1; 124.72
Sorry I don’t understand the second one
Step-by-step explanation: