what eqwation of a parabola with a focus(6,-2) and a directrix x=-2
Answer:
The equation of the parabola
( y +2 )² = 16 (x-2)
Step-by-step explanation:
Step(i):-
Given the focus of the Parabola ( 6, -2 )
we know that the Focus of the Parabola
( h + a , k ) = ( 6 , -2 )
Comparing
h + a = 6 ...(i)
and k = -2
Given directrix of the parabola
x = -2
The directrix of the parabola x = h - a = -2
h - a = -2 ...(ii)
Adding (i) and (ii) equations , we get
h + a + h-a = 6 -2
2 h = 4
⇒ h = 2
Substitute 'h' = 2 in equation (i) , we get
h + a = 6
2 + a = 6
a = 6 -2 =4
Step(ii):-
The equation of the parabola having Vertex ( h,k) = (2 , -2) and a = 4
[tex](y-k)^{2} = 4a ( x-h)[/tex]
( y - (-2))² = 4 (4) ( x -2)
Final answer:-
The equation of the parabola
[tex](y-(-2))^{2} = 4(4) ( x-2)[/tex]
( y +2 )² = 16 (x-2)
need help on this, im in geometry
Answer:
B
I believe the reason for this is the vertical line test; Different Y values must not come from the same X.
B is the only one this applies to
f (x) = -x2 + 164x - 64, f(x) = -4x2 - 10x + 84, f(x) = 3x² + 24.
Answer:
You need to ask a question for someone to answer it.
Are you looking for their derivatives?
-x² + 164x - 64 => -2x + 164
-4x² - 10x + 84 => -4x - 10
3x² + 24 => 6x
Indefinite Integrals?
-x² + 164x - 64 => -x³/3 + 82x² - 64x + C
-4x² - 10x + 84 => -4x³/3 - 5x² + 84x + C
3x² + 24 => x³ + 24x + C
Want them factored?
-x² + 164x - 64 => has no factors
-4x² - 10x + 84 => 2(2x - 7)(x + 6)
3x² + 24 => 3(x² + 8)
We can't ensure a proper answer if you don't ask the question.
b) (8x3 + 27) = (2x + 3)
Answer:
x=-3/2
Step-by-step explanation:
this is under the assumption that 8x3 is an exponent
Answer:
x=3/2
Step-by-step explanation:
Y= 4x + 2 put this on a graph please
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The equation kx² + px + 5 = 0 has repeated real roots. Find k in terms of p
Answer:
k= -50/p
Step-by-step explanation:
Answer is worked out in the photo above.
In parallelogram EFGH if GJ=15 find JE.
F
E
H
Answer:
15
Step-by-step explanation:
So point j is the midpoint of both of the diagonals in the parallelogram.
That means that JE=GJ
So the answer is 15
I dont understand this... they do not teach well in my school tbh.
HELP PLS PLS ILL MARK U BRAINLIEST
Answer:
360-(<XYZ + <WYZ)
Step-by-step explanation:
Angles around a point add up to 360°
hope it helps! please mark me brainliest
thank you! have a good day ahead
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The slope of the line that passes through the point (2,4) and (3, 8) is
PLEASE HELP FAST
Solve for X
Answer:
x = 26
Step-by-step explanation:
[tex]\frac{12}{x-2} = \frac{13}{x}[/tex]
Cross-multiply => 12x = 13x - 26
Isolate x => -x = -26
Divide by -1 => x = 26
The octal numeral system is a base 8 positional system that uses the symbols 0,1,2,3,4,5,6,7. Write each base 8 number as a base 10 number. 12 and 117
Step-by-step explanation:
(12) in base 8
= (1 * 8¹ + 2 * 8⁰) in base 10
= (8 + 2) in base 10
= 10 in base 10.
(117) in base 8
= (1 * 8² + 1 * 8¹ + 7 * 8⁰) in base 10
= (64 + 8 + 7) in base 10
= 79 in base 10.
Using octal numeral system, 12₈ number as 10₁₀ and (117)₈ number as (79)₁₀.
What is octal numeral system?Octal numeral system has "a base of 8 and uses the number from 0 to 7".
According to the question,
a) (12)₈
= (1 * 8¹ + 2 * 8⁰)₁₀
= (8 + 2)₁₀
= 10₁₀.
b) (117)₈
= (1 * 8² + 1 * 8¹ + 7 * 8⁰)₁₀
= (64 + 8 + 7)₁₀
= (79)₁₀
Hence, using octal numeral system, 12₈ number as 10₁₀ and (117)₈ number as (79)₁₀.
Learn more about octal numeral system here
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HELP!!!!!!!!!!!! ITS FOR A FRIEND
The population in Smalltown in 2010 was 30,500 people and is growing exponentially at a rate of 3 percent. Write an equation that defines the population t years after 2010?
Rewrite the following expression in simplest radical form: (4x^2/3)^3 - (81x^5)^1/4
Answer:
64x^2/3x^5/4
Step-by-step explanation:
(4x^2/3)^3 / (81x^5)^1/4
4^3*x^2/3*3 / 3^4*1/4*x^5/4
64*x^2 / 3*x^5/4
Find the value of x.
please help me . i will help you whenever you want
Answer:
6.7cm
Step-by-step explanation:
We apply Pythagoras Theorem twice.
First we find out the diagonal of the base of the cuboid.
The diagonal of the base = sqrt (2^2+4^2) = sqrt (20).
Then we find out AB by applying Pythagoras Theorem.
AB^2 = 5^2 + [sqrt (20)]^2
AB^2 = 45
AB = 6.7cm (correct to 1 decimal place)
20/x=80/44 (Please help)
Answer:
if you're looking for the value of x, I'm guessing it's 11
Some number was divided into 42. This quotient was then multiplied by 8,after which the resulting product was added to 10. Given this sum totalled to 34,find the initial number.
Answer:
126
Step-by-step explanation:
In order to find the initial number, we need to create the expression that is being mentioned and solve for the initial value by applying the opposite expressions to isolate the variable.
(((x / 42) * 8) + 10) = 34 ... subtract 10 from both sides
((x / 42) * 8) = 24 ... divide both sides by 8
(x / 42) = 3 ... multiply both sides by 42
x = 126
Finally, we can see that the initial value was 126
if I buy 54 packs of cookies and 15 cookies are in each pack how many cookies do I have all together?!!?!?!
Answer:
810
Step-by-step explanation:
54x15=810.
hope this helps
Step-by-step explanation:
54 x 15 = 810
all you have to multiply
(x5 + 5x4 – x3 – 22x2 + x + 6) =
(x2 + 3x - 2)
Answer:
x = 4/13
Step-by-step explanation:
I hope this helps!
criangle has sides 45, 4x and 2x – 4. What is the possible range of x?
Answer:
[tex]\frac{49}{6} <x<\frac{41}{2}[/tex]
Step-by-step explanation:
The possible ranges of x are listed above. Hope this helps! :)
Joseph runs 2/12 miles on Monday. Each day after that, he runs the same 1/13 mile route every morning. His goal is to run at least 6 miles by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?
What is the least number of days after Monday that Joseph needs to run to reach his goal?
Answer:
Step-by-step explanation:
At the end of practice, Joseph will need to run another 1.75 miles or 1 3/4 miles.
To determine this we need to subtract the amounts he already has run during practice from the goal of 3 miles.
3 miles - 1/2 miles - 1/4 miles - 1/4 miles - 1/4 miles = 1.75 miles
Call the actor spam her she blocked me 3053035819 call her name lauren.
Answer:
so, its 2.34 to the square root of 163
Step-by-step explanation:
you need to find the angle congruent to side 'actor'
times that by your credit card and divide by lauren
hope i get brainliest!!
I need some help with this, please. Two tons of sand are put into 100-pound bags. Each bag sells for $15.00. How much is all the sand worth?
Total sand
2ton2(2205lbs)4410lbsTotal bags
4410/10044bags(Approx)Total worth
44(15)440+220$660.0012 ÷ 4 x ___ = 12
im so confused on this question can you guys help
Answer:
Step-by-step explanation:
12/4 = 3
3 x 4 = 12
4 is the answer
6338 divided by 43 with remainder
Answer:
147.395348837
Step-by-step explanation:
6338 divided by 43 gives a quotient of 147 with a remainder of 17.
When dividing 6338 by 43 with remainder, we can perform long division to find the quotient and remainder.
Start by dividing the first digit of the dividend (6) by the divisor (43). The quotient is 0 since 6 is less than 43.
Bring down the next digit of the dividend, which is 3, to the right of the 0. We now have 63.
Divide 63 by 43. The quotient is 1, as 43 goes into 63 once.
Multiply the divisor (43) by the quotient (1) and subtract the result from 63:
63 - (43 x 1) = 63 - 43 = 20
Bring down the next digit of the dividend, which is 3, to the right of the 20. We now have 203.
Divide 203 by 43. The quotient is 4, as 43 goes into 203 four times.
The final remainder is 17.
Therefore, 6338 divided by 43 gives a quotient of 147 with a remainder of 17.
To learn more about the division;
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HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!!
Answer:
a. $73.75b. 57 ridesStep-by-step explanation:
a.
Initial value of the pass is $100
From the difference in values we can see the cost of one ride is $1.75
The formula:
P(r) = 100 - 1.75r, P- the value of the pass, r- the number of ridesValue of the pass after 15 rides:
P(15) = 100 - 1.75*15 = 73.75b.
Number of possible rides:
0 = 100 - 1.75r1.75r = 100r = 100/1.75r = 57 (rounded to the whole number)is the answer 40? I am kind of confused
Answer:
Yes
Step-by-step explanation:
29-18=11
c=11
18+2(11)=40
Answer:
30
Step-by-step explanation:
If A+B is 18, A and B should equal 9.
A+B+C=29, that should mean C=6.
A+B+2C=9+9+2(6)
9+9+2(6)=30
need help asap if you can help that would be awsome
Answer:
12
Step-by-step explanation:
the diagram is shown to have 3 equal angles (equilateral triangle) therefore all sides are the same length.
X = 12
For each gym memberships sold, the gym keeps $42 and the employee who sold it gets eight dollars. What is the commission of the employee earned as a percentage of the total cost of the gym membership?
Answer:
i think 7
Step-by-step explanation:
Answer
is there it a multiple choice or just a word problem
Step-by-step explanation: