Write the equation for a parabola with a focus at (−4,8)(-4,8)(−4,8)left parenthesis, minus, 4, comma, 8, right parenthesis and a directrix at x=−6x=-6x=−6x, equals, minus, 6.
Answers
Given:
The focus of the parabola is at (-4,8).
The directrix is at x=-6.
To find:
The equation of the parabola.
Solution:
The directrix is at x=-6, which is a vertical line. So, the parabola is horizontal.
The equation of a horizontal parabola is
[tex](y-k)^2=4p(x-h)[/tex]
Where, (h,k) is vertex, (h+p,k) is focus and x=h-p.
The focus of the parabola is at (-4,8).
[tex](h+p,k)=(-4,8)[/tex]
[tex]h+p=-4[/tex] ...(i)
[tex]k=8[/tex]
The directrix is at x=-6.
[tex]h-p=-6[/tex] ...(ii)
Adding (i) and (ii), we get
[tex]2h=-10[/tex]
[tex]h=-5[/tex]
Putting h=-5 in (i), we get
[tex]-5+p=-4[/tex]
[tex]p=-4+5[/tex]
[tex]p=1[/tex]
Putting h=-5, k=8 and p=1 in the standard form of the parabola.
[tex](y-8)^2=4(1)(x-(-5))[/tex]
[tex](y-8)^2=4(x+5)[/tex]
Therefore, the required equation of the parabola is [tex](y-8)^2=4(x+5)[/tex].
Answer:
x=[tex]\frac{(y-8)^{2}-20 }4}[/tex]
Step-by-step explanation:
Khan Academy:
Related Questions
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A 13 feet ladder is placed 5 feet away from a wall. The distance from the ground straight up to the top of the wall is 13 feet Will the ladder the top of the wall?
Answers
Answer:
the answer is
a^2 + b^2 = c^2
5^2 + b^2 = 13^1
25 + b^2 = 169
b^2 = 144
b = 12
or
The ladder is the hypotenuse, and the two legs are distance from the wall and height of the wall. If it is moved 5 feet away, it will reach 12 feet high, for 5^2+12^2=13^2.
Step-by-step explanation:
Answer:
the answer is no
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Answers
Answer:
soh cah toa
to find a use sin =opp/hyp
sin 32=opp or a /hyp
sin 32*hyp=9.53
then to find b you can pythagorean theorem or just use cah or cos =adj/hyp
same process as above only using cos instead of sin
you get 15.3
then a^2+b^2=c^2
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Step-by-step explanation:
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Step-by-step explanation:
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[tex] \frac{w}{2} + 4 > 5[/tex]
can someone solve this?
Answers
Answer:
w > 2
Step-by-step explanation:
Answer:
w>2 I hope it helps you!
Find the percent change 50 is decreased to 14.
Answers
Answer:
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Tell whether the conditional and its converse form a biconditional:
Any fraction is in the simplest form if the only common factor of the numerator and denominator is 1 or -1.
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How do you solve this equation: 80x =
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Divide by 11100 on both sides
Multiply by 80 on both sides
Multiply by 11100 on both sides
Divide by 80 on both sides
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Answer:
Divide by 80 on both sides
An 18 tip is left on an $84 dinner bill. Write 2 different expressions that can be used to determine the total paid for dinner
Answers
Answer:
4.66666667
Step-by-step explanation:
Ken will flip a fair coin and then randomly choose one of three colored cards. The possible outcomes are shown below. What is the probability that tails will turn up and that he will choose a red card?
Answers
Answer:
20% Chance he will choose a red card.
Answer: 50% chance that he will flip a tails and
33.3% chance of picking red
Step-by-step explanation:
i will give brainliest
2 (x + 3 )= -x
Answers
Answer:
-2 =x
Step-by-step explanation:
2 (x + 3 )= -x
Distribute the 2
2x+6 = -x
Subtract 2x from each side
2x+6-2x = -x-2x
6 = -3x
Divide each side by -3
6/-3 = -3x/-3
-2 =x
Answer:
x = -2
Step-by-step explanation:
2 (x + 3) = -x
2x + 6 = -x
- 6 -6
2x = -x - 6
+x + x
3x = -6
--- ----
3 3
x = -2
If b = 5, what is the value of the following expression? 7 + 5b / 4 -1
Answers
Answer:
either 32/3 or if that was supposed to be 4(-1) then the answer would be -8
Step-by-step explanation:
Two sides of a triangle measure 20 cm and 30 cm. Which of the following could be measure of the third side.
A-3cm
B-6cm
C-11cm
Answers
Answer:
11 cm
Step-by-step explanation:
the other two choices are too short
If 30 is the hypotenuse, the other two sides must exceed 30.
Answer:
C-11cm
Step-by-step explanation:
The sum of two sides of a triangle must always be bigger than the third!
3+20 is less than 30
6+20 is less than 30
11+20 is greater than 30!
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If 30 people claim they get an average of seven hours sleep how many people claim they get six or less hours sleep each night
Answers
Answer:
If i did my math correctly, It should be 3 ppl
Step-by-step explanation:
A chocolate pastry cost Rs.26 and a fruit pastry cost Rs.18 Jenny buys both
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Answers
Let's assume the no. of chocolate pastry bought = x
and the no: of fruit pastry bought = y
➣ Cost of 1 chocolate pastry = Rs 26
➣ Cost of x chocolate pastry = Rs 26x
➣ Similarly, cost of fruit pastry = Rs 18 y
➣ It is given that the total cost = Rs 500
Therefore, Rs 26x + Rs 18 y = Rs 500
If we assume x = 4 and y = 22 , then
26 x 4 + 18 X 22 = Rs 500
104 + 396 = 500
⇝ No. of chocolate pastries bought = 4 ✔
⇝ No. of fruit pastries bought = 22 ✔
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Petra takes $15 to the roller skating rink to spend on skates and food. Suppose it costs $4.75 to rent roller skates. Define a variable and write an inequality to represent the amount of money Petra can spend on food. Then solve the inequality and interpret the solution. Explain your reasoning.
Answers
The amount of money Petra can spend on food must be less than $10.25.
InequalityInequality is an expression used to how the non equal comparison of two or more numbers and variables.
Let x represent the amount of money Petra can spend on food. From the question
x + 4.75 ≤ 15
x ≤ 10.25
The amount of money Petra can spend on food must be less than $10.25.
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What is the sum of the interior
angles of a polygon that has 19
sides?
[?] degrees
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Answers
Answer:
[tex]\boxed {\boxed {\sf 3060 \textdegree}}[/tex]
Step-by-step explanation:
The sum of a polygon's interior angles is found using this formula:
[tex]180 \textdegree (n-2)[/tex]
where n is the number of sides. This polygon has 19 sides.
[tex]n=19[/tex]
[tex]180 \textdegree*(19-2)[/tex]
[tex]180 \textdegree*(17)[/tex]
[tex]3060 \textdegree[/tex]
The sum of the interior angles is 3,060 degrees.
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Answers
Answer: Rate of change is 35 miles per hour
Step-by-step explanation:
Miles at 10 hours: 350
Answer:
slope 70 i belive
10 hours 350
Step-by-step explanation:
Use the table to find the relationship between the two quantities. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20.
Answers
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
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Answers
Answer:
The fucntion of number one exchange
Step-by-step explanation:
I took the iready and got 100%
Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = -10x2 + 490
lesser =
greater x =
Answers
Answer:
Lesser = -490
Greater x = 100x
Step-by-step explanation:
The zeros is basically the opposite numbers to make the equation equal to 0.
We have -10x^2(I believe it's a power)
and we have + 490
so,
-10x^2 = -100x
So the opposites to make those is:
+ 100x because, -100x + 100x = 0
and -490 because, 490 - 490 = 0.
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Answers
Answer:
AB=24.5
Step-by-step explanation:
5x+7=7x
7=2x
x=3.5
7(3.5)=24.5
Is 8/10 equal to 21/25
Answers
Answer:
21/25 is greater than 8/10. so no they arent equal to each other
Answer:
No 8/10 is 0.8
21/25 is 0.84
there Is difference of 0.04
Find the mZNPI
Exterior angles of triangle
Answers
Given:
The figure of a triangle.
To find:
The exterior angle of the triangle m∠NPI.
Solution:
According to the exterior angle theorem, value of exterior angle of a triangle is equal to the sum of the opposite interior angles.
Using the exterior angle theorem, we get
[tex]m\angle NPI=65^\circ+78^\circ[/tex]
[tex]m\angle NPI=143^\circ[/tex]
Therefore, the measure of angle NPI is 143 degrees.
Mr. Wells tells his class of 30 that when they have
completed the assignment, they may play online math
games. At the end of class, 27 students are playing
online math games. Approximately what percentage of
the students did not finish their assignment?
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Answers
Answer:
10%
Step-by-step explanation:
Answer:
10% of the pupils have not finished their assignment.
Step-by-step explanation:
3/30 kids have not finished their assignment.
3/30 = 1/10 = 10/100 = 10%
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From V
will mark brainliest !!!!!!!! What is the perimeter of the composite figure?
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107.5 cm
85 cm
97 cm
Answers
Answer:
107.5cm
Step-by-step explanation:
I just took the test
Answer:
107.5
Step-by-step explanation:
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Answers
Answer: x - 4
The missing dimension of the prism is A
because the volume of the rectangular prism equals the product of the sides, we have:
V = (x - 1)(x - 3)A
but V = x³ - 8x² + 19x - 12
=> x³ - 8x² + 19x - 12 = (x - 1 )(x - 3)A
⇔ x²(x - 1) - 7x(x - 1) + 12(x - 1) = (x - 1)(x - 3)A
⇔ (x² - 7x + 12)(x - 1) = (x - 1)(x - 3)A
⇔ (x² - 3x - 4x + 12)(x - 1) = (x - 1)(x - 3)A
⇔ (x - 3)(x - 4)(x - 1) = (x - 1)(x - 3)A
⇒ A = x - 4
Step-by-step explanation:
of the following set of data?
What is the mean absolute deviation
2 8 16
8 10 12
8
16
Pls I need help
Answers
Answer:
7.5
Step-by-step explanation:
mean= sum all/number of all
(2+8+6+8+6+8+10+12)/8=
60/8=7.5
50 POINTS AND BRAINLIEST ASAP
Answers
Answer:
Complementary Angles: The angle with 32˚ and 48˚
Supplementary Angles: The angle that is together with the angles of 107˚ and 73˚
Neither: The angle with 101˚ and 77˚ since
Step-by-step explanation:
Complementary angles are angles that sum up to 90˚ so 32 plus 48 is 90 which makes it a complementary angle.
Supplementary angles are angles that sum up to 180˚ so 107+73 is 180 which makes it a supplementary angle.
To find the angle with "neither" Complementary nor Supplementary you use the process of elimination
Hope this helps!
Answer:
Complementary Angles: The angle with 32˚ and 48˚
Supplementary Angles: The angle that is together with the angles of 107˚ and 73˚
Neither: The angle with 101˚ and 77˚ since
Step-by-step explanation:
Complementary angles are angles that sum up to 90˚ so 32 plus 48 is 90 which makes it a complementary angle.
Supplementary angles are angles that sum up to 180˚ so 107+73 is 180 which makes it a supplementary angle.
To find the angle with "neither" Complementary nor Supplementary you use the process of elimination
Hope this helps! please give brainliest.
An online furniture store sells chairs for $100 each and tables for $600 each. The store must sell a minimum of $11000 worth of chairs and tables each day. Write an inequality that could represent the possible values for the number of tables sold, tt, and the number of chairs sold, cc, that would satisfy the constraint.
Answers
Answer:
The equation is to solve this is: 600t + 100c is greater than or equal to 11000
Step-by-step explanation:
Answer:
600t + 100c > 11000
Step-by-step explanation:
got it right on delta math hope this helped
what is the percent decrease of 2,400 to 2,100?
Answers
#You times it with ×100 to get the percentage
#Part of the number/total number
2400 - 2100 = 300
300/2400 × 100 = 12.5%
So the percentage decreased is 12.5%