Edge: Which equation has a focus at (–6, 12) and directrix of x = –12?
The solution is, b. x² = 12(y + 3) equation represents a parabola that has a focus of (0, 0) and a directrix of y = −6
What is parabola?The parabola is a plane curve which is mirror symmetrical and is approximately U-shaped. It fits several superficial different mathematical descriptions.
here, we have,
If the focus is (0,0) and the directrix is y=-6, the equation will be found as follows:
Let (x,y) be any point on the parabola. Find the distance between (x,y) and the directrix, then find the distance between (x,y) and the focus. Equate these two distance equations and the simplified equation in x and y is equation of the parabola.
The distance between (x,y) and (0,0) is √(x²+y²)
The distance between (x,y) and the directrix, y=-6 is ly+6l
Equate the two distance expressions and square on both sides
√(x²+y²)=ly+6l
x²+y²=(y+6)²
simplifying and bringing terms together we get:
x²-12y-36=0
make x² the subject:
x²=12y+36
x²=12(y+3)
Hence, Answer :b. x² = 12(y + 3)
learn more on parabola:
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complete question:
Which equation represents a parabola that has a focus of (0, 0) and a directrix of y = −6 ?
a. x² = 12y
b. x² = 12(y + 3)
c. x² = −3y
d. x² = −3(y + 3)
Answer:
C
Step-by-step explanation:
can you help me please
Answer:
Im pretty sure you divide 13 by x
Step-by-step explanation:
Mercury is the closest planet to the sun at a distance of 36 million miles. The closest star to the sun is Proxima Centauri, which is 4.24 light years away. A light year is 5.9 x 10 to the 12th power. How many miles from the sun is Proxima Centauri?
Answer:
2.36 * 10^13 miles
Step-by-step explanation:
Given that :
Proxima centauri is at a distance of 4.24 light years away from the sun.
Distance in miles of Proxima centauri from the sun ;
1 light year = 5.9 * 10^12 miles
Number of light years from the sun * 5.9 * 10^12
= 4 * (5.9 * 10^12)
= 23.6 * 10^12 miles
= 2.36 * 10^13 miles
PLS HELP I'LL MARK BRAINLEST
Answer: B.x = 52
we have;
2x + 76 = 180
⇔ 2x = 104
⇔ x = 52
Step-by-step explanation:
Answer:
I think C but im not 100% sure so don't take my word
what is the answer i need help asap pleaseee
Answer:
-4 degrees C
Step-by-step explanation:
-9 + 5 = -4
Almost done~!
❤️❤️❤️❤️❤️❤️❤️❤️✨✨✨✨✨✨✨✨✨✨
Answer:
<
Step-by-step explanation:
Hope this helps!
What is the area of the triangle shown below?
|
1
10
Answer:
[tex] \frac{1}{2} \times 10 \times 8 \\ \\ = 40[/tex]
this is the explanation.
I need some help please?
Answer:
38°
Step-by-step explanation:
hope this helps :)
15 x -3=?
5
45
-45
-5
Answer:
- 45
hope it's helpful ❤❤❤❤
THANK YOU.
What is the percentage of sugar in the syrup made of 10 kg of water and 2 kg of sugar. Thx yall :D
Ifp * (x) = 3x ^ 2 - 4 and r(x) = 2x ^ 2 - 5x + 1 . find value r(x + 2)
Answer:
r(x+2) = 2x² + 3x - 1Step-by-step explanation:
[tex]r(x) = 2x ^ 2 - 5x +1\\\\ r(x+2) = 2(x+2)^ 2 - 5(x+2) +1\\\\ r(x+2) = 2(x^2+4x+4) - 5x-10+1\\\\ r(x+2) = 2x^2+8x+8 - 5x-9\\\\ r(x+2) = 2x^2+3x-1[/tex]
If x+6>2x+4, which of the following is NOT a possible value for x?
245
Step-by-step explanation:
b
Answer:56
Step-by-step explanation:
22/44 in simplest form?
Answer:
22/44, divide both sides by 22, then you would got 1/2
1/2. This is because 22 is half of 44, so we can simplify it into 1/2.
71/3 - 21/4 (2 1/5 × 3/4) with working
2 feet to 43 inches type the ratio as a simplified fraction help with question plzz
Answer:
24/43
Step-by-step explanation:
2 feet = 24 inches
The answer is 24/43 or 24:43. I can't be simplified.
what is a ratio and what does fractions have to do with it?
Answer:
a ratio is a comparison of two quantities, and it has to do with fractions because a ratio is just a single fraction
Step-by-step explanation:
The price of a washing machine was decreased by 20% to £640.
What was the price before the decrease?
Answer:
£800
Step-by-step explanation:
Use the percentage formula: NV = m x OV
NV is New Value;
m is Multiplier;
and OV is Old Value.
£640 in the New value, so now we have to convert 20% to a multiplier and find out the Old value.
Make OV the subject of the formula: OV = NV / m
So 20% decrease would mean: 100 - 20 = 80 * 100 = 0.80
Divide 640 (NV) by 0.80 (m) and it will give you:
£800
And it would make sense that the OV is higher, and it matches the statement -> as the NV is the decrease.
What kind of triangle is this?
A) Isosceles
B) Scalene
C) Equilateral
Answer:
Scalene
Step-by-step explanation:
I WILL GIVE YOU BRAINLYEST!! PLSS HELP ME ASAP!!
write about how you
would find the Lateral Surface
Area vs the Total Surface Area
of the Rectangular Prism shown.
*DO NOT SOLVE*
How do I find the volume of a prism?
Answer:
470 cm³
Step-by-step explanation:
Decompose the prism into two rectangular prism.
Prism 1 will have the following dimensions and volume:
Length = 10 cm
Height = 8 cm
Width = 9 - 5 = 4 cm
Volume = L × W × H
Volume = 10 × 8 × 4 = 320 cm³
Prism 2:
Length = 10 cm
Height = 3 cm
Width = 5 cm
Volume = 10 × 3 × 5 = 150 cm³
✔️Volume of the entire prism = 320 + 150 = 470 cm³
Point A lies on the circle and has an x-coordinate of 1.
Which is the correct calculation of the y-coordinate of
point A?
Answer:
D
Step-by-step explanation:
edg
Answer:
D
Step-by-step explanation:
If 1.) Gabby made a scale drawing of the Sam Houston statue in Huntsville, TX. The statue is actually 67 feet tall. Gabby's model used a scale of 1 inch = 20 feet. What was the length of her drawing?
Answer:
3.35 inches
Step-by-step explanation:
Actual height of statue = 67 feets
Scale used : 1 inch = 20 feets
Let Length of drawing = x
1 inch = 20 feets
x inch = 67 feets
Cross multiply to obtain the length of the drawing in inches
20 * x = 67 * 1
20x = 67
x = 67 / 20
x = 3.35 inches
Hence, length of her drawing is 3. 35 inches
Find the value of x, y, and z
Answer:
Step-by-step explanation:
x + 28 + 39 = 180
x + 67 = 180
x = 113
y + 113= 180
y = 67
z + 67 + 64 = 180
z + 131 = 180
z = 49
-n+2=7
Can sum one tell me this answer
Answer:
n= -5
Step-by-step explanation:
Answer:
Step-by-step explanation:
-n is -5
pls mark brainliest
Can someone please help me it's due by tomorrow.
Answer:
Yea I can help you
was there supposed to be a picture included.
Step-by-step explanation:
Maria wants to know if the number of words on a page in her earth science book is generally more than the number of words on a page in her math book. She takes a random sample of 25 pages in each book, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.
Mean Median Mean Absolute Deviation
Earth science 48.9 41 9.2
Math 34.5 44 1.9
She claims that because the mean number of words on each page in the earth science book is greater than the mean number of words on each page in the math book, the earth science book has more words per page. Based on the data, is this a valid inference?
Answer:
No, because there is a lot of variability in the earth science book data.
Step-by-step explanation:
I just took the test and the explanation is that the earth book has more pages and more variability so that is why her answer is wrong.
Answer:
No, because there is a lot of variability in the earth science book data.
Step-by-step explanation:
42 is 28% of what
whover gets right can get branliest
Pls help
I can’t fail
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Please
You pick a card at random. Without putting the first card back, you pick a second card at random.
What is the probability of picking a 5 and then picking an even number?
Answer:
1/10 or 10%Step-by-step explanation:
Probability = favorable outcome / total number of outcomes
p(5) = 1/65 numbers left and 3 of them are even.
p(even) = 3/5So combined probability is:
p(5 and even) = 1/6*3/5 = 1/10Which fraction is closest to the benchmark 1?
A. 1/5
B. 1/3
C. 4/9
D. 8/9
Answer: D
Step-by-step explanation:
The larger the denominator gets, the smaller the parts are split, therefore 8/9 is the closest to 1