The correct general conic form equation of the parabola with a vertex at (-2, 3) and a focus at (1, 3) is y^2 - 6y - 12x + 15 = 0.
To find the equation of a parabola given its vertex and focus, we need to determine the value of p, which represents the distance between the vertex and the focus. In this case, the vertex is (-2, 3), and the focus is (1, 3). The x-coordinate of the focus is greater than the x-coordinate of the vertex, indicating that the parabola opens to the left.
The distance between the vertex and the focus is given by the equation p = |(x2 - x1)/2|, where (x1, y1) is the vertex and (x2, y2) is the focus. Substituting the given values, we get p = |(1 - (-2))/2| = 3/2.
Using the general conic form equation for a parabola, which is (y - k)^2 = 4p(x - h), where (h, k) is the vertex and p is the distance between the vertex and the focus, we substitute the values and simplify to obtain y^2 - 6y - 12x + 15 = 0.
Therefore, the correct equation for the parabola is y^2 - 6y - 12x + 15 = 0.
For more such questions on parabola
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A culture started with 2,000 bacteria. After 2
hours, it grew to 2,400 bacteria. Predict how
many bacteria will be present after 10 hours.
Round your answer to the nearest whole
number.
P= Aekt
Answer:
14,000
Step-by-step explanation:
if wrong i'm sorry
Find the median of the data set represented in the following stem-and-leaf plot.
62
63
64
67
Answer:
67
Step-by-step explanation:
someone help me pls 10 points
Answer:
x=-5
Step-by-step explanation:
Enter the number that belongs in the green box
Equilateral triangles are triangles whose all sides and angles are equal.
Since the above given triangle has 3 equal sides it is an equilateral triangle.
So, the three angles of this triangle can be 3x.
Which means :
[tex] =\tt 3x = 180[/tex]
[tex] =\tt x = \frac{180}{3} [/tex]
[tex]\hookrightarrow \tt \color{plum}x = 60°[/tex]
▪︎Therefore, x = 60°
solve the equation
[tex]6 - 2x = 3x[/tex]
1. Use the number line to help you decide which statement is true.
Answer:
2/5 < 1/2
Step-by-step explanation:
First, find the LCM for both denominators because you can't multiply 2 to get to 5. The LCM of 5 and 2 are 10, so you put that as their denominator. Then you have to think what you multiplied by 5 or 2 to get 10. For 2/5, you multiplied 5 by 2 to get 10, so multiply the numerator by 2 too. For 1/2, you multiplied 2 by 5 to get 10, so multiply the numerator by 5. Now, you will have 4/10 and 5/10. It's pretty obvious that 5/10 is bigger than 4/10, so the correct answer is 2/5 < 1/2
is there anyone who can help with this????
Answer:
C equals 48
Step-by-step explanation:
You add the two angles you have and take that answer and subtract it from 180 and that is the missing angle measure
Write each fraction as an expression using a negative exponent other than -1. 3. 1 ___________ 4 24. 1 ___________ 100
Answer:
[tex]\frac{1}{4} = 2^{-2}[/tex]
[tex]\frac{1}{100} = 10^{-2}[/tex]
Step-by-step explanation:
The question is poorly formatted. However, I am able to get:
1. 1/4 and 2. 1/100
Required
Write as an expression of negative expression
1. 1/4.
Express 4 as 2^2
[tex]\frac{1}{4} = \frac{1}{2^2}[/tex]
Apply
law of indices [tex](\frac{1}{a^b} = a^{-b})[/tex]
[tex]\frac{1}{4} = 2^{-2}[/tex]
2. 1/100.
Express 100 as 4^2
[tex]\frac{1}{100} = \frac{1}{10^2}[/tex]
Apply law of indices [tex](\frac{1}{a^b} = a^{-b})[/tex]
[tex]\frac{1}{100} = 10^{-2}[/tex]
Please Help!!!!!!!!!!!!! Will Give Brainliest
Answer:
sum of all angles =180
15° + 25° +(39+x) =180°
40° + 39 +x = 180
79° +x =180
x = 180 - 79
x. = 101
complete angel = 39 +x
= 39 + 101
= 140
can someone help pls 10 points
Answer:
A. 4x - 6 = -3x + 5
Step-by-step explanation:
you just have to take the first equation and substitute that in, in the second equation.
hope that helps. have a good day!
What is W(x) = 3/5x + 2
Answer:
W(x)=3/5x+2
W(1)=3/5(1)+2
w(1)=13/5
꧁꧂
W(2)= 3/5×(2)+2
W(2)=3/10+2
W(2)=23/10
꧁꧂
W(3)=3/5×(3)+2
W(3)= 7
Cement costs $76 per cubic yard. What is the cost of cement for a sidewalk that is 4 in. Thick, 3ft wide,and 40 ft. Long?
Answer:
112.46 yd³
Step-by-step explanation:
1 inch = 0.0278 yds
1 feet = 0.333 yd
Thickness = 4 inches = (4 * 0.0278) = 0.1112 yds
Width = 3 feets = (3 * 0.333) = 0.999 yds
Length = 40 feets = (40 * 0.333) = 13.32 yds
Volume of sidewalk :
Thickness * Width * Length
0.1112 * 0.999 * 13.32 = 1.479702816 yd³
1 yd³ of cement = $76
Cost :
1.479702816 yd³ * $76
= 112.457414016
= 112.46 yd³
cos4A+sin4A-2cos2Asin2A=(2cos2A-1)2 prove it.
cos4A-sin4A=2cos2A-1
proved below.
Step-by-step explanation:
Given:
cos^4A-sin^4A=2cos^2A-1
LHS=cos^4A-sin^4A
=[cos^2A]^2-[sin^2A]^2
=[cos^2A+sin^2A][cos^2A-sin^2A]
=[1][cos^2A-(1-cos^2A)] [ cos^2A+sin^2A=1]
=[cos^2A-1+cos^2A]
=2cos^2A-1
=RHS.
-4(x+6)+2(x-2) please help!
Answer:
−2x−28
Step-by-step explanation:
Distribute:
=(−4)(x)+(−4)(6)+(2)(x)+(2)(−2)
=−4x+−24+2x+−4
Combine Like Terms:
=−4x+−24+2x+−4
=(−4x+2x)+(−24+−4)
= −2x - 28
I think I have the answer but, I really need help with the steps!
Answer:
simplify to:
6-32768/-60
simplify more
-32762/-60
take away the negatives
32762/60
simplify the fraction
16381/30
keep going till you get the answer
If you answer correctly I will give you brainlest 5 stars and a thank you
A baseball field has four bases that form the shape of a quadrilateral. If someone invented a
new game similar to baseball that had four extra bases in the field, what type of polygon would
the bases form?
Apentagon
Boctagon
Chexagon
Ddecagon
how many cubes with a .25 inch side length will fit in a rectangular prism with a volume of 35.62
Answer:
142.48
Step-by-step explanation:
this i think is the answer
I need help ASAP THIS IT TIMED!!
Answer:
yeah its probably done well
Step-by-step explanation:
Please help quick will give brainliest!
Answer:
There is a vertical asymptote at x = 4 because lim g(x) = ∝ and lim g(x) = -∝
-2/9 + (-4/5) i need help please
Answer:
-46/45
Step-by-step explanation:
-2/9 + (-4/5)
can be re-written as
-2/9 - 4/5
which equals -46/45
if they want you to answer in decimal form, it will be -1.02
Please help me!! There is 2 answer!!
plz help just look at the picture
Answer:
120
Step-by-step explanation:
Answer:
the answer is C) 120
Step-by-step explanation:
The length of a driveway is 18 yards what is it in feet?
Answer:
Step-by-step explanation:
18yd(3ft/yd)=54ft
Answer:
Hello! :) have a good day!
54 feet
Sarah’s parents purchased a refrigerator for $320. If sales tax is 7% of the cost, how much tax did Sarah’s parents pay for the refrigerator
Answer:
22.4
Step-by-step explanation:
7% of the cost is 22.4
Answer:
$22.40
Step-by-step explanation:
Let's convert the 7% sales tax into a decimal, which should be 0.07Multiply the sales tax (as a decimal) by the cost of the refrigerator ($320). You should get $22.40Edit: Read something wrong, I fixed it, sorry.
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 1,176 square feet. The width of the basement is 2 3 its length. What is the length of Louis's basement?
Answer: 42 feet
Step-by-step explanation:
Let the length be x
Therefore, width = 2/3x
Area = Length × Width
Therefore, x × 2/3x = 1176
2/3x² = 1176
Divide both side by 2/3
x² = 1176 ÷ 2/3
x² = 1176 × 3/2
x² = 1764
x = ✓1764
x = 42
The length is 42 feet
What is the circumference of a circle with a radius of 3 inches? Use 3.14 for Tr.
A. 9.42 cm
B. 18.84 cm
C. 113.04 cm
D. 28.26 cm
kayden mixed two solutions together which causes a chemical reaction and the solution becomes warm. which statement best describes what has happened
A. energy has been transformed from one form to another
B. energy has been created, where it did not exist before
C. the chemicals energy of the solution had been described
D. more energy has been created than has been destroyed
According to law of conservation of energy, the statement which best describes what has happened is that energy has been transformed from one form to another.
What is law of conservation of energy?According to law of conservation of energy, it is evident that energy is neither created nor destroyed rather it is restored at the end of a chemical reaction .
Law of conservation of mass and energy are related as mass and energy are directly proportional which is indicated by the equation E=mc².Concept of conservation of mass is widely used in field of chemistry, fluid dynamics.
Law needs to be modified in accordance with laws of quantum mechanics under the principle of mass and energy equivalence.This law was proposed by Julius Robert Mayer in the year 1812.
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B.e b.i.g b.r.a.i.n a.t a.l.l t.i.m.e!
(Be big brain at all time!)
B I G B R A I N :-))
Antwan drew the circle graph below
describing his time spent at school in 1
day. His teacher said that the number of
hours listed were correct, but that the
central angle measures for the sectors
were not correct. What should be the
central angle measure for the Core
subject sector?
A. 72°
B. 80°
C. 160°
D. 200°
E. 288°
Factor ab + bc+ b² + ac.
A. (a + b)(b + c)
B. (a + c)(b + c)
C. b(a + b)(b + c)
Answer:
A. (a + b)(b + c)
Step-by-step explanation:
b( a + b ) + bc + ac
b( a + b ) + c ( b + a )
= (a + b)(b + c)
hope it helps!
Answer:
A
Step-by-step explanation:
a(b+c)+bc+bb
a(b+c)+b(c+b)
(b+c)(a+b)