PLEASE HELP !!!!!!! what is the coordinate of the vertex of the following parabola: (x-1)^2=12(y+2)
a. (-1, 2)
b. (1, 2)
c. (1, -2)
d. (0, 12)
Answers
The coordinate of the vertex of the parabola is option (C) (1,-2) is the correct answer.
What is the equation of the parabola?The set of all points in a plane that are equidistant from a fixed line and a fixed point (not on the fixed line) in the plane is a parabola. The fixed line is the ‘directrix’ and the fixed point is the ‘focus’. The point of intersection of the parabola with the axis is the vertex.
For the given situation,
The equation of parabola is [tex](x-1)^2=12(y+2)[/tex] ------ (1)
The diagram below shows the parabola and the vertex of the equation of parabola.
The general form of the equation of parabola is
[tex](x-h)^{2} =4a(y-k)[/tex]
Here the vertex is (h,k)
Now compare the equation 1 with this general form, we get
⇒ [tex]h=1[/tex] and [tex]k=-2[/tex]
Hence we can conclude that the coordinate of the vertex of the parabola is option (C) (1,-2) is the correct answer.
Learn more about equation of the parabola here
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Related Questions
Multiply 3 by the number of apples in each bag x and add it to 3 times the number of bananas in each bunch y an then multiply that sum by 3
Answers
Answer:
9(x+y)
(3x + 3y) 3
1. A signal tower has two lights that are 30 feet apart from each other, one directly above the other. From
a boat, the angle of elevation of the lower light is 14 degrees, and the angle of elevation yo the upper
light is measured to be 32 degrees.
a) Find to the nearest foot the distance from the boat to the lower light.
b) The boat and the foot of the tower are in the same horizontal plane. Find to the nearest foot the
distance from the boat to the foot of the tower.
Answers
Solution :
It is given that the distance between the two lights is 30 feet.
The angle of elevation of the upper light from the boat, ∠ ABP = 32 degree
The angle of elevation of the lower light from the boat, ∠ ABQ = 14 degree
∴ ∠ PBQ = ∠ ABP - ∠ ABQ
= 32 - 14
= 18 degree
In triangle PAB
∠ PAB = 180 - (90 + 32)
= 58 degree
Similarly in triangle AQB
∠ AQB = 180 - (90 + 14)
= 76 degree
Now considering triangle PBQ and applying the sine theorem,
[tex]$\frac{PQ}{\sin 18}=\frac{BQ}{\sin 58}$[/tex]
we know PQ = 30 feet
∴ [tex]$BQ =\frac{\sin 58}{\sin 18} \times 30$[/tex]
= 82.33 feet
Again taking the right triangle ABQ and applying sine theorem,
[tex]$\frac{BQ}{\sin 90}=\frac{AB}{\sin 76}$[/tex]
[tex]$\frac{82.33}{\sin 90}=\frac{AB}{\sin 76}$[/tex]
∴ [tex]$AB = 82.33 \times \sin 76$[/tex]
= 79.88 ft
= 80 feet
1/4-x<2x+1 what does x equal?
Answers
Answer:
Mark me as brainliest
and zoom in
During a 12-hour period, the temperature dropped 48°. How many degrees did the temperature drop each hour?
1) -576 degrees
2) 4 degrees
3) 576 degrees
4) -4 degrees
Answers
Answer:
4degree
Step-by-step explanation:
Just divide 48 by 12 so as to get the temperature dropped in each hour
IN
6
Ted can read 135 pages in 3 hours.
Which statement is true?
A The unit rate is 135 pages in 3 hours.
B
The unit rate is 45 pages in 1 hour.
The unit rate is 45 pages in
1
3
of an hour.
None of the statements are true PLEASE HELPPP MEEE ANSWERRR THIS QUESTION
Answers
Answer:
45 pages in 1 hour
Step-by-step explanation:
Find the unit rate by dividing the number of pages by the number of hours
135/3
= 45
This means he can read 45 pages in 1 hour.
The unit rate is 45 pages in 1 hour.
If you have complementary angles and one angle is 83°, what is the other angle?
Answers
Answer:
7 degrees
Step-by-step explanation:
90-83=7
Answer:
7 degrees
Step-by-step explanation:
complementary angles are equal to 90
Is a parabola a one-to-one function?
Answers
Answer:
no
Step-by-step explanation:
The function f(x)=x2 is not one-to-one because f(2) = f(-2). Its graph is a parabola, and many horizontal lines cut the parabola twice. The function f(x)=x 3, on the other hand, IS one-to-one. If two real numbers have the same cube, they are equal.
Dakota's Burger Place made 4 burgers with onions and 7 burgers without onions. If they made a total of 132 burgers, how many burgers will have onions?
Answers
Answer:
48 burgers with onions
Step-by-step explanation:
7 = 4 = 11 sets of burgers with & without onions
132 / 11 = 12
4 x 12 = 48 burgers with onions
Answer:
48 burgers also onions
Step-by-step explanation:
the straight line L has an equation y=1/2x+7. The straight line m is parallel to L and passes through the point (0,3). Write down an equation for the line M.
Answers
Answer:
y = x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 7 ← is in slope- intercept form
with slope m =
Parallel lines have equal slopes
line M crosses the y- axis at (0, 3) ⇒ c = 3
y = x + 3 ← equation of line M
FOUND THIS ON THIS APP SO IM NOT 100% SURE THIS IS THE RIGHT ANSWER
9. Zane owes his dad money for his cell phone that he
lost. So far, Zane has paid his dad $23, and he will pay
his dad an additional $45 each month until he has
repaid him for the phone. Which equation shows the
relationship between m, the number of months that
Zane has been making payments and t, the total
amount he has paid his dad?
Answers
Answer:
T=45m+23
Step-by-step explanation:
Answer:
T=45m+23
Step-by-step explanation:
Barry and Bernice have obtained a 30-year, fixed rate mortgage for $635,250 with a 7.35% interest rate. They purchased 2 points and their rate is now 6.925%. Factoring in the cost of points, when is the break-even point on their mortgage?
2 years, 11 months
3 years, 11 months
5 years, 10 months
2 years, 4 months
Answers
Explanation
how do you solve 8x-3y=-70 and -2x+5y=-8 using the elimination method please show work.
Answers
Answer:
6x+2y=-78
Step-by-step explanation:
8x-3y=-70
-2x+5y=-8
6x+2y=-78
Answer:
(-11, -6).
Step-by-step explanation:
8x-3y=-70
-2x+5y=-8 Multiply this equation by 4:
-8x+20y=-32
Now add this last equation to the first equation:
17y = -102 - we see that we have eliminated x.
y = -102/17
= -6.
Now plug y=-6 in the first equation to get x:
8x-3(-6)=-70
8x =-70 -18
8x =-88
x = -11.
what is (0,3) given a slope of -2, in slope intercept form
Answers
Answer:
y=-2x + 3
Step-by-step explanation:
Answer:
y=-2x + 3
Step-by-step explanation:
(0,3) is the y intercept and
-2 is the slope
can someone help me pls i need the answer to pass pls. 80 points and ill give you brainliest
Answers
Answer:
Hello, I Am BrotherEye, I Am Happy To Help
Step-by-step explanation:
triangle LMN is shown what is the area of the triangle
Answers
Answer:
16
Step-by-step explanation:
(2 means squared) (c is the hypotenuse)
a2+b2=c2
a2+ (12×12) = (20×20)
a2+144=400
a2=256
a=16
A store buys 200 shirts at the cost of 1,600$ and sells them at 10$ . What the percent markup
Answers
Answer:
25% markup
Step-by-step explanation:
they bought 200 shirts for 1600, which is 8$ per shirt
if they sell then at 10$ they get 2 dollars profit.
if you do 2/8 you get 25%
Also 1/4 of 8$ is 2$ and that is what your profit is.
Answer:
25%
Step-by-step explanation:
Cost of one short:
1600 : 200 = $8
8 + 8(x/100)= 10
800 + 8x= 1000
8x = 200
x = 25 %
I need help with this
Answers
Instead of ( 1 - 4) all satisfy the equation
hope it helps
Factor x2 + 15x + 50
To receive all 5 points, include the question (+1 point), your work to find the two numbers (+3 points), and the final answer (+1 point).
Answers
Step-by-step explanation:
here's your solution
=> x^2 + 15x + 50
=> By using middle term split
=> x^2 + 10x + 5x + 50
=> taking common from each
=> x(x + 10) + 5(x + 10)
=> (x + 5) (x + 10
hope it helps
Can somebody plz help answer these questions correctly (only if u know how to do it) thx sm! :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD
Answers
Answer:
<5 = 30
<6 = 60
<BFD = 120
Step-by-step explanation:
Which equation represents a line which is parallel to the line y = -4/5x + 8?
4x + 5y = -15
5y - 4x = -35
5x + 4y = 16
5x - 4y = -32
Answers
Answer:
id k i got 4x + 5y=40
Step-by-step explanation:
Juanita is bringing the snacks for her daughter’s soccer team. Each girl on the team will eat 1/3 of an orange and drink one serving of juice or 1/9 of the amount in a bottle. How many oranges and how many juice bottles will she need for all 18 girls?show you work!!
Answers
Answer:
6 Oranges and 2 bottles of juice.
Step-by-step explanation:
For the amount of oranges: 18÷3=6 (take 1/3 of 18).
For the bottles of of Juice: 18÷9=2 (take 1/9 of 18).
in this question, if the numerator is 1, then just divide the number of girls by the denominator (eg. 3 and 9 in this case).
There are six oranges and two bottles of juice will she needs for all 18 girls.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
For example 4/2 = 2
There are the total number of girls is 18. Each girl will eat 1/3 of an orange and one serving of juice, or 1/9 of the amount in a bottle.
To determine the number of oranges and the bottles of juice.
We have to divide the number of girls by the denominator (eg. 3 and 9 in this case).
For the number of oranges:
1/3 of 18
18 ÷ 3
18 / 3 = 6
For the bottles of Juice:
1/9 of 18
18 ÷ 9
18 / 9 = 2
Hence, there are six oranges and two bottles of juice will she needs for all 18 girls.
To learn more about the division operation click here :
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Find the mean of the data in the dot plot below. students Size of each of Mr. Sirac's classes + + + + 21 20 22 23 24 25 26 28 27 Number of students Show Calculator Report a Stuck? Watch a video or use a hint.
Answers
The answer is not as follows about this PI PROBLEM:
- 4 equal sides
- 25
-20
Read this not JUST ABOUT AREA BUT FINDING THE AREA USING PI.
Formula for area is :3.14*radius*2
NOT 5*5 or 5*4 I see where you guys went wrong. The next time someone posts an answerthat only deals with normal area for this PI problem then you will be reported. Don't do this for points only please. Thank you for helping me with this PI PROBLEM!!!!!
Answers
Answer:19.625
Step-by-step explanation:
Answer: 19.625in^2
Step-by-step explanation:
If correct I’ll give brainlist
Answers
Answer:
c^9 / 4
Step-by-step explanation:
help please no links please
Answers
Answer:
7 muffins
Step-by-step explanation:
9x9=81
88-81=7 muffins
Answer:
7 muffins
Step-by-step explanation:
88 x 9 =
81
81 + 7 = 88
So the Answer is 7
6. If f(x) = -2r2 + x-5, what is f(3)?
Answers
Answer:
Step-by-step explanation:
How many square inches of paper would you need to cover this entire prism
Answers
A rectangle has a length of 6 cm and an area of 18 cm2.
What is the width of the rectangle?
Answers
Answer:
A=l×b
18 = l × b
b = 18/6
b = 3
A is the vertex angle, AB=5x-14 and AC=3x+5. Find the length of one of the legs.
Answers
Answer:
85
Step-by-step explanation:
Find the length of AB. help asap !!!
Answers
Answer:
AB = sqrt 74 = 8.602
Step-by-step explanation:
simple:
a^2+b^2=c^2
5^2+7^2=74
ab=sqrt 74
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(8−3)2+(2−9)2(8-3)2+(2-9)2
= √52+(−7)252+(-7)2
= √25+4925+49
= √7474 = 8.6023
Distance between points (3, 9) and (8, 2) is 8.6023
