1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hitman42 [59]
3 years ago
13

A parabola has a vertex at (4, 0) and passes through the point (6, 1). What is the equation of the parabola?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0
We are given the vertex of  a parabola equal to (4, 0) and that the passes the point (6,1). In this case, it is assumed from the given that the parabola is facing upwards. In this case, the equation is (y-k) = 4a (x-h)^2 ; y = 4a (x-4)^2 when x is 6 and y is 1. then, 
 1 = 4a (6-4)^24a is equal to 1/4
the equation then is y = 1/4 (x-4)^2
You might be interested in
BRAINLIEST & 25 POINTS PLEASE HELP URGENT DUE IN 10 MINUTES.
Cerrena [4.2K]

Answer:

C) 24 adults

Step-by-step explanation:

Let A be the number of adults and C be the number of children.

If a ticket costs $8 per adult, we can express this as 8A

If a ticket costs $5 per child, we can express this as 5C

Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.

Our second equation would be A+C=40 since there are 40 people.

Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.

The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:

8A+5(40-A)=272

8A+200-5A=272

3A+200=272

3A=72

A=24

Therefore, there are 24 adults

5 0
2 years ago
What's does x equal?
GenaCL600 [577]
7/6X=140
X=120
That's your answer.
8 0
2 years ago
Read 2 more answers
HELPPPP PLEASE HELP ME WITH BASIC MATH I REALLY APPRECIATE IT ((WILL MARK AS BRAINLIEST))​
Yakvenalex [24]

Answer:

3) 522

4) 468

Step-by-step explanation:

hello!

3) in the question, it says the cross section is a square, and the area of PQRS is 81.

for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)

with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.

both squares : 81+81=162

both 10 by 9 sides: 90+90=180

both 10 by 9 sides (top and bottom): 90+90=180

total surface area=162+180+180=522

4) for this problem, we can see that the triangle is a right triangle.

to solve the area of the triangle, we can do (9*12)/2=108/2=54.

there are two sides with triangles, so we double 54 (54*2=108)

9 by 10 side: 90

10 by 12 side: 120

now for the last slide, theres no information on the length. the formula for the diagonal is

a^2+b^2=c^2

which is

9^2+12^2=81+144=255=15^2

with this, the area of the rectangular side gives us 10*15 which is 150.

adding it together, we get

108+90+120+150=468.

hope this helps!

7 0
2 years ago
A cone is sliced such that the cross section is perpendicular to its base and the cross section intersects its vertex.
Bas_tet [7]
The scenario described above is like dividing a right cone from the vertex down to the center for the base. The polygon that can be formed from the division or in this case slicing is a triangle. Thus, the answer to this item is letter B. 
3 0
3 years ago
Read 2 more answers
what is an equation for the line that passes through (-1,-4) and (1,4)? Write the equation in slope-intercept form.
hichkok12 [17]
To find the slope use the formula Y2-Y1 --------- X2-X1 (-1,-4) (1,4) 4- -4 = 8 ------------- 1- -1 = 2 8/2=4 This will be your slope Y=4x Now we must figure out the y-intercept using the formula Y-y1=slope(x-x1) Y- -4= 4(x- -1) Y+4= 4x + 4 The 4 distributes to the x and -1 Y=4x +4 -4 Y= 4x This is your answer in slope intercept form. P.S if you have a number minus a negative number it makes it a positive number
7 0
3 years ago
Other questions:
  • A bus on a regular schedule takes 3 1/4 hours to reach its destination. The express bus takes 2 1/2 hours to make the same trip.
    8·2 answers
  • If y= -6 when x= -2 find y when x= 5
    10·1 answer
  • Water is pumped into a tank at a rate of r (t)=30(1−e− 0.16t) gallons per minute, where t is the number of minutes since the pum
    5·1 answer
  • Can an equation have equal expressions
    9·1 answer
  • The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in the lake. What is
    5·2 answers
  • What is the solution to this equation?
    8·1 answer
  • The answer to 4(7m+6f)
    12·1 answer
  • Helpppp 2x-1>5 and 3x-5<19
    12·1 answer
  • Find the slope of the line graphed below.​ 21 points!
    13·2 answers
  • Can someone please help mee (20 points and i will give brainliest!!!)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!