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
rusak2 [61]
2 years ago
13

7. A vase 25 cm tall is positioned on a bench near a wall as shown. The shape of the vase follows the curve y = (x - 10)^2, wher

e y cm is the height of the vase and x cm is the distance of the vase from the wall.
a. How far is the base of the vase from the wall? b. What is the shortest distance from the top of the vase to the wall?
c. If the vase is moved so that the top just touches the wall, find the new distance from the wall to the base.
d. Find the new equation that follows the shape of the vase.​
Mathematics
1 answer:
Kitty [74]2 years ago
4 0

Answer:

Step-by-step explanation:

the base of the vase will be where the vase touches the x-axis, that is 10 cm, therefore, the base is 10 cm from the wall

:

b) 25 = x^2 -20x +100, we solve for x to find the closest distance since as we move up the vase the distance to the wall gets closer(assume the y-axis is the wall), then

x^2 -20x +75 = 0  (x-15) * (x-5) = 0

x = 15 and x = 5

we reject x = 15

the shortest distance from the top of the vase to the wall is 5 cm

:

c) this is a left shift of the equation y = (x-10)^2

from b) we know that the left shift is 5 cm

10 - 5 = 5 cm from the wall to the base

:

d) y = (x-10+5)^2

y = (x-5)^2    

You might be interested in
Pls help will give brainiest
MAXImum [283]

Answer:

113

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Hhhhhhhheeeeeeeeeellllllllllpppppppppp
juin [17]

answer: d

explantion :

Factor the numerator and denominator and cancel the common factors.

3 0
3 years ago
The Hu family goes out for lunch, and the price of the meal is $52. The sales tax on the meal is 6%, and the
Olegator [25]

Answer:

62.92

Step-by-step explanation:

21 percent of 52$ is 10.92 then add em together hope it helps

7 0
2 years ago
For equal intervals, _____ functions have equal factors.
Lostsunrise [7]

Answer:

exponential. not linear functions because they change by equal differences not intervals.

3 0
3 years ago
Read 2 more answers
PLEASE HELP!!! Write an equation for the following scenario.
alexandr402 [8]

Answer:2n + 8 = n-3

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • 1 hundredth plus 3 tenths equals
    15·1 answer
  • The lines below are perpendicular. If the slope of the green line is 3/2, what is the slope of the red line​?
    12·2 answers
  • Do (12+6)÷2 and 12+6÷2 have the same answer? Explain why.
    14·2 answers
  • Caleb is putting tile down in his bathroom and needs to know the perimeter of the floor. Two sides rectangular floor are 5 1/3 f
    13·1 answer
  • Your petty cash has a balance of $73.28. Your Center Manager provides you with two receipts totalling $52.29. How much cash rema
    12·1 answer
  • What are the coordinates of the point on the directed line segment from (-5, -1) to
    13·2 answers
  • It is for my final, please help!
    12·1 answer
  • Lindsay has to read a 72-page book in 6 days. If she reads an equal number of pages each day, how many pages will Lindsay need t
    10·2 answers
  • A food truck is serving a special lunch combo meal that includes a drink, a main dish, and a dessert.
    10·1 answer
  • (08.02)How many solutions are there for the system of equations of shown on the graph?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!