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
Olenka [21]
3 years ago
13

What is the maximum vertical distance between the line y = x + 56 and the parabola y = x2 for −7 ≤ x ≤ 8?

Mathematics
1 answer:
atroni [7]3 years ago
5 0
-7 and 8 are the solutions to the given equation system.
Therefore, the maximum distance between the y values of the two equations must lie exactly between their points of intersection. That is on x value:
x = (-7 + 8)/2 = 0.5
The maximum distance is:
y = 0.5 + 56 = 56.5
y = 0.5² = 0.25
56.5 - 0.25 = 56.25 units
You might be interested in
6 - 8x = 5x - 10x + 12<br> Please help I suck at math thank you
Irina18 [472]

Answer:

I guess it's -2

Step-by-step explanation:

6-8x = 5x - 10x + 12

∴ 10x - 8x - 5x = 12 - 6

∴ 10x- 13x = 6

∴ - 3x = 6

∴ x = -6\3

∴ x = -2

3 0
2 years ago
Read 2 more answers
How is solving a problem about constant speed similar to solving a problem about unit price?
DochEvi [55]
Unit price means divide. And a speeding is a problem that you do in class.
6 0
3 years ago
On Mars, an object weighs 38% as much as on Earth. How much would a person who weighs 165 pounds on Earth weigh on Mars?
nikdorinn [45]

Answer:

62.7

Step-by-step explanation:

165 * 0.38 = 62.7


This is assuming you mean an object weights 38% less on mars then earth, if its the other way around(they weight 38% more on mars then earth) it would be,


165 * 1.38 = 227.7

8 0
3 years ago
Read 2 more answers
What its the exact and estimate of -3.7 +(-6.8) and i need work
hodyreva [135]

Exact:

-3.7 - 6.8 = -10.5

Estimate:

-4 - 7 = -11

6 0
3 years ago
Read 2 more answers
If the endpoints of the diameter of a circle are (−6, 6) and (6, −2), what is the standard form equation of the circle?
Varvara68 [4.7K]
1. Find the centre of the circle or the midpoint of the two numbers
(6-6/2}, (-2+6/2)
(0, 2)
2. Find radius using the distance formula
√<span>(6 - 2)² + (-6 - 0)²
</span>√4² + (-6)²
√16 + 36
√52
r = 7.21
3. Plug in
x² + (y - 2)² = 52

So it is option D 99% sure
6 0
2 years ago
Read 2 more answers
Other questions:
  • ONLY NUMBER 7. HELP PLEASEEEE. I START SCHOOL TOMORROW
    14·2 answers
  • Can somebody show me how to divide 45.35 by 10,000.? I know the answer is 0.004535 but, I need to show my work
    7·1 answer
  • Ashley runs 6 miles in 49 minutes. how many miles does she run per minute?
    8·1 answer
  • I need lil help on theses kidda confuse on the key word are apologized
    6·1 answer
  • Lamar and Jessie are multiplying 7/9 * 4/9
    14·1 answer
  • Consider the following. f(x, y, z) = x2yz − xyz8, P(6, −1, 1), u = 0, 4 5 , − 3 5 (a) Find the gradient of f. ∇f(x, y, z) = (b)
    8·1 answer
  • What is the equation of the line that passes through the points (3,-2) and (-1,2)
    13·1 answer
  • Y= -2x +9 what does x equal ?
    15·1 answer
  • What area of the grass is being watered by this sprinkler
    10·1 answer
  • Function f is a quadratic function passing through the points (-4,0),(0,–12) and (3,0). Function g is modeled by the graph. Over
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!