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
a_sh-v [17]
3 years ago
6

What is the equation of a parabola in vertex form for a line that passed through (5,-4) and has vertex (-2,5)

Mathematics
1 answer:
Ahat [919]3 years ago
5 0

\text{The vertex form of a parabola}\\\\y=a(x-h)^2+k\\\\\text{We have the vertex}\ (-2,\ 5)\to h=-2,\ k=5.\\\\\text{Substitute}\\\\y=a(x-(-2))^2+5=a(x+2)^2+5\\\\\text{We have the point}\ (5,\ -4).\\\text{Substitute the coordinates of the point to the equation:}\\\\-4=a(5+2)^2+5\\\\-4=a(7)^2+5\\\\-4=49a+5\qquad|-5\\\\-9=49a\qquad|:49\\\\a=-\dfrac{9}{49}\\\\Answer:\ \boxed{y=-\dfrac{9}{49}(x+2)^2+5}

You might be interested in
find the slope of the line between each pair of points (5,11) (-3,-6) explain how you got the answer so I can see.
lorasvet [3.4K]
You can use slope formula to find slope of given points.
m = (y2-y1)/(x2-x1)
m = (-6-11)/(-3-5)
m = -17 / -8
Cancel out minus sign in both nominator and denominator. Thus,
m = 17/8
Hence, the slope is 17/8
4 0
3 years ago
the size of a rectangular computer screen is determined by the length of its diagonal. tom buys a 52cm screen that is 33 cm high
Snowcat [4.5K]

Answer:

40.20cm approx

Step-by-step explanation:

Step one

given data

We are told that the dimension of a computer screen

diagonal= 52 cm

height= 33cm

Length = ?

Required

The length of the base of the screen

Step two

Let us use Pythagoras theorem to find the length of the base

Hyp^2= Opp^2+ Adj^2

52^2= 33^2+ L^2

2704= 1089+L^2

L^2= 2704-1089

L^2= 1615

L=√1615

L= 40.20cm approx

<u>The length is 40.20cm approx.</u>

8 0
3 years ago
Heights of female students at ohs follows a normal distribution that has a mean of 65.2 inches with a standard deviation of 2.1
Murljashka [212]

Answer:

Ok... is this supposed to be a question??

4 0
2 years ago
How do You supposed to do this i need many method to do it.
defon
I like the substitution method. Which is when you make one equation equal only x or y and plug it into the other equation)

There is also the graphing method. If you graphed it, it might not be quite as accurate (at least on hand, on computer you would be pretty exact)

Then there is the elimination method. You multiply one of the equations by a coefficient so that you can eliminate x or y from the equation. 
4 0
3 years ago
Find the slope of the line between the points (4,1) and (8,9)
Liono4ka [1.6K]
Use the slope formula which is; 
slope= (y2 - y1)/ (x2 - x1)
slope= (9-1)/ (8-4)
Slope= (8)/(4)
Slope= 2
6 0
3 years ago
Other questions:
  • David and Eric each shot 6 arrows at the target shown. David shot 4 arrows into A and 2 into B. His score was 18 points. Eric sh
    12·1 answer
  • True or False: You can draw a quadrilateral with no parallel lines and at least one right angle.
    9·1 answer
  • 22=7+3x please explain. I think you do -22 on both sides
    15·2 answers
  • Solve the proportion 8/3 = g/3
    6·1 answer
  • Help and solve please!!!!!
    8·2 answers
  • Define a variable and write an expression for the phrase. 8 minus a number 8n 8 – n
    13·1 answer
  • What is the reciprocal of 6
    14·1 answer
  • How can you use two-step equations and inequalities to represent and solve real-world problems?
    11·1 answer
  • Please help me with the problem​
    14·2 answers
  • For the equation y = -4x -8
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!